{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Steadystate of the Bloch-Redfield Master Equation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from qutip import *\n",
    "from IPython.display import display"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Compare steadystate of brmesolve and mesolve"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "def solve(H, psi0, c_ops, a_ops, e_ops):\n",
    "    \n",
    "    result_me = mesolve(H, psi0, times, c_ops, e_ops)\n",
    "    result_brme = brmesolve(H, psi0, times, a_ops, e_ops)\n",
    "    \n",
    "    fig, ax = plot_expectation_values([result_me, result_brme])\n",
    "    display(fig)\n",
    "    plt.close(fig)\n",
    "    \n",
    "    R, ekets = bloch_redfield_tensor(H, a_ops)\n",
    "    print(\"=\"* 20 + \" Bloch-Redfield tensor: \")\n",
    "    display(R)\n",
    "    \n",
    "    \n",
    "    L = liouvillian(H, c_ops)\n",
    "    print(\"=\"* 20 + \" Lindblad liouvilllian: \")\n",
    "    display(L)\n",
    "    \n",
    "    print(\"=\"* 20 + \" Bloch-Redfield steadystate dm\")\n",
    "    R_rhoss_eb = steadystate(R)\n",
    "    R_rhoss = R_rhoss_eb.transform(ekets, True)\n",
    "    display(R_rhoss)\n",
    "    \n",
    "    print(\"=\"* 20 + \" Lindblad steadystate dm\")\n",
    "    L_rhoss = steadystate(L)\n",
    "    display(L_rhoss)\n",
    "\n",
    "    print(\"=\"* 20 + \" Steadystate expectation values\")\n",
    "    print(\"R_ob: \", [expect(e, R_rhoss) for e in e_ops])\n",
    "    print(\"R_eb: \", [expect(e.transform(ekets), R_rhoss_eb) for e in e_ops])\n",
    "    print(\"L   : \", [expect(e, L_rhoss) for e in e_ops])\n",
    "\n",
    "    print(\"=\"* 20 + \" Dynamics final states\")\n",
    "\n",
    "    print(\"R: \", [e[-1].real for e in result_brme.expect])\n",
    "    print(\"L: \", [e[-1] for e in result_me.expect])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Two-level system"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "delta = 0.0 * 2 * np.pi\n",
    "epsilon = 0.5 * 2 * np.pi\n",
    "gamma = 0.25\n",
    "times = np.linspace(0, 50, 100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "H = delta/2 * sigmay() + epsilon/2 * sigmaz()\n",
    "psi0 = (2 * basis(2, 0) + basis(2, 1)).unit()\n",
    "c_ops = [np.sqrt(gamma) * sigmam()]\n",
    "a_ops = [[sigmax(),lambda w : gamma * (w >= 0)]]\n",
    "e_ops = [sigmax(), sigmay(), sigmaz()]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAe8AAAENCAYAAAAmBe1EAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10856cef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==================== Bloch-Redfield tensor: \n"
     ]
    },
    {
     "data": {
      "text/latex": [
       "Quantum object: dims = [[[2], [2]], [[2], [2]]], shape = (4, 4), type = super, isherm = False\\begin{equation*}\\left(\\begin{array}{*{11}c}0.0 & 0.0 & 0.0 & 0.250\\\\0.0 & (-0.125-3.142j) & 0.0 & 0.0\\\\0.0 & 0.0 & (-0.125+3.142j) & 0.0\\\\0.0 & 0.0 & 0.0 & -0.250\\\\\\end{array}\\right)\\end{equation*}"
      ],
      "text/plain": [
       "Quantum object: dims = [[[2], [2]], [[2], [2]]], shape = (4, 4), type = super, isherm = False\n",
       "Qobj data =\n",
       "[[ 0.000+0.j          0.000+0.j          0.000+0.j          0.250+0.j        ]\n",
       " [ 0.000+0.j         -0.125-3.14159265j  0.000+0.j          0.000+0.j        ]\n",
       " [ 0.000+0.j          0.000+0.j         -0.125+3.14159265j  0.000+0.j        ]\n",
       " [ 0.000+0.j          0.000+0.j          0.000+0.j         -0.250+0.j        ]]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==================== Lindblad liouvilllian: \n"
     ]
    },
    {
     "data": {
      "text/latex": [
       "Quantum object: dims = [[[2], [2]], [[2], [2]]], shape = (4, 4), type = super, isherm = False\\begin{equation*}\\left(\\begin{array}{*{11}c}-0.250 & 0.0 & 0.0 & 0.0\\\\0.0 & (-0.125+3.142j) & 0.0 & 0.0\\\\0.0 & 0.0 & (-0.125-3.142j) & 0.0\\\\0.250 & 0.0 & 0.0 & 0.0\\\\\\end{array}\\right)\\end{equation*}"
      ],
      "text/plain": [
       "Quantum object: dims = [[[2], [2]], [[2], [2]]], shape = (4, 4), type = super, isherm = False\n",
       "Qobj data =\n",
       "[[-0.250+0.j          0.000+0.j          0.000+0.j          0.000+0.j        ]\n",
       " [ 0.000+0.j         -0.125+3.14159265j  0.000+0.j          0.000+0.j        ]\n",
       " [ 0.000+0.j          0.000+0.j         -0.125-3.14159265j  0.000+0.j        ]\n",
       " [ 0.250+0.j          0.000+0.j          0.000+0.j          0.000+0.j        ]]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==================== Bloch-Redfield steadystate dm\n"
     ]
    },
    {
     "data": {
      "text/latex": [
       "Quantum object: dims = [[2], [2]], shape = (2, 2), type = oper, isherm = True\\begin{equation*}\\left(\\begin{array}{*{11}c}0.0 & 0.0\\\\0.0 & 1.0\\\\\\end{array}\\right)\\end{equation*}"
      ],
      "text/plain": [
       "Quantum object: dims = [[2], [2]], shape = (2, 2), type = oper, isherm = True\n",
       "Qobj data =\n",
       "[[ 0.  0.]\n",
       " [ 0.  1.]]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==================== Lindblad steadystate dm\n"
     ]
    },
    {
     "data": {
      "text/latex": [
       "Quantum object: dims = [[2], [2]], shape = (2, 2), type = oper, isherm = True\\begin{equation*}\\left(\\begin{array}{*{11}c}0.0 & 0.0\\\\0.0 & 1.0\\\\\\end{array}\\right)\\end{equation*}"
      ],
      "text/plain": [
       "Quantum object: dims = [[2], [2]], shape = (2, 2), type = oper, isherm = True\n",
       "Qobj data =\n",
       "[[ 0.  0.]\n",
       " [ 0.  1.]]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==================== Steadystate expectation values\n",
      "R_ob:  [0.0, 0.0, -1.0]\n",
      "R_eb:  [0.0, 0.0, -1.0]\n",
      "L   :  [0.0, 0.0, -1.0]\n",
      "==================== Dynamics final states\n",
      "R:  [0.0015427968283087687, 2.506068854864511e-07, -0.999994037354897]\n",
      "L:  [0.001542796828343541, 2.5060686974779289e-07, -0.99999403735489634]\n"
     ]
    }
   ],
   "source": [
    "solve(H, psi0, c_ops, a_ops, e_ops)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Harmonic oscillator"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "N = 10\n",
    "\n",
    "w0 = 1.0 * 2 * np.pi\n",
    "g = 0.05 * w0\n",
    "kappa = 0.15\n",
    "\n",
    "times = np.linspace(0, 50, 1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "a = destroy(N)\n",
    "H = w0 * a.dag() * a + g * (a + a.dag())\n",
    "psi0 = ket2dm((basis(N, 4) + basis(N, 2) + basis(N,0)).unit())\n",
    "a_ops = [[a + a.dag(),lambda w : kappa * (w >= 0)]]\n",
    "e_ops = [a.dag() * a, a + a.dag()]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Zero temperature"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "c_ops = [np.sqrt(kappa) * a]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAe8AAAENCAYAAAAmBe1EAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110cdacf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==================== Bloch-Redfield tensor: \n"
     ]
    },
    {
     "data": {
      "text/latex": [
       "Quantum object: dims = [[[10], [10]], [[10], [10]]], shape = (100, 100), type = super, isherm = False\\begin{equation*}\\left(\\begin{array}{*{11}c}0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 1.926\\times10^{-25}\\\\0.0 & (-0.075-6.283j) & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & (-0.150-12.566j) & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & (-0.225-18.850j) & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & (-0.300-25.133j) & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\\\vdots & \\vdots & \\vdots & \\vdots & \\vdots & \\ddots & \\vdots & \\vdots & \\vdots & \\vdots & \\vdots\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & (-1.090+25.288j) & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & (-1.165+19.005j) & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & (-1.240+12.722j) & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & (-1.312+6.437j) & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & -1.286\\\\\\end{array}\\right)\\end{equation*}"
      ],
      "text/plain": [
       "Quantum object: dims = [[[10], [10]], [[10], [10]]], shape = (100, 100), type = super, isherm = False\n",
       "Qobj data =\n",
       "[[  0.00000000e+00 +0.j           0.00000000e+00 +0.j           0.00000000e+00 +0.j\n",
       "  ...,   0.00000000e+00 +0.j           0.00000000e+00 +0.j\n",
       "    1.92616723e-25 +0.j        ]\n",
       " [  0.00000000e+00 +0.j          -7.50000000e-02 -6.28318531j\n",
       "    0.00000000e+00 +0.j         ...,   0.00000000e+00 +0.j\n",
       "    0.00000000e+00 +0.j           0.00000000e+00 +0.j        ]\n",
       " [  0.00000000e+00 +0.j           0.00000000e+00 +0.j\n",
       "   -1.50000000e-01-12.56637061j ...,   0.00000000e+00 +0.j\n",
       "    0.00000000e+00 +0.j           0.00000000e+00 +0.j        ]\n",
       " ..., \n",
       " [  0.00000000e+00 +0.j           0.00000000e+00 +0.j           0.00000000e+00 +0.j\n",
       "  ...,  -1.23986225e+00+12.72172562j   0.00000000e+00 +0.j\n",
       "    0.00000000e+00 +0.j        ]\n",
       " [  0.00000000e+00 +0.j           0.00000000e+00 +0.j           0.00000000e+00 +0.j\n",
       "  ...,   0.00000000e+00 +0.j          -1.31151418e+00 +6.43683307j\n",
       "    0.00000000e+00 +0.j        ]\n",
       " [  0.00000000e+00 +0.j           0.00000000e+00 +0.j           0.00000000e+00 +0.j\n",
       "  ...,   0.00000000e+00 +0.j           0.00000000e+00 +0.j\n",
       "   -1.28616458e+00 +0.j        ]]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==================== Lindblad liouvilllian: \n"
     ]
    },
    {
     "data": {
      "text/latex": [
       "Quantum object: dims = [[[10], [10]], [[10], [10]]], shape = (100, 100), type = super, isherm = False\\begin{equation*}\\left(\\begin{array}{*{11}c}0.0 & -0.314j & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\-0.314j & (-0.075-6.283j) & -0.444j & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & -0.444j & (-0.150-12.566j) & -0.544j & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & -0.544j & (-0.225-18.850j) & -0.628j & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & -0.628j & (-0.300-25.133j) & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\\\vdots & \\vdots & \\vdots & \\vdots & \\vdots & \\ddots & \\vdots & \\vdots & \\vdots & \\vdots & \\vdots\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & (-1.050+25.133j) & -0.770j & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & -0.770j & (-1.125+18.850j) & -0.831j & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & -0.831j & (-1.200+12.566j) & -0.889j & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & -0.889j & (-1.275+6.283j) & -0.942j\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & -0.942j & -1.350\\\\\\end{array}\\right)\\end{equation*}"
      ],
      "text/plain": [
       "Quantum object: dims = [[[10], [10]], [[10], [10]]], shape = (100, 100), type = super, isherm = False\n",
       "Qobj data =\n",
       "[[ 0.000 +0.j          0.000 -0.31415927j  0.000 +0.j         ...,\n",
       "   0.000 +0.j          0.000 +0.j          0.000 +0.j        ]\n",
       " [ 0.000 -0.31415927j -0.075 -6.28318531j  0.000 -0.44428829j ...,\n",
       "   0.000 +0.j          0.000 +0.j          0.000 +0.j        ]\n",
       " [ 0.000 +0.j          0.000 -0.44428829j -0.150-12.56637061j ...,\n",
       "   0.000 +0.j          0.000 +0.j          0.000 +0.j        ]\n",
       " ..., \n",
       " [ 0.000 +0.j          0.000 +0.j          0.000 +0.j         ...,\n",
       "  -1.200+12.56637061j  0.000 -0.88857659j  0.000 +0.j        ]\n",
       " [ 0.000 +0.j          0.000 +0.j          0.000 +0.j         ...,\n",
       "   0.000 -0.88857659j -1.275 +6.28318531j  0.000 -0.9424778j ]\n",
       " [ 0.000 +0.j          0.000 +0.j          0.000 +0.j         ...,\n",
       "   0.000 +0.j          0.000 -0.9424778j  -1.350 +0.j        ]]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==================== Bloch-Redfield steadystate dm\n"
     ]
    },
    {
     "data": {
      "text/latex": [
       "Quantum object: dims = [[10], [10]], shape = (10, 10), type = oper, isherm = True\\begin{equation*}\\left(\\begin{array}{*{11}c}0.998 & -0.050 & 0.002 & -5.090\\times10^{-05} & 1.273\\times10^{-06} & -2.846\\times10^{-08} & 5.809\\times10^{-10} & -1.098\\times10^{-11} & 0.0 & 0.0\\\\-0.050 & 0.002 & -8.817\\times10^{-05} & 2.545\\times10^{-06} & -6.363\\times10^{-08} & 1.423\\times10^{-09} & -2.904\\times10^{-11} & 0.0 & 0.0 & 0.0\\\\0.002 & -8.817\\times10^{-05} & 3.117\\times10^{-06} & -8.999\\times10^{-08} & 2.250\\times10^{-09} & -5.030\\times10^{-11} & 1.027\\times10^{-12} & 0.0 & 0.0 & 0.0\\\\-5.090\\times10^{-05} & 2.545\\times10^{-06} & -8.999\\times10^{-08} & 2.598\\times10^{-09} & -6.494\\times10^{-11} & 1.452\\times10^{-12} & 0.0 & 0.0 & 0.0 & 0.0\\\\1.273\\times10^{-06} & -6.363\\times10^{-08} & 2.250\\times10^{-09} & -6.494\\times10^{-11} & 1.624\\times10^{-12} & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\-2.846\\times10^{-08} & 1.423\\times10^{-09} & -5.030\\times10^{-11} & 1.452\\times10^{-12} & 0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\5.809\\times10^{-10} & -2.904\\times10^{-11} & 1.027\\times10^{-12} & 0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\-1.098\\times10^{-11} & 0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\\\end{array}\\right)\\end{equation*}"
      ],
      "text/plain": [
       "Quantum object: dims = [[10], [10]], shape = (10, 10), type = oper, isherm = True\n",
       "Qobj data =\n",
       "[[  9.97503122e-01  -4.98751561e-02   1.76335306e-03  -5.09036181e-05\n",
       "    1.27259045e-06  -2.84559877e-08   5.80853629e-10  -1.09769055e-11\n",
       "    0.00000000e+00   0.00000000e+00]\n",
       " [ -4.98751561e-02   2.49375781e-03  -8.81676528e-05   2.54518090e-06\n",
       "   -6.36295226e-08   1.42279939e-09  -2.90426815e-11   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00]\n",
       " [  1.76335306e-03  -8.81676528e-05   3.11719726e-06  -8.99857338e-08\n",
       "    2.24964334e-09  -5.03035547e-11   1.02681385e-12   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00]\n",
       " [ -5.09036181e-05   2.54518090e-06  -8.99857338e-08   2.59766438e-09\n",
       "   -6.49416095e-11   1.45213854e-12   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00]\n",
       " [  1.27259045e-06  -6.36295226e-08   2.24964334e-09  -6.49416095e-11\n",
       "    1.62354024e-12   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00]\n",
       " [ -2.84559877e-08   1.42279939e-09  -5.03035547e-11   1.45213854e-12\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00]\n",
       " [  5.80853629e-10  -2.90426815e-11   1.02681385e-12   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00]\n",
       " [ -1.09769055e-11   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00]\n",
       " [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00]\n",
       " [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00]]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==================== Lindblad steadystate dm\n"
     ]
    },
    {
     "data": {
      "text/latex": [
       "Quantum object: dims = [[10], [10]], shape = (10, 10), type = oper, isherm = True\\begin{equation*}\\left(\\begin{array}{*{11}c}0.998 & (-0.050+5.953\\times10^{-04}j) & (0.002-4.208\\times10^{-05}j) & (-5.086\\times10^{-05}+1.822\\times10^{-06}j) & (1.271\\times10^{-06}-6.072\\times10^{-08}j) & (-2.840\\times10^{-08}+1.697\\times10^{-09}j) & (5.791\\times10^{-10}-4.155\\times10^{-11}j) & -1.093\\times10^{-11} & 1.931\\times10^{-13} & -3.213\\times10^{-15}\\\\(-0.050-5.953\\times10^{-04}j) & 0.002 & (-8.814\\times10^{-05}+1.052\\times10^{-06}j) & (2.544\\times10^{-06}-6.074\\times10^{-08}j) & (-6.357\\times10^{-08}+2.277\\times10^{-09}j) & (1.421\\times10^{-09}-6.788\\times10^{-11}j) & (-2.898\\times10^{-11}+1.731\\times10^{-12}j) & 5.471\\times10^{-13} & -9.662\\times10^{-15} & 1.608\\times10^{-16}\\\\(0.002+4.208\\times10^{-05}j) & (-8.814\\times10^{-05}-1.052\\times10^{-06}j) & 3.116\\times10^{-06} & (-8.995\\times10^{-08}+1.074\\times10^{-09}j) & (2.248\\times10^{-09}-5.368\\times10^{-11}j) & (-5.025\\times10^{-11}+1.800\\times10^{-12}j) & 1.025\\times10^{-12} & -1.936\\times10^{-14} & 3.419\\times10^{-16} & -5.691\\times10^{-18}\\\\(-5.086\\times10^{-05}-1.822\\times10^{-06}j) & (2.544\\times10^{-06}+6.074\\times10^{-08}j) & (-8.995\\times10^{-08}-1.074\\times10^{-09}j) & 2.597\\times10^{-09} & -6.490\\times10^{-11} & 1.451\\times10^{-12} & -2.960\\times10^{-14} & 5.591\\times10^{-16} & -9.877\\times10^{-18} & 1.644\\times10^{-19}\\\\(1.271\\times10^{-06}+6.072\\times10^{-08}j) & (-6.357\\times10^{-08}-2.277\\times10^{-09}j) & (2.248\\times10^{-09}+5.368\\times10^{-11}j) & -6.490\\times10^{-11} & 1.623\\times10^{-12} & -3.628\\times10^{-14} & 7.403\\times10^{-16} & -1.398\\times10^{-17} & 2.471\\times10^{-19} & -4.114\\times10^{-21}\\\\(-2.840\\times10^{-08}-1.697\\times10^{-09}j) & (1.421\\times10^{-09}+6.788\\times10^{-11}j) & (-5.025\\times10^{-11}-1.800\\times10^{-12}j) & 1.451\\times10^{-12} & -3.628\\times10^{-14} & 8.112\\times10^{-16} & -1.655\\times10^{-17} & 3.127\\times10^{-19} & -5.524\\times10^{-21} & 9.192\\times10^{-23}\\\\(5.791\\times10^{-10}+4.155\\times10^{-11}j) & (-2.898\\times10^{-11}-1.731\\times10^{-12}j) & 1.025\\times10^{-12} & -2.960\\times10^{-14} & 7.403\\times10^{-16} & -1.655\\times10^{-17} & 3.378\\times10^{-19} & -6.370\\times10^{-21} & 1.120\\times10^{-22} & -1.841\\times10^{-24}\\\\-1.093\\times10^{-11} & 5.471\\times10^{-13} & -1.936\\times10^{-14} & 5.591\\times10^{-16} & -1.398\\times10^{-17} & 3.127\\times10^{-19} & -6.370\\times10^{-21} & 1.188\\times10^{-22} & -1.992\\times10^{-24} & 2.766\\times10^{-26}\\\\1.931\\times10^{-13} & -9.662\\times10^{-15} & 3.419\\times10^{-16} & -9.877\\times10^{-18} & 2.471\\times10^{-19} & -5.524\\times10^{-21} & 1.120\\times10^{-22} & -1.992\\times10^{-24} & 2.369\\times10^{-26} & 3.484\\times10^{-28}\\\\-3.213\\times10^{-15} & 1.608\\times10^{-16} & -5.691\\times10^{-18} & 1.644\\times10^{-19} & -4.114\\times10^{-21} & 9.192\\times10^{-23} & -1.841\\times10^{-24} & 2.766\\times10^{-26} & 3.484\\times10^{-28} & -8.010\\times10^{-29}\\\\\\end{array}\\right)\\end{equation*}"
      ],
      "text/plain": [
       "Quantum object: dims = [[10], [10]], shape = (10, 10), type = oper, isherm = True\n",
       "Qobj data =\n",
       "[[  9.97503478e-01 +0.00000000e+00j  -4.98680685e-02 +5.95256221e-04j\n",
       "    1.76260012e-03 -4.20849746e-05j  -5.08601343e-05 +1.82198671e-06j\n",
       "    1.27077858e-06 -6.07184696e-08j  -2.83952207e-08 +1.69664924e-09j\n",
       "    5.79119104e-10 -4.15454326e-11j  -1.09333927e-11 +9.15642639e-13j\n",
       "    1.93056167e-13 -1.84908648e-14j  -3.21257403e-15 +3.46442788e-16j]\n",
       " [ -4.98680685e-02 -5.95256221e-04j   2.49340343e-03 +0.00000000e+00j\n",
       "   -8.81425648e-05 +1.05212437e-06j   2.54373169e-06 -6.07357748e-08j\n",
       "   -6.35661108e-08 +2.27715893e-09j   1.42057124e-09 -6.78756417e-11j\n",
       "   -2.89766221e-11 +1.73138868e-12j   5.47138159e-13 -3.92511512e-14j\n",
       "   -9.66246754e-15 +8.09206030e-16j   1.60812556e-16 -1.54025809e-17j]\n",
       " [  1.76260012e-03 +4.20849746e-05j  -8.81425648e-05 -1.05212437e-06j\n",
       "    3.11631026e-06 +0.00000000e+00j  -8.99473125e-08 +1.07366696e-09j\n",
       "    2.24804211e-09 -5.36757000e-11j  -5.02462638e-11 +1.79999574e-12j\n",
       "    1.02506293e-12 -4.89780467e-14j  -1.93580619e-14 +1.15666793e-15j\n",
       "    3.41912604e-16 -2.45284728e-17j  -5.69127181e-18 +4.76628925e-19j]\n",
       " [ -5.08601343e-05 -1.82198671e-06j   2.54373169e-06 +6.07357748e-08j\n",
       "   -8.99473125e-08 -1.07366696e-09j   2.59655517e-09 +0.00000000e+00j\n",
       "   -6.49046278e-11 +7.74741527e-13j   1.45089791e-12 -3.46425398e-14j\n",
       "   -2.96036648e-14 +1.06050451e-15j   5.59137614e-16 -2.67158291e-17j\n",
       "   -9.87720035e-18 +5.90172958e-19j   1.64433401e-19 -1.17962398e-20j]\n",
       " [  1.27077858e-06 +6.07184696e-08j  -6.35661108e-08 -2.27715893e-09j\n",
       "    2.24804211e-09 +5.36757000e-11j  -6.49046278e-11 -7.74741527e-13j\n",
       "    1.62261480e-12 +0.00000000e+00j  -3.62775547e-14 +4.33031052e-16j\n",
       "    7.40299332e-16 -1.76757755e-17j  -1.39842885e-17 +5.00960288e-19j\n",
       "    2.47066572e-19 -1.18047401e-20j  -4.11364573e-21 +2.45787665e-22j]\n",
       " [ -2.83952207e-08 -1.69664924e-09j   1.42057124e-09 +6.78756417e-11j\n",
       "   -5.02462638e-11 -1.79999574e-12j   1.45089791e-12 +3.46425398e-14j\n",
       "   -3.62775547e-14 -4.33031052e-16j   8.11177618e-16 +0.00000000e+00j\n",
       "   -1.65547224e-17 +1.97509629e-19j   3.12713175e-19 -7.45602586e-21j\n",
       "   -5.52363764e-21 +1.97260939e-22j   9.19177499e-23 -4.36560125e-24j]\n",
       " [  5.79119104e-10 +4.15454326e-11j  -2.89766221e-11 -1.73138868e-12j\n",
       "    1.02506293e-12 +4.89780467e-14j  -2.96036648e-14 -1.06050451e-15j\n",
       "    7.40299332e-16 +1.76757755e-17j  -1.65547224e-17 -1.97509629e-19j\n",
       "    3.37754589e-19 +0.00000000e+00j  -6.37014963e-21 +7.50583351e-23j\n",
       "    1.11975592e-22 -2.58487182e-24j  -1.84139730e-24 +6.09271373e-26j]\n",
       " [ -1.09333927e-11 -9.15642639e-13j   5.47138159e-13 +3.92511512e-14j\n",
       "   -1.93580619e-14 -1.15666793e-15j   5.59137614e-16 +2.67158291e-17j\n",
       "   -1.39842885e-17 -5.00960288e-19j   3.12713175e-19 +7.45602586e-21j\n",
       "   -6.37014963e-21 -7.50583351e-23j   1.18833398e-22 +0.00000000e+00j\n",
       "   -1.99215302e-24 +1.59960502e-26j   2.76568124e-26 +1.85158933e-28j]\n",
       " [  1.93056167e-13 +1.84908648e-14j  -9.66246754e-15 -8.09206030e-16j\n",
       "    3.41912604e-16 +2.45284728e-17j  -9.87720035e-18 -5.90172958e-19j\n",
       "    2.47066572e-19 +1.18047401e-20j  -5.52363764e-21 -1.97260939e-22j\n",
       "    1.11975592e-22 +2.58487182e-24j  -1.99215302e-24 -1.59960502e-26j\n",
       "    2.36895262e-26 +0.00000000e+00j   3.48404384e-28 -5.73702069e-29j]\n",
       " [ -3.21257403e-15 -3.46442788e-16j   1.60812556e-16 +1.54025809e-17j\n",
       "   -5.69127181e-18 -4.76628925e-19j   1.64433401e-19 +1.17962398e-20j\n",
       "   -4.11364573e-21 -2.45787665e-22j   9.19177499e-23 +4.36560125e-24j\n",
       "   -1.84139730e-24 -6.09271373e-26j   2.76568124e-26 -1.85158933e-28j\n",
       "    3.48404384e-28 +5.73702069e-29j  -8.01039202e-29 +0.00000000e+00j]]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==================== Steadystate expectation values\n",
      "R_ob:  [0.0024999999999958857, -0.09999999999983651]\n",
      "R_eb:  [0.0024999999999999467, -0.09999999999999895]\n",
      "L   :  [0.0024996438434595246, -0.09998575373839921]\n",
      "==================== Dynamics final states\n",
      "R:  [0.0034899627568894909, -0.097648226112852135]\n",
      "L:  [0.0034896231351718215, -0.097634314487055257]\n"
     ]
    }
   ],
   "source": [
    "solve(H, psi0, c_ops, a_ops, e_ops)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Finite temperature"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_th = 1.5\n",
    "c_ops = [np.sqrt(kappa * (n_th + 1)) * a, np.sqrt(kappa * n_th) * a.dag()]\n",
    "w_th = w0/np.log(1 + 1/n_th)\n",
    "\n",
    "def S_w_func(w):\n",
    "    if w >= 0:\n",
    "        return (n_th + 1) * kappa\n",
    "    else:\n",
    "        return (n_th + 1) * kappa * np.exp(w / w_th)\n",
    "    \n",
    "a_ops = [[a + a.dag(), S_w_func]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAe8AAAENCAYAAAAmBe1EAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nADNr0gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x107cc5860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==================== Bloch-Redfield tensor: \n"
     ]
    },
    {
     "data": {
      "text/latex": [
       "Quantum object: dims = [[[10], [10]], [[10], [10]]], shape = (100, 100), type = super, isherm = False\\begin{equation*}\\left(\\begin{array}{*{11}c}-0.225 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 4.815\\times10^{-25}\\\\0.0 & (-0.525-6.283j) & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & (-0.825-12.566j) & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & (-1.125-18.850j) & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & (-1.425-25.133j) & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\\\vdots & \\vdots & \\vdots & \\vdots & \\vdots & \\ddots & \\vdots & \\vdots & \\vdots & \\vdots & \\vdots\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & (-3.400+25.288j) & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & (-3.700+19.005j) & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & (-3.999+12.722j) & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & (-4.231+6.437j) & 0.0\\\\4.792\\times10^{-27} & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & -3.215\\\\\\end{array}\\right)\\end{equation*}"
      ],
      "text/plain": [
       "Quantum object: dims = [[[10], [10]], [[10], [10]]], shape = (100, 100), type = super, isherm = False\n",
       "Qobj data =\n",
       "[[ -2.25000000e-01 +0.j           0.00000000e+00 +0.j           0.00000000e+00 +0.j\n",
       "  ...,   0.00000000e+00 +0.j           0.00000000e+00 +0.j\n",
       "    4.81541807e-25 +0.j        ]\n",
       " [  0.00000000e+00 +0.j          -5.25000000e-01 -6.28318531j\n",
       "    0.00000000e+00 +0.j         ...,   0.00000000e+00 +0.j\n",
       "    0.00000000e+00 +0.j           0.00000000e+00 +0.j        ]\n",
       " [  0.00000000e+00 +0.j           0.00000000e+00 +0.j\n",
       "   -8.25000000e-01-12.56637061j ...,   0.00000000e+00 +0.j\n",
       "    0.00000000e+00 +0.j           0.00000000e+00 +0.j        ]\n",
       " ..., \n",
       " [  0.00000000e+00 +0.j           0.00000000e+00 +0.j           0.00000000e+00 +0.j\n",
       "  ...,  -3.99916053e+00+12.72172562j   0.00000000e+00 +0.j\n",
       "    0.00000000e+00 +0.j        ]\n",
       " [  0.00000000e+00 +0.j           0.00000000e+00 +0.j           0.00000000e+00 +0.j\n",
       "  ...,   0.00000000e+00 +0.j          -4.23143288e+00 +6.43683307j\n",
       "    0.00000000e+00 +0.j        ]\n",
       " [  4.79192180e-27 +0.j           0.00000000e+00 +0.j           0.00000000e+00 +0.j\n",
       "  ...,   0.00000000e+00 +0.j           0.00000000e+00 +0.j\n",
       "   -3.21541145e+00 +0.j        ]]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==================== Lindblad liouvilllian: \n"
     ]
    },
    {
     "data": {
      "text/latex": [
       "Quantum object: dims = [[[10], [10]], [[10], [10]]], shape = (100, 100), type = super, isherm = False\\begin{equation*}\\left(\\begin{array}{*{11}c}-0.225 & -0.314j & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\-0.314j & (-0.525-6.283j) & -0.444j & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & -0.444j & (-0.825-12.566j) & -0.544j & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & -0.544j & (-1.125-18.850j) & -0.628j & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & -0.628j & (-1.425-25.133j) & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\\\vdots & \\vdots & \\vdots & \\vdots & \\vdots & \\ddots & \\vdots & \\vdots & \\vdots & \\vdots & \\vdots\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & (-3.300+25.133j) & -0.770j & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & -0.770j & (-3.600+18.850j) & -0.831j & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & -0.831j & (-3.900+12.566j) & -0.889j & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & -0.889j & (-4.200+6.283j) & -0.942j\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & -0.942j & -3.375\\\\\\end{array}\\right)\\end{equation*}"
      ],
      "text/plain": [
       "Quantum object: dims = [[[10], [10]], [[10], [10]]], shape = (100, 100), type = super, isherm = False\n",
       "Qobj data =\n",
       "[[-0.225 +0.j          0.000 -0.31415927j  0.000 +0.j         ...,\n",
       "   0.000 +0.j          0.000 +0.j          0.000 +0.j        ]\n",
       " [ 0.000 -0.31415927j -0.525 -6.28318531j  0.000 -0.44428829j ...,\n",
       "   0.000 +0.j          0.000 +0.j          0.000 +0.j        ]\n",
       " [ 0.000 +0.j          0.000 -0.44428829j -0.825-12.56637061j ...,\n",
       "   0.000 +0.j          0.000 +0.j          0.000 +0.j        ]\n",
       " ..., \n",
       " [ 0.000 +0.j          0.000 +0.j          0.000 +0.j         ...,\n",
       "  -3.900+12.56637061j  0.000 -0.88857659j  0.000 +0.j        ]\n",
       " [ 0.000 +0.j          0.000 +0.j          0.000 +0.j         ...,\n",
       "   0.000 -0.88857659j -4.200 +6.28318531j  0.000 -0.9424778j ]\n",
       " [ 0.000 +0.j          0.000 +0.j          0.000 +0.j         ...,\n",
       "   0.000 +0.j          0.000 -0.9424778j  -3.375 +0.j        ]]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==================== Bloch-Redfield steadystate dm\n"
     ]
    },
    {
     "data": {
      "text/latex": [
       "Quantum object: dims = [[10], [10]], shape = (10, 10), type = oper, isherm = True\\begin{equation*}\\left(\\begin{array}{*{11}c}0.402 & -0.008 & 1.137\\times10^{-04} & -1.313\\times10^{-06} & 1.313\\times10^{-08} & -1.174\\times10^{-10} & 0.0 & 0.0 & 0.0 & 0.0\\\\-0.008 & 0.241 & -0.007 & 1.182\\times10^{-04} & -1.576\\times10^{-06} & 1.762\\times10^{-08} & -1.726\\times10^{-10} & 1.521\\times10^{-12} & 0.0 & 0.0\\\\1.137\\times10^{-04} & -0.007 & 0.145 & -0.005 & 1.003\\times10^{-04} & -1.495\\times10^{-06} & 1.831\\times10^{-08} & -1.938\\times10^{-10} & 1.827\\times10^{-12} & 0.0\\\\-1.313\\times10^{-06} & 1.182\\times10^{-04} & -0.005 & 0.087 & -0.003 & 7.773\\times10^{-05} & -1.269\\times10^{-06} & 1.679\\times10^{-08} & -1.899\\times10^{-10} & 1.899\\times10^{-12}\\\\1.313\\times10^{-08} & -1.576\\times10^{-06} & 1.003\\times10^{-04} & -0.003 & 0.052 & -0.002 & 5.713\\times10^{-05} & -1.007\\times10^{-06} & 1.425\\times10^{-08} & -1.709\\times10^{-10}\\\\-1.174\\times10^{-10} & 1.762\\times10^{-08} & -1.495\\times10^{-06} & 7.773\\times10^{-05} & -0.002 & 0.031 & -0.002 & 4.057\\times10^{-05} & -7.647\\times10^{-07} & 1.147\\times10^{-08}\\\\0.0 & -1.726\\times10^{-10} & 1.831\\times10^{-08} & -1.269\\times10^{-06} & 5.713\\times10^{-05} & -0.002 & 0.019 & -9.946\\times10^{-04} & 2.811\\times10^{-05} & -5.619\\times10^{-07}\\\\0.0 & 1.521\\times10^{-12} & -1.938\\times10^{-10} & 1.679\\times10^{-08} & -1.007\\times10^{-06} & 4.057\\times10^{-05} & -9.946\\times10^{-04} & 0.011 & -6.382\\times10^{-04} & 1.912\\times10^{-05}\\\\0.0 & 0.0 & 1.827\\times10^{-12} & -1.899\\times10^{-10} & 1.425\\times10^{-08} & -7.647\\times10^{-07} & 2.811\\times10^{-05} & -6.382\\times10^{-04} & 0.007 & -4.059\\times10^{-04}\\\\0.0 & 0.0 & 0.0 & 1.899\\times10^{-12} & -1.709\\times10^{-10} & 1.147\\times10^{-08} & -5.619\\times10^{-07} & 1.912\\times10^{-05} & -4.059\\times10^{-04} & 0.004\\\\\\end{array}\\right)\\end{equation*}"
      ],
      "text/plain": [
       "Quantum object: dims = [[10], [10]], shape = (10, 10), type = oper, isherm = True\n",
       "Qobj data =\n",
       "[[  4.02051975e-01  -8.04103950e-03   1.13717471e-04  -1.31309625e-06\n",
       "    1.31309625e-08  -1.17446957e-10   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00]\n",
       " [ -8.04103950e-03   2.41392006e-01  -6.82532262e-03   1.18204925e-04\n",
       "   -1.57597812e-06   1.76193838e-08  -1.72630262e-10   1.52100275e-12\n",
       "    0.00000000e+00   0.00000000e+00]\n",
       " [  1.13717471e-04  -6.82532262e-03   1.44931728e-01  -5.01723899e-03\n",
       "    1.00322492e-04  -1.49535330e-06   1.83130421e-08  -1.93798310e-10\n",
       "    1.82687728e-12   0.00000000e+00]\n",
       " [ -1.31309625e-06   1.18204925e-04  -5.01723899e-03   8.70169709e-02\n",
       "   -3.47720356e-03   7.77267351e-05  -1.26906081e-06   1.67864181e-08\n",
       "   -1.89903973e-10   1.89889807e-12]\n",
       " [  1.31309625e-08  -1.57597812e-06   1.00322492e-04  -3.47720356e-03\n",
       "    5.22449546e-02  -2.33335633e-03   5.71299428e-05  -1.00745365e-06\n",
       "    1.42456470e-08  -1.70914413e-10]\n",
       " [ -1.17446957e-10   1.76193838e-08  -1.49535330e-06   7.77267351e-05\n",
       "   -2.33335633e-03   3.13678429e-02  -1.53414926e-03   4.05672469e-05\n",
       "   -7.64730963e-07   1.14673179e-08]\n",
       " [  0.00000000e+00  -1.72630262e-10   1.83130421e-08  -1.26906081e-06\n",
       "    5.71299428e-05  -1.53414926e-03   1.88332320e-02  -9.94573586e-04\n",
       "    2.81120554e-05  -5.61923266e-07]\n",
       " [  0.00000000e+00   1.52100275e-12  -1.93798310e-10   1.67864181e-08\n",
       "   -1.00745365e-06   4.05672469e-05  -9.94573586e-04   1.13074575e-02\n",
       "   -6.38158717e-04   1.91222361e-05]\n",
       " [  0.00000000e+00   0.00000000e+00   1.82687728e-12  -1.89903973e-10\n",
       "    1.42456470e-08  -7.64730963e-07   2.81120554e-05  -6.38158717e-04\n",
       "    6.78897970e-03  -4.05914647e-04]\n",
       " [  0.00000000e+00   0.00000000e+00   0.00000000e+00   1.89889807e-12\n",
       "   -1.70914413e-10   1.14673179e-08  -5.61923266e-07   1.91222361e-05\n",
       "   -4.05914647e-04   4.06485344e-03]]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==================== Lindblad steadystate dm\n"
     ]
    },
    {
     "data": {
      "text/latex": [
       "Quantum object: dims = [[10], [10]], shape = (10, 10), type = oper, isherm = True\\begin{equation*}\\left(\\begin{array}{*{11}c}0.402 & (-0.008+9.596\\times10^{-05}j) & (1.137\\times10^{-04}-2.714\\times10^{-06}j) & (-1.312\\times10^{-06}+4.705\\times10^{-08}j) & (1.312\\times10^{-08}-6.319\\times10^{-10}j) & (-1.178\\times10^{-10}+6.493\\times10^{-12}j) & 9.423\\times10^{-13} & -4.294\\times10^{-15} & -7.474\\times10^{-17} & 1.605\\times10^{-18}\\\\(-0.008-9.596\\times10^{-05}j) & 0.241 & (-0.007+8.146\\times10^{-05}j) & (1.181\\times10^{-04}-2.818\\times10^{-06}j) & (-1.574\\times10^{-06}+5.621\\times10^{-08}j) & (1.756\\times10^{-08}-8.970\\times10^{-10}j) & (-1.757\\times10^{-10}+1.454\\times10^{-11}j) & 1.853\\times10^{-12} & -2.153\\times10^{-14} & 4.078\\times10^{-17}\\\\(1.137\\times10^{-04}+2.714\\times10^{-06}j) & (-0.007-8.146\\times10^{-05}j) & 0.145 & (-0.005+5.991\\times10^{-05}j) & (1.003\\times10^{-04}-2.396\\times10^{-06}j) & (-1.495\\times10^{-06}+5.069\\times10^{-08}j) & (1.800\\times10^{-08}-7.440\\times10^{-10}j) & (-1.758\\times10^{-10}+2.574\\times10^{-11}j) & (1.790\\times10^{-12}-1.344\\times10^{-12}j) & -4.383\\times10^{-14}\\\\(-1.312\\times10^{-06}-4.705\\times10^{-08}j) & (1.181\\times10^{-04}+2.818\\times10^{-06}j) & (-0.005-5.991\\times10^{-05}j) & 0.087 & (-0.003+4.153\\times10^{-05}j) & (7.770\\times10^{-05}-1.924\\times10^{-06}j) & (-1.279\\times10^{-06}+4.505\\times10^{-08}j) & (1.710\\times10^{-08}+1.921\\times10^{-10}j) & (-1.533\\times10^{-10}-4.118\\times10^{-11}j) & -6.294\\times10^{-13}\\\\(1.312\\times10^{-08}+6.319\\times10^{-10}j) & (-1.574\\times10^{-06}-5.621\\times10^{-08}j) & (1.003\\times10^{-04}+2.396\\times10^{-06}j) & (-0.003-4.153\\times10^{-05}j) & 0.052 & (-0.002+2.718\\times10^{-05}j) & (5.688\\times10^{-05}-1.483\\times10^{-06}j) & (-1.015\\times10^{-06}+6.915\\times10^{-08}j) & (1.666\\times10^{-08}-1.361\\times10^{-09}j) & (-2.725\\times10^{-10}-3.558\\times10^{-11}j)\\\\(-1.178\\times10^{-10}-6.493\\times10^{-12}j) & (1.756\\times10^{-08}+8.970\\times10^{-10}j) & (-1.495\\times10^{-06}-5.069\\times10^{-08}j) & (7.770\\times10^{-05}+1.924\\times10^{-06}j) & (-0.002-2.718\\times10^{-05}j) & 0.031 & (-0.002+1.615\\times10^{-05}j) & (4.000\\times10^{-05}-4.783\\times10^{-07}j) & (-6.958\\times10^{-07}+6.183\\times10^{-08}j) & (1.025\\times10^{-08}-4.287\\times10^{-09}j)\\\\9.423\\times10^{-13} & (-1.757\\times10^{-10}-1.454\\times10^{-11}j) & (1.800\\times10^{-08}+7.440\\times10^{-10}j) & (-1.279\\times10^{-06}-4.505\\times10^{-08}j) & (5.688\\times10^{-05}+1.483\\times10^{-06}j) & (-0.002-1.615\\times10^{-05}j) & 0.019 & (-0.001+1.302\\times10^{-05}j) & (2.875\\times10^{-05}+9.020\\times10^{-07}j) & (-5.015\\times10^{-07}-5.299\\times10^{-08}j)\\\\-4.294\\times10^{-15} & 1.853\\times10^{-12} & (-1.758\\times10^{-10}-2.574\\times10^{-11}j) & (1.710\\times10^{-08}-1.921\\times10^{-10}j) & (-1.015\\times10^{-06}-6.915\\times10^{-08}j) & (4.000\\times10^{-05}+4.783\\times10^{-07}j) & (-0.001-1.302\\times10^{-05}j) & 0.011 & (-6.459\\times10^{-04}+2.824\\times10^{-05}j) & (2.157\\times10^{-05}-9.632\\times10^{-07}j)\\\\-7.474\\times10^{-17} & -2.153\\times10^{-14} & (1.790\\times10^{-12}+1.344\\times10^{-12}j) & (-1.533\\times10^{-10}+4.118\\times10^{-11}j) & (1.666\\times10^{-08}+1.361\\times10^{-09}j) & (-6.958\\times10^{-07}-6.183\\times10^{-08}j) & (2.875\\times10^{-05}-9.020\\times10^{-07}j) & (-6.459\\times10^{-04}-2.824\\times10^{-05}j) & 0.007 & (-3.735\\times10^{-04}+5.327\\times10^{-05}j)\\\\1.605\\times10^{-18} & 4.078\\times10^{-17} & -4.383\\times10^{-14} & -6.294\\times10^{-13} & (-2.725\\times10^{-10}+3.558\\times10^{-11}j) & (1.025\\times10^{-08}+4.287\\times10^{-09}j) & (-5.015\\times10^{-07}+5.299\\times10^{-08}j) & (2.157\\times10^{-05}+9.632\\times10^{-07}j) & (-3.735\\times10^{-04}-5.327\\times10^{-05}j) & 0.004\\\\\\end{array}\\right)\\end{equation*}"
      ],
      "text/plain": [
       "Quantum object: dims = [[10], [10]], shape = (10, 10), type = oper, isherm = True\n",
       "Qobj data =\n",
       "[[  4.02029887e-01 +0.00000000e+00j  -8.03945243e-03 +9.59634656e-05j\n",
       "    1.13662383e-04 -2.71378066e-06j  -1.31187151e-06 +4.70539718e-08j\n",
       "    1.31186656e-08 -6.31877686e-10j  -1.17849817e-10 +6.49255768e-12j\n",
       "    9.42303550e-13 -1.32186907e-14j  -4.29432831e-15 -4.68339168e-16j\n",
       "   -7.47398192e-17 -6.56792895e-17j   1.60514096e-18 +4.17525690e-18j]\n",
       " [ -8.03945243e-03 -9.59634656e-05j   2.41378721e-01 +0.00000000e+00j\n",
       "   -6.82398017e-03 +8.14565544e-05j   1.18148666e-04 -2.81847808e-06j\n",
       "   -1.57404145e-06 +5.62120774e-08j   1.75584150e-08 -8.97039669e-10j\n",
       "   -1.75710537e-10 +1.45389688e-11j   1.85263873e-12 -5.98104959e-14j\n",
       "   -2.15323378e-14 -1.25913674e-14j   4.07834561e-17 +5.63705154e-16j]\n",
       " [  1.13662383e-04 +2.71378066e-06j  -6.82398017e-03 -8.14565544e-05j\n",
       "    1.44923740e-01 +0.00000000e+00j  -5.01624370e-03 +5.99144006e-05j\n",
       "    1.00289712e-04 -2.39557300e-06j  -1.49454743e-06 +5.06886177e-08j\n",
       "    1.80035173e-08 -7.43994717e-10j  -1.75763041e-10 +2.57404719e-11j\n",
       "    1.78986724e-12 -1.34352058e-12j  -4.38282283e-14 +3.73690023e-14j]\n",
       " [ -1.31187151e-06 -4.70539718e-08j   1.18148666e-04 +2.81847808e-06j\n",
       "   -5.01624370e-03 -5.99144006e-05j   8.70122026e-02 +0.00000000e+00j\n",
       "   -3.47632946e-03 +4.15329568e-05j   7.77005727e-05 -1.92435419e-06j\n",
       "   -1.27927661e-06 +4.50460076e-08j   1.70996659e-08 +1.92072770e-10j\n",
       "   -1.53284071e-10 -4.11750376e-11j  -6.29395969e-13 +5.37458752e-13j]\n",
       " [  1.31186656e-08 +6.31877686e-10j  -1.57404145e-06 -5.62120774e-08j\n",
       "    1.00289712e-04 +2.39557300e-06j  -3.47632946e-03 -4.15329568e-05j\n",
       "    5.22421161e-02 +0.00000000e+00j  -2.33253493e-03 +2.71824960e-05j\n",
       "    5.68778149e-05 -1.48316736e-06j  -1.01520384e-06 +6.91540319e-08j\n",
       "    1.66646190e-08 -1.36108159e-09j  -2.72461403e-10 -3.55824924e-11j]\n",
       " [ -1.17849817e-10 -6.49255768e-12j   1.75584150e-08 +8.97039669e-10j\n",
       "   -1.49454743e-06 -5.06886177e-08j   7.77005727e-05 +1.92435419e-06j\n",
       "   -2.33253493e-03 -2.71824960e-05j   3.13656379e-02 +0.00000000e+00j\n",
       "   -1.53548065e-03 +1.61535002e-05j   4.00018350e-05 -4.78275238e-07j\n",
       "   -6.95751563e-07 +6.18312661e-08j   1.02464804e-08 -4.28685263e-09j]\n",
       " [  9.42303550e-13 +1.32186907e-14j  -1.75710537e-10 -1.45389688e-11j\n",
       "    1.80035173e-08 +7.43994717e-10j  -1.27927661e-06 -4.50460076e-08j\n",
       "    5.68778149e-05 +1.48316736e-06j  -1.53548065e-03 -1.61535002e-05j\n",
       "    1.88304321e-02 +0.00000000e+00j  -1.00230107e-03 +1.30201232e-05j\n",
       "    2.87517843e-05 +9.01978510e-07j  -5.01506947e-07 -5.29934643e-08j]\n",
       " [ -4.29432831e-15 +4.68339168e-16j   1.85263873e-12 +5.98104959e-14j\n",
       "   -1.75763041e-10 -2.57404719e-11j   1.70996659e-08 -1.92072770e-10j\n",
       "   -1.01520384e-06 -6.91540319e-08j   4.00018350e-05 +4.78275238e-07j\n",
       "   -1.00230107e-03 -1.30201232e-05j   1.13065047e-02 +0.00000000e+00j\n",
       "   -6.45891261e-04 +2.82365071e-05j   2.15713823e-05 -9.63170631e-07j]\n",
       " [ -7.47398192e-17 +6.56792895e-17j  -2.15323378e-14 +1.25913674e-14j\n",
       "    1.78986724e-12 +1.34352058e-12j  -1.53284071e-10 +4.11750376e-11j\n",
       "    1.66646190e-08 +1.36108159e-09j  -6.95751563e-07 -6.18312661e-08j\n",
       "    2.87517843e-05 -9.01978510e-07j  -6.45891261e-04 -2.82365071e-05j\n",
       "    6.80062971e-03 +0.00000000e+00j  -3.73496392e-04 +5.32693105e-05j]\n",
       " [  1.60514096e-18 -4.17525690e-18j   4.07834561e-17 -5.63705154e-16j\n",
       "   -4.38282283e-14 -3.73690023e-14j  -6.29395969e-13 -5.37458752e-13j\n",
       "   -2.72461403e-10 +3.55824924e-11j   1.02464804e-08 +4.28685263e-09j\n",
       "   -5.01506947e-07 +5.29934643e-08j   2.15713823e-05 +9.63170631e-07j\n",
       "   -3.73496392e-04 -5.32693105e-05j   4.11012902e-03 +0.00000000e+00j]]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==================== Steadystate expectation values\n",
      "R_ob:  [1.441172521173384, -0.09593514655834637]\n",
      "R_eb:  [1.4411725211733848, -0.0959351465583464]\n",
      "L   :  [1.4415837865925414, -0.09581420257265144]\n",
      "==================== Dynamics final states\n",
      "R:  [1.4412697964611352, -0.094946706436505962]\n",
      "L:  [1.4416807381001973, -0.094807209086397559]\n"
     ]
    }
   ],
   "source": [
    "solve(H, psi0, c_ops, a_ops, e_ops)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Atom-Cavity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "N = 10\n",
    "a = tensor(destroy(N), identity(2))\n",
    "sm = tensor(identity(N), destroy(2))\n",
    "psi0 = ket2dm(tensor(basis(N, 1), basis(2, 0)))\n",
    "a_ops = [[a + a.dag(),lambda w : kappa*(w > 0)]]\n",
    "e_ops = [a.dag() * a, sm.dag() * sm]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Weak coupling"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "w0 = 1.0 * 2 * np.pi\n",
    "g = 0.05 * 2 * np.pi\n",
    "kappa = 0.05\n",
    "times = np.linspace(0, 150 * 2 * np.pi / g, 1000)\n",
    "c_ops = [np.sqrt(kappa) * a]\n",
    "H = w0 * a.dag() * a + w0 * sm.dag() * sm + g * (a + a.dag()) * (sm + sm.dag())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAe0AAAENCAYAAAAi8D15AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1140bbef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==================== Bloch-Redfield tensor: \n"
     ]
    },
    {
     "data": {
      "text/latex": [
       "Quantum object: dims = [[[10, 2], [10, 2]], [[10, 2], [10, 2]]], shape = (400, 400), type = super, isherm = False\\begin{equation*}\\left(\\begin{array}{*{11}c}0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & (-0.013-5.969j) & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & (-0.012-6.597j) & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & (-0.039-12.122j) & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & (-0.036-13.010j) & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\\\vdots & \\vdots & \\vdots & \\vdots & \\vdots & \\ddots & \\vdots & \\vdots & \\vdots & \\vdots & \\vdots\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & (-0.419+13.531j) & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & (-0.413+11.758j) & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & (-0.441+7.263j) & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & (-0.436+5.382j) & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & -0.457\\\\\\end{array}\\right)\\end{equation*}"
      ],
      "text/plain": [
       "Quantum object: dims = [[[10, 2], [10, 2]], [[10, 2], [10, 2]]], shape = (400, 400), type = super, isherm = False\n",
       "Qobj data =\n",
       "[[ 0.00000000+0.j          0.00000000+0.j          0.00000000+0.j         ...,\n",
       "   0.00000000+0.j          0.00000000+0.j          0.00000000+0.j        ]\n",
       " [ 0.00000000+0.j         -0.01348632-5.96911979j  0.00000000+0.j         ...,\n",
       "   0.00000000+0.j          0.00000000+0.j          0.00000000+0.j        ]\n",
       " [ 0.00000000+0.j          0.00000000+0.j         -0.01160761-6.59724095j\n",
       "  ...,  0.00000000+0.j          0.00000000+0.j          0.00000000+0.j        ]\n",
       " ..., \n",
       " [ 0.00000000+0.j          0.00000000+0.j          0.00000000+0.j         ...,\n",
       "  -0.44114336+7.26287912j  0.00000000+0.j          0.00000000+0.j        ]\n",
       " [ 0.00000000+0.j          0.00000000+0.j          0.00000000+0.j         ...,\n",
       "   0.00000000+0.j         -0.43647128+5.38162336j  0.00000000+0.j        ]\n",
       " [ 0.00000000+0.j          0.00000000+0.j          0.00000000+0.j         ...,\n",
       "   0.00000000+0.j          0.00000000+0.j         -0.45670914+0.j        ]]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==================== Lindblad liouvilllian: \n"
     ]
    },
    {
     "data": {
      "text/latex": [
       "Quantum object: dims = [[[10, 2], [10, 2]], [[10, 2], [10, 2]]], shape = (400, 400), type = super, isherm = False\\begin{equation*}\\left(\\begin{array}{*{11}c}0.0 & 0.0 & 0.0 & -0.314j & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & -6.283j & -0.314j & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & -0.314j & (-0.025-6.283j) & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\-0.314j & 0.0 & 0.0 & (-0.025-12.566j) & -0.444j & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & -0.444j & (-0.050-12.566j) & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\\\vdots & \\vdots & \\vdots & \\vdots & \\vdots & \\ddots & \\vdots & \\vdots & \\vdots & \\vdots & \\vdots\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & (-0.400+12.566j) & -0.889j & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & -0.889j & (-0.425+12.566j) & 0.0 & 0.0 & -0.942j\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & (-0.425+6.283j) & -0.942j & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & -0.942j & (-0.450+6.283j) & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & -0.942j & 0.0 & 0.0 & -0.450\\\\\\end{array}\\right)\\end{equation*}"
      ],
      "text/plain": [
       "Quantum object: dims = [[[10, 2], [10, 2]], [[10, 2], [10, 2]]], shape = (400, 400), type = super, isherm = False\n",
       "Qobj data =\n",
       "[[ 0.000+0.j          0.000+0.j          0.000+0.j         ...,  0.000+0.j\n",
       "   0.000+0.j          0.000+0.j        ]\n",
       " [ 0.000+0.j          0.000-6.28318531j  0.000-0.31415927j ...,  0.000+0.j\n",
       "   0.000+0.j          0.000+0.j        ]\n",
       " [ 0.000+0.j          0.000-0.31415927j -0.025-6.28318531j ...,  0.000+0.j\n",
       "   0.000+0.j          0.000+0.j        ]\n",
       " ..., \n",
       " [ 0.000+0.j          0.000+0.j          0.000+0.j         ...,\n",
       "  -0.425+6.28318531j  0.000-0.9424778j   0.000+0.j        ]\n",
       " [ 0.000+0.j          0.000+0.j          0.000+0.j         ...,\n",
       "   0.000-0.9424778j  -0.450+6.28318531j  0.000+0.j        ]\n",
       " [ 0.000+0.j          0.000+0.j          0.000+0.j         ...,  0.000+0.j\n",
       "   0.000+0.j         -0.450+0.j        ]]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==================== Bloch-Redfield steadystate dm\n"
     ]
    },
    {
     "data": {
      "text/latex": [
       "Quantum object: dims = [[10, 2], [10, 2]], shape = (20, 20), type = oper, isherm = True\\begin{equation*}\\left(\\begin{array}{*{11}c}0.999 & 0.0 & 0.0 & -0.025 & 8.842\\times10^{-04} & \\cdots & -3.013\\times10^{-12} & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\-0.025 & 0.0 & 0.0 & 6.254\\times10^{-04} & -2.212\\times10^{-05} & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\8.842\\times10^{-04} & 0.0 & 0.0 & -2.212\\times10^{-05} & 7.822\\times10^{-07} & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\\\vdots & \\vdots & \\vdots & \\vdots & \\vdots & \\ddots & \\vdots & \\vdots & \\vdots & \\vdots & \\vdots\\\\-3.013\\times10^{-12} & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\\\end{array}\\right)\\end{equation*}"
      ],
      "text/plain": [
       "Quantum object: dims = [[10, 2], [10, 2]], shape = (20, 20), type = oper, isherm = True\n",
       "Qobj data =\n",
       "[[  9.99373827e-01   0.00000000e+00   0.00000000e+00  -2.49999707e-02\n",
       "    8.84158652e-04   0.00000000e+00   0.00000000e+00  -1.91485790e-05\n",
       "    4.78814187e-07   0.00000000e+00   0.00000000e+00  -8.92403421e-09\n",
       "    1.82189287e-10   0.00000000e+00   0.00000000e+00  -3.01314674e-12\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
       " [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
       " [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
       " [ -2.49999707e-02   0.00000000e+00   0.00000000e+00   6.25390135e-04\n",
       "   -2.21177899e-05   0.00000000e+00   0.00000000e+00   4.79013859e-07\n",
       "   -1.19778408e-08   0.00000000e+00   0.00000000e+00   2.23240380e-10\n",
       "   -4.55758067e-12   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
       " [  8.84158652e-04   0.00000000e+00   0.00000000e+00  -2.21177899e-05\n",
       "    7.82226331e-07   0.00000000e+00   0.00000000e+00  -1.69409898e-08\n",
       "    4.23612954e-10   0.00000000e+00   0.00000000e+00  -7.89520541e-12\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
       " [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
       " [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
       " [ -1.91485790e-05   0.00000000e+00   0.00000000e+00   4.79013859e-07\n",
       "   -1.69409898e-08   0.00000000e+00   0.00000000e+00   3.66897650e-10\n",
       "   -9.17451558e-12   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
       " [  4.78814187e-07   0.00000000e+00   0.00000000e+00  -1.19778408e-08\n",
       "    4.23612954e-10   0.00000000e+00   0.00000000e+00  -9.17451558e-12\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
       " [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
       " [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
       " [ -8.92403421e-09   0.00000000e+00   0.00000000e+00   2.23240380e-10\n",
       "   -7.89520541e-12   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
       " [  1.82189287e-10   0.00000000e+00   0.00000000e+00  -4.55758067e-12\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
       " [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
       " [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
       " [ -3.01314674e-12   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
       " [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
       " [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
       " [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
       " [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==================== Lindblad steadystate dm\n"
     ]
    },
    {
     "data": {
      "text/latex": [
       "Quantum object: dims = [[10, 2], [10, 2]], shape = (20, 20), type = oper, isherm = True\\begin{equation*}\\left(\\begin{array}{*{11}c}0.998 & 0.0 & 0.0 & (-0.025+4.974\\times10^{-05}j) & (8.830\\times10^{-04}-5.270\\times10^{-06}j) & \\cdots & -3.008\\times10^{-12} & 5.318\\times10^{-14} & 0.0 & 0.0 & -7.975\\times10^{-16}\\\\0.0 & 6.282\\times10^{-04} & (-3.128\\times10^{-05}+4.971\\times10^{-05}j) & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & -2.686\\times10^{-16} & 5.694\\times10^{-18} & 0.0\\\\0.0 & (-3.128\\times10^{-05}-4.971\\times10^{-05}j) & 6.250\\times10^{-04} & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & -5.325\\times10^{-15} & 9.983\\times10^{-17} & 0.0\\\\(-0.025-4.974\\times10^{-05}j) & 0.0 & 0.0 & 6.247\\times10^{-04} & (-2.210\\times10^{-05}+1.024\\times10^{-07}j) & \\cdots & 7.512\\times10^{-14} & -1.326\\times10^{-15} & 0.0 & 0.0 & 1.984\\times10^{-17}\\\\(8.830\\times10^{-04}+5.270\\times10^{-06}j) & 0.0 & 0.0 & (-2.210\\times10^{-05}-1.024\\times10^{-07}j) & 9.114\\times10^{-07} & \\cdots & -7.964\\times10^{-15} & 1.720\\times10^{-16} & 0.0 & 0.0 & -3.048\\times10^{-18}\\\\\\vdots & \\vdots & \\vdots & \\vdots & \\vdots & \\ddots & \\vdots & \\vdots & \\vdots & \\vdots & \\vdots\\\\-3.008\\times10^{-12} & 0.0 & 0.0 & 7.512\\times10^{-14} & -7.964\\times10^{-15} & \\cdots & 1.865\\times10^{-19} & -1.888\\times10^{-18} & 0.0 & 0.0 & 9.101\\times10^{-20}\\\\5.318\\times10^{-14} & 0.0 & 0.0 & -1.326\\times10^{-15} & 1.720\\times10^{-16} & \\cdots & -1.888\\times10^{-18} & 2.620\\times10^{-19} & 0.0 & 0.0 & 1.290\\times10^{-20}\\\\0.0 & -2.686\\times10^{-16} & -5.325\\times10^{-15} & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & -6.197\\times10^{-17} & 3.031\\times10^{-18} & 0.0\\\\0.0 & 5.694\\times10^{-18} & 9.983\\times10^{-17} & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 3.031\\times10^{-18} & -6.198\\times10^{-17} & 0.0\\\\-7.975\\times10^{-16} & 0.0 & 0.0 & 1.984\\times10^{-17} & -3.048\\times10^{-18} & \\cdots & 9.101\\times10^{-20} & 1.290\\times10^{-20} & 0.0 & 0.0 & 3.143\\times10^{-19}\\\\\\end{array}\\right)\\end{equation*}"
      ],
      "text/plain": [
       "Quantum object: dims = [[10, 2], [10, 2]], shape = (20, 20), type = oper, isherm = True\n",
       "Qobj data =\n",
       "[[  9.98120425e-01 +0.00000000e+00j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -2.49685135e-02 +4.97352698e-05j\n",
       "    8.83024879e-04 -5.27010997e-06j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -1.91235099e-05 +1.71178575e-07j\n",
       "    4.78162691e-07 -6.18105497e-09j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -8.91141216e-09 +1.44721909e-10j\n",
       "    1.81917269e-10 -3.67755077e-12j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -3.00839702e-12 +7.12827202e-14j\n",
       "    5.31822729e-14 -1.47158804e-15j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -7.97545642e-16 +2.49256213e-17j]\n",
       " [  0.00000000e+00 +0.00000000e+00j   6.28152194e-04 +0.00000000e+00j\n",
       "   -3.12778095e-05 +4.97148485e-05j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   5.46429986e-07 -1.75764210e-06j\n",
       "    7.25220144e-10 +7.58647875e-08j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -3.25193267e-10 -1.89163256e-09j\n",
       "    1.77261532e-11 +5.26368750e-11j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -4.80179827e-13 -1.07018050e-12j\n",
       "    1.32117713e-14 +2.34694956e-14j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -2.68581639e-16 -4.12852081e-16j\n",
       "    5.69428219e-18 +7.69299860e-18j   0.00000000e+00 +0.00000000e+00j]\n",
       " [  0.00000000e+00 +0.00000000e+00j  -3.12778095e-05 -4.97148485e-05j\n",
       "    6.24991833e-04 +0.00000000e+00j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -2.20964012e-05 +8.81302255e-08j\n",
       "    9.56743176e-07 -9.53446270e-09j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -2.39247010e-08 +3.33808680e-10j\n",
       "    6.68860999e-10 -1.26645298e-11j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -1.36565545e-11 +3.13019488e-13j\n",
       "    3.01164543e-13 -8.30347885e-15j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -5.32501829e-15 +1.68047250e-16j\n",
       "    9.98305291e-17 -3.59823864e-18j   0.00000000e+00 +0.00000000e+00j]\n",
       " [ -2.49685135e-02 -4.97352698e-05j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   6.24735211e-04 +0.00000000e+00j\n",
       "   -2.21019666e-05 +1.02418516e-07j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   4.78725279e-07 -3.96056529e-09j\n",
       "   -1.19681568e-08 +1.62237112e-10j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   2.22964388e-10 -4.05232344e-12j\n",
       "   -4.54752332e-12 +1.09619209e-13j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   7.51191358e-14 -2.21909688e-15j\n",
       "   -1.32557278e-15 +4.78904703e-17j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   1.98387077e-17 -8.39857331e-19j]\n",
       " [  8.83024879e-04 +5.27010997e-06j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -2.21019666e-05 -1.02418516e-07j\n",
       "    9.11415636e-07 +0.00000000e+00j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -2.25479129e-08 +8.40698056e-11j\n",
       "    7.04130963e-10 -6.86171201e-12j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -1.57391849e-11 +2.29665211e-13j\n",
       "    4.01418535e-13 -8.28453460e-15j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -7.96384228e-15 +2.03991358e-16j\n",
       "    1.72035043e-16 -5.38293370e-18j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -3.04843697e-18 +1.10137921e-19j]\n",
       " [  0.00000000e+00 +0.00000000e+00j   5.46429986e-07 +1.75764210e-06j\n",
       "   -2.20964012e-05 -8.81302255e-08j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   7.81755867e-07 +0.00000000e+00j\n",
       "   -3.38741559e-08 +2.08024698e-10j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   8.47383780e-10 -8.71995134e-12j\n",
       "   -2.36974711e-11 +3.69581663e-13j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   4.83914697e-13 -9.63203053e-15j\n",
       "   -1.06718621e-14 +2.67183764e-16j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   1.88676613e-16 -5.56661981e-18j\n",
       "   -3.53631802e-18 +1.22457007e-19j   0.00000000e+00 +0.00000000e+00j]\n",
       " [  0.00000000e+00 +0.00000000e+00j   7.25220144e-10 -7.58647875e-08j\n",
       "    9.56743176e-07 +9.53446270e-09j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -3.38741559e-08 -2.08024698e-10j\n",
       "    1.50906582e-09 +0.00000000e+00j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -3.87709741e-11 +1.62554468e-13j\n",
       "    1.14098202e-12 -1.12410083e-14j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -2.44566894e-14 +3.54606529e-16j\n",
       "    5.77611741e-16 -1.16856341e-17j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -1.08889725e-17 +2.74486781e-19j\n",
       "    2.21007339e-19 -6.84990627e-21j   0.00000000e+00 +0.00000000e+00j]\n",
       " [ -1.91235099e-05 -1.71178575e-07j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   4.78725279e-07 +3.96056529e-09j\n",
       "   -2.25479129e-08 -8.40698056e-11j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   6.10137502e-10 +0.00000000e+00j\n",
       "   -2.13517121e-11 +1.39266685e-13j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   5.11659927e-13 -5.97988036e-15j\n",
       "   -1.39284682e-14 +2.56487211e-16j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   2.87950822e-16 -6.92560258e-18j\n",
       "   -6.44709447e-18 +1.98650062e-19j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   1.16991297e-19 -4.30247160e-21j]\n",
       " [  4.78162691e-07 +6.18105497e-09j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -1.19681568e-08 -1.62237112e-10j\n",
       "    7.04130963e-10 +6.86171201e-12j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -2.13517121e-11 -1.39266685e-13j\n",
       "    8.75531817e-13 +0.00000000e+00j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -2.33656656e-14 +1.19359348e-16j\n",
       "    7.34061430e-16 -9.09129576e-18j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -1.70743040e-17 +3.14403141e-19j\n",
       "    4.42103274e-19 -1.12732485e-20j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -9.08577031e-21 +3.03788710e-22j]\n",
       " [  0.00000000e+00 +0.00000000e+00j  -3.25193267e-10 +1.89163256e-09j\n",
       "   -2.39247010e-08 -3.33808680e-10j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   8.47383780e-10 +8.71995134e-12j\n",
       "   -3.87709741e-11 -1.62554468e-13j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   1.02088510e-12 +0.00000000e+00j\n",
       "   -3.13930681e-14 +1.88132863e-16j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   6.99140078e-16 -7.69868473e-18j\n",
       "   -1.73405438e-17 +3.00627428e-19j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   3.40787839e-19 -7.72089658e-21j\n",
       "   -7.20654987e-21 +2.08148332e-22j   0.00000000e+00 +0.00000000e+00j]\n",
       " [  0.00000000e+00 +0.00000000e+00j   1.77261532e-11 -5.26368750e-11j\n",
       "    6.68860999e-10 +1.26645298e-11j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -2.36974711e-11 -3.69581663e-13j\n",
       "    1.14098202e-12 +1.12410083e-14j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -3.13930681e-14 -1.88132863e-16j\n",
       "    1.06552426e-15 +0.00000000e+00j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -2.58385589e-17 +1.27283644e-19j\n",
       "    7.20660965e-19 -6.79480555e-20j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -8.43461013e-21 +3.97521624e-21j\n",
       "    1.61422551e-21 -1.19065192e-22j   0.00000000e+00 +0.00000000e+00j]\n",
       " [ -8.91141216e-09 -1.44721909e-10j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   2.22964388e-10 +4.05232344e-12j\n",
       "   -1.57391849e-11 -2.29665211e-13j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   5.11659927e-13 +5.97988036e-15j\n",
       "   -2.33656656e-14 -1.19359348e-16j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   6.77478810e-16 +0.00000000e+00j\n",
       "   -2.35092964e-17 +1.96998721e-20j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   5.71214434e-19 -8.62047402e-21j\n",
       "   -2.12841762e-20 +5.13036449e-21j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   7.69439905e-22 +8.23118414e-22j]\n",
       " [  1.81917269e-10 +3.67755077e-12j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -4.54752332e-12 -1.09619209e-13j\n",
       "    4.01418535e-13 +8.28453460e-15j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -1.39284682e-14 -2.56487211e-16j\n",
       "    7.34061430e-16 +9.09129576e-18j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -2.35092964e-17 -1.96998721e-20j\n",
       "    7.52733632e-18 +0.00000000e+00j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -4.76502436e-19 -2.95719718e-19j\n",
       "   -9.20673961e-20 +5.27277664e-20j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   6.98187869e-21 +3.32389616e-20j]\n",
       " [  0.00000000e+00 +0.00000000e+00j  -4.80179827e-13 +1.07018050e-12j\n",
       "   -1.36565545e-11 -3.13019488e-13j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   4.83914697e-13 +9.63203053e-15j\n",
       "   -2.44566894e-14 -3.54606529e-16j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   6.99140078e-16 +7.69868473e-18j\n",
       "   -2.58385589e-17 -1.27283644e-19j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   5.96609746e-18 +0.00000000e+00j\n",
       "   -2.70324961e-19 -9.19555492e-19j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   2.61747653e-19 +5.13768811e-20j\n",
       "    4.90229425e-20 +1.52414735e-21j   0.00000000e+00 +0.00000000e+00j]\n",
       " [  0.00000000e+00 +0.00000000e+00j   1.32117713e-14 -2.34694956e-14j\n",
       "    3.01164543e-13 +8.30347885e-15j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -1.06718621e-14 -2.67183764e-16j\n",
       "    5.77611741e-16 +1.16856341e-17j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -1.73405438e-17 -3.00627428e-19j\n",
       "    7.20660965e-19 +6.79480555e-20j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -2.70324961e-19 +9.19555492e-19j\n",
       "    5.81839820e-18 +0.00000000e+00j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   4.21958823e-18 -1.41488616e-19j\n",
       "   -1.12981083e-19 +1.71431163e-20j   0.00000000e+00 +0.00000000e+00j]\n",
       " [ -3.00839702e-12 -7.12827202e-14j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   7.51191358e-14 +2.21909688e-15j\n",
       "   -7.96384228e-15 -2.03991358e-16j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   2.87950822e-16 +6.92560258e-18j\n",
       "   -1.70743040e-17 -3.14403141e-19j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   5.71214434e-19 +8.62047402e-21j\n",
       "   -4.76502436e-19 +2.95719718e-19j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   1.86532649e-19 +0.00000000e+00j\n",
       "   -1.88772631e-18 +5.29147216e-19j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   9.10090387e-20 +1.06722729e-18j]\n",
       " [  5.31822729e-14 +1.47158804e-15j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -1.32557278e-15 -4.78904703e-17j\n",
       "    1.72035043e-16 +5.38293370e-18j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -6.44709447e-18 -1.98650062e-19j\n",
       "    4.42103274e-19 +1.12732485e-20j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -2.12841762e-20 -5.13036449e-21j\n",
       "   -9.20673961e-20 -5.27277664e-20j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -1.88772631e-18 -5.29147216e-19j\n",
       "    2.61955339e-19 +0.00000000e+00j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   1.28969452e-20 +7.50281854e-20j]\n",
       " [  0.00000000e+00 +0.00000000e+00j  -2.68581639e-16 +4.12852081e-16j\n",
       "   -5.32501829e-15 -1.68047250e-16j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   1.88676613e-16 +5.56661981e-18j\n",
       "   -1.08889725e-17 -2.74486781e-19j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   3.40787839e-19 +7.72089658e-21j\n",
       "   -8.43461013e-21 -3.97521624e-21j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   2.61747653e-19 -5.13768811e-20j\n",
       "    4.21958823e-18 +1.41488616e-19j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -6.19666206e-17 +0.00000000e+00j\n",
       "    3.03071077e-18 +1.30913567e-17j   0.00000000e+00 +0.00000000e+00j]\n",
       " [  0.00000000e+00 +0.00000000e+00j   5.69428219e-18 -7.69299860e-18j\n",
       "    9.98305291e-17 +3.59823864e-18j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -3.53631802e-18 -1.22457007e-19j\n",
       "    2.21007339e-19 +6.84990627e-21j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -7.20654987e-21 -2.08148332e-22j\n",
       "    1.61422551e-21 +1.19065192e-22j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   4.90229425e-20 -1.52414735e-21j\n",
       "   -1.12981083e-19 -1.71431163e-20j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   3.03071077e-18 -1.30913567e-17j\n",
       "   -6.19765381e-17 +0.00000000e+00j   0.00000000e+00 +0.00000000e+00j]\n",
       " [ -7.97545642e-16 -2.49256213e-17j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   1.98387077e-17 +8.39857331e-19j\n",
       "   -3.04843697e-18 -1.10137921e-19j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   1.16991297e-19 +4.30247160e-21j\n",
       "   -9.08577031e-21 -3.03788710e-22j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   7.69439905e-22 -8.23118414e-22j\n",
       "    6.98187869e-21 -3.32389616e-20j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   9.10090387e-20 -1.06722729e-18j\n",
       "    1.28969452e-20 -7.50281854e-20j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   3.14277328e-19 +0.00000000e+00j]]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==================== Steadystate expectation values\n",
      "R_ob:  [0.0006269556884685608, 0.0006253905020122077]\n",
      "R_eb:  [0.0006269556893783309, 0.0006253905020103645]\n",
      "L   :  [0.0012531197519054338, 0.0012536697716992462]\n",
      "==================== Dynamics final states\n",
      "R:  [0.00062695568938809241, 0.00062539050201271512]\n",
      "L:  [0.0012531197519057469, 0.0012536697716989808]\n"
     ]
    }
   ],
   "source": [
    "solve(H, psi0, c_ops, a_ops, e_ops)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Strong coupling"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "w0 = 1.0 * 2 * np.pi\n",
    "g = 0.75 * 2 * np.pi\n",
    "kappa = 0.05\n",
    "times = np.linspace(0, 150 * 2 * np.pi / g, 1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "c_ops = [np.sqrt(kappa) * a]\n",
    "H = w0 * a.dag() * a + w0 * sm.dag() * sm + g * (a + a.dag()) * (sm + sm.dag())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAecAAAENCAYAAAA10q2wAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1147d0be0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==================== Bloch-Redfield tensor: \n"
     ]
    },
    {
     "data": {
      "text/latex": [
       "Quantum object: dims = [[[10, 2], [10, 2]], [[10, 2], [10, 2]]], shape = (400, 400), type = super, isherm = False\\begin{equation*}\\left(\\begin{array}{*{11}c}0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & (-0.051-1.885j) & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & (-0.052-6.705j) & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & (-0.069-9.264j) & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & (-0.037-13.304j) & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\\\vdots & \\vdots & \\vdots & \\vdots & \\vdots & \\ddots & \\vdots & \\vdots & \\vdots & \\vdots & \\vdots\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & (-0.595+26.008j) & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & (-0.557+16.303j) & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & (-0.681+14.149j) & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & (-0.514+0.513j) & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & -0.948\\\\\\end{array}\\right)\\end{equation*}"
      ],
      "text/plain": [
       "Quantum object: dims = [[[10, 2], [10, 2]], [[10, 2], [10, 2]]], shape = (400, 400), type = super, isherm = False\n",
       "Qobj data =\n",
       "[[ 0.00000000 +0.j          0.00000000 +0.j          0.00000000 +0.j         ...,\n",
       "   0.00000000 +0.j          0.00000000 +0.j          0.00000000 +0.j        ]\n",
       " [ 0.00000000 +0.j         -0.05067391 -1.88466252j  0.00000000 +0.j         ...,\n",
       "   0.00000000 +0.j          0.00000000 +0.j          0.00000000 +0.j        ]\n",
       " [ 0.00000000 +0.j          0.00000000 +0.j         -0.05172134 -6.70461497j\n",
       "  ...,  0.00000000 +0.j          0.00000000 +0.j          0.00000000 +0.j        ]\n",
       " ..., \n",
       " [ 0.00000000 +0.j          0.00000000 +0.j          0.00000000 +0.j         ...,\n",
       "  -0.68122977+14.14935361j  0.00000000 +0.j          0.00000000 +0.j        ]\n",
       " [ 0.00000000 +0.j          0.00000000 +0.j          0.00000000 +0.j         ...,\n",
       "   0.00000000 +0.j         -0.51432716 +0.51299852j  0.00000000 +0.j        ]\n",
       " [ 0.00000000 +0.j          0.00000000 +0.j          0.00000000 +0.j         ...,\n",
       "   0.00000000 +0.j          0.00000000 +0.j         -0.94788098 +0.j        ]]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==================== Lindblad liouvilllian: \n"
     ]
    },
    {
     "data": {
      "text/latex": [
       "Quantum object: dims = [[[10, 2], [10, 2]], [[10, 2], [10, 2]]], shape = (400, 400), type = super, isherm = False\\begin{equation*}\\left(\\begin{array}{*{11}c}0.0 & 0.0 & 0.0 & -4.712j & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & -6.283j & -4.712j & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & -4.712j & (-0.025-6.283j) & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\-4.712j & 0.0 & 0.0 & (-0.025-12.566j) & -6.664j & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & -6.664j & (-0.050-12.566j) & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\\\vdots & \\vdots & \\vdots & \\vdots & \\vdots & \\ddots & \\vdots & \\vdots & \\vdots & \\vdots & \\vdots\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & (-0.400+12.566j) & -13.329j & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & -13.329j & (-0.425+12.566j) & 0.0 & 0.0 & -14.137j\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & (-0.425+6.283j) & -14.137j & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & -14.137j & (-0.450+6.283j) & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & -14.137j & 0.0 & 0.0 & -0.450\\\\\\end{array}\\right)\\end{equation*}"
      ],
      "text/plain": [
       "Quantum object: dims = [[[10, 2], [10, 2]], [[10, 2], [10, 2]]], shape = (400, 400), type = super, isherm = False\n",
       "Qobj data =\n",
       "[[ 0.000 +0.j          0.000 +0.j          0.000 +0.j         ...,\n",
       "   0.000 +0.j          0.000 +0.j          0.000 +0.j        ]\n",
       " [ 0.000 +0.j          0.000 -6.28318531j  0.000 -4.71238898j ...,\n",
       "   0.000 +0.j          0.000 +0.j          0.000 +0.j        ]\n",
       " [ 0.000 +0.j          0.000 -4.71238898j -0.025 -6.28318531j ...,\n",
       "   0.000 +0.j          0.000 +0.j          0.000 +0.j        ]\n",
       " ..., \n",
       " [ 0.000 +0.j          0.000 +0.j          0.000 +0.j         ...,\n",
       "  -0.425 +6.28318531j  0.000-14.13716694j  0.000 +0.j        ]\n",
       " [ 0.000 +0.j          0.000 +0.j          0.000 +0.j         ...,\n",
       "   0.000-14.13716694j -0.450 +6.28318531j  0.000 +0.j        ]\n",
       " [ 0.000 +0.j          0.000 +0.j          0.000 +0.j         ...,\n",
       "   0.000 +0.j          0.000 +0.j         -0.450 +0.j        ]]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==================== Bloch-Redfield steadystate dm\n"
     ]
    },
    {
     "data": {
      "text/latex": [
       "Quantum object: dims = [[10, 2], [10, 2]], shape = (20, 20), type = oper, isherm = True\\begin{equation*}\\left(\\begin{array}{*{11}c}0.795 & 0.0 & 0.0 & -0.345 & 0.195 & \\cdots & -6.264\\times10^{-04} & 1.696\\times10^{-04} & 0.0 & 0.0 & -3.695\\times10^{-05}\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\-0.345 & 0.0 & 0.0 & 0.150 & -0.085 & \\cdots & 2.722\\times10^{-04} & -7.370\\times10^{-05} & 0.0 & 0.0 & 1.606\\times10^{-05}\\\\0.195 & 0.0 & 0.0 & -0.085 & 0.048 & \\cdots & -1.540\\times10^{-04} & 4.170\\times10^{-05} & 0.0 & 0.0 & -9.086\\times10^{-06}\\\\\\vdots & \\vdots & \\vdots & \\vdots & \\vdots & \\ddots & \\vdots & \\vdots & \\vdots & \\vdots & \\vdots\\\\-6.264\\times10^{-04} & 0.0 & 0.0 & 2.722\\times10^{-04} & -1.540\\times10^{-04} & \\cdots & 4.935\\times10^{-07} & -1.336\\times10^{-07} & 0.0 & 0.0 & 2.911\\times10^{-08}\\\\1.696\\times10^{-04} & 0.0 & 0.0 & -7.370\\times10^{-05} & 4.170\\times10^{-05} & \\cdots & -1.336\\times10^{-07} & 3.617\\times10^{-08} & 0.0 & 0.0 & -7.882\\times10^{-09}\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\-3.695\\times10^{-05} & 0.0 & 0.0 & 1.606\\times10^{-05} & -9.086\\times10^{-06} & \\cdots & 2.911\\times10^{-08} & -7.882\\times10^{-09} & 0.0 & 0.0 & 1.717\\times10^{-09}\\\\\\end{array}\\right)\\end{equation*}"
      ],
      "text/plain": [
       "Quantum object: dims = [[10, 2], [10, 2]], shape = (20, 20), type = oper, isherm = True\n",
       "Qobj data =\n",
       "[[  7.95021691e-01   0.00000000e+00   0.00000000e+00  -3.45496723e-01\n",
       "    1.95477701e-01   0.00000000e+00   0.00000000e+00  -6.79064848e-02\n",
       "    2.65505422e-02   0.00000000e+00   0.00000000e+00  -7.74937530e-03\n",
       "    2.44698782e-03   0.00000000e+00   0.00000000e+00  -6.26395795e-04\n",
       "    1.69581885e-04   0.00000000e+00   0.00000000e+00  -3.69515569e-05]\n",
       " [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
       " [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
       " [ -3.45496723e-01   0.00000000e+00   0.00000000e+00   1.50144313e-01\n",
       "   -8.49497639e-02   0.00000000e+00   0.00000000e+00   2.95104752e-02\n",
       "   -1.15382076e-02   0.00000000e+00   0.00000000e+00   3.36768644e-03\n",
       "   -1.06340026e-03   0.00000000e+00   0.00000000e+00   2.72216087e-04\n",
       "   -7.36960843e-05   0.00000000e+00   0.00000000e+00   1.60582308e-05]\n",
       " [  1.95477701e-01   0.00000000e+00   0.00000000e+00  -8.49497639e-02\n",
       "    4.80635081e-02   0.00000000e+00   0.00000000e+00  -1.66966558e-02\n",
       "    6.52817276e-03   0.00000000e+00   0.00000000e+00  -1.90539464e-03\n",
       "    6.01658493e-04   0.00000000e+00   0.00000000e+00  -1.54016439e-04\n",
       "    4.16963177e-05   0.00000000e+00   0.00000000e+00  -9.08554504e-06]\n",
       " [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
       " [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
       " [ -6.79064848e-02   0.00000000e+00   0.00000000e+00   2.95104752e-02\n",
       "   -1.66966558e-02   0.00000000e+00   0.00000000e+00   5.80020737e-03\n",
       "   -2.26780478e-03   0.00000000e+00   0.00000000e+00   6.61910035e-04\n",
       "   -2.09008563e-04   0.00000000e+00   0.00000000e+00   5.35033660e-05\n",
       "   -1.44847742e-05   0.00000000e+00   0.00000000e+00   3.15620361e-06]\n",
       " [  2.65505422e-02   0.00000000e+00   0.00000000e+00  -1.15382076e-02\n",
       "    6.52817276e-03   0.00000000e+00   0.00000000e+00  -2.26780478e-03\n",
       "    8.86681836e-04   0.00000000e+00   0.00000000e+00  -2.58798116e-04\n",
       "    8.17195985e-05   0.00000000e+00   0.00000000e+00  -2.09191122e-05\n",
       "    5.66335618e-06   0.00000000e+00   0.00000000e+00  -1.23403409e-06]\n",
       " [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
       " [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
       " [ -7.74937530e-03   0.00000000e+00   0.00000000e+00   3.36768644e-03\n",
       "   -1.90539464e-03   0.00000000e+00   0.00000000e+00   6.61910035e-04\n",
       "   -2.58798116e-04   0.00000000e+00   0.00000000e+00   7.55360743e-05\n",
       "   -2.38517102e-05   0.00000000e+00   0.00000000e+00   6.10571529e-06\n",
       "   -1.65297839e-06   0.00000000e+00   0.00000000e+00   3.60180716e-07]\n",
       " [  2.44698782e-03   0.00000000e+00   0.00000000e+00  -1.06340026e-03\n",
       "    6.01658493e-04   0.00000000e+00   0.00000000e+00  -2.09008563e-04\n",
       "    8.17195985e-05   0.00000000e+00   0.00000000e+00  -2.38517102e-05\n",
       "    7.53155473e-06   0.00000000e+00   0.00000000e+00  -1.92797617e-06\n",
       "    5.21954070e-07   0.00000000e+00   0.00000000e+00  -1.13732758e-07]\n",
       " [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
       " [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
       " [ -6.26395795e-04   0.00000000e+00   0.00000000e+00   2.72216087e-04\n",
       "   -1.54016439e-04   0.00000000e+00   0.00000000e+00   5.35033660e-05\n",
       "   -2.09191122e-05   0.00000000e+00   0.00000000e+00   6.10571529e-06\n",
       "   -1.92797617e-06   0.00000000e+00   0.00000000e+00   4.93535832e-07\n",
       "   -1.33613184e-07   0.00000000e+00   0.00000000e+00   2.91140482e-08]\n",
       " [  1.69581885e-04   0.00000000e+00   0.00000000e+00  -7.36960843e-05\n",
       "    4.16963177e-05   0.00000000e+00   0.00000000e+00  -1.44847742e-05\n",
       "    5.66335618e-06   0.00000000e+00   0.00000000e+00  -1.65297839e-06\n",
       "    5.21954070e-07   0.00000000e+00   0.00000000e+00  -1.33613184e-07\n",
       "    3.61726178e-08   0.00000000e+00   0.00000000e+00  -7.88194177e-09]\n",
       " [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
       " [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00\n",
       "    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00]\n",
       " [ -3.69515569e-05   0.00000000e+00   0.00000000e+00   1.60582308e-05\n",
       "   -9.08554504e-06   0.00000000e+00   0.00000000e+00   3.15620361e-06\n",
       "   -1.23403409e-06   0.00000000e+00   0.00000000e+00   3.60180716e-07\n",
       "   -1.13732758e-07   0.00000000e+00   0.00000000e+00   2.91140482e-08\n",
       "   -7.88194177e-09   0.00000000e+00   0.00000000e+00   1.71745950e-09]]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==================== Lindblad steadystate dm\n"
     ]
    },
    {
     "data": {
      "text/latex": [
       "Quantum object: dims = [[10, 2], [10, 2]], shape = (20, 20), type = oper, isherm = True\\begin{equation*}\\left(\\begin{array}{*{11}c}0.595 & 0.0 & 0.0 & (-0.256+6.823\\times10^{-04}j) & (0.143-9.396\\times10^{-04}j) & \\cdots & (-4.275\\times10^{-04}+1.073\\times10^{-05}j) & (1.136\\times10^{-04}-3.328\\times10^{-06}j) & 0.0 & 0.0 & (-2.435\\times10^{-05}+8.046\\times10^{-07}j)\\\\0.0 & 0.073 & (-0.092+6.046\\times10^{-04}j) & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & (4.927\\times10^{-05}-5.798\\times10^{-07}j) & (-1.237\\times10^{-05}+1.515\\times10^{-07}j) & 0.0\\\\0.0 & (-0.092-6.046\\times10^{-04}j) & 0.129 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & (-6.825\\times10^{-05}+2.628\\times10^{-06}j) & (1.592\\times10^{-05}-7.139\\times10^{-07}j) & 0.0\\\\(-0.256-6.823\\times10^{-04}j) & 0.0 & 0.0 & 0.114 & (-0.066+2.619\\times10^{-04}j) & \\cdots & (2.457\\times10^{-04}-4.655\\times10^{-06}j) & (-7.023\\times10^{-05}+1.572\\times10^{-06}j) & 0.0 & 0.0 & (1.610\\times10^{-05}-4.199\\times10^{-07}j)\\\\(0.143+9.396\\times10^{-04}j) & 0.0 & 0.0 & (-0.066-2.619\\times10^{-04}j) & 0.042 & \\cdots & (-1.764\\times10^{-04}+2.688\\times10^{-06}j) & (4.798\\times10^{-05}-8.212\\times10^{-07}j) & 0.0 & 0.0 & (-1.033\\times10^{-05}+2.020\\times10^{-07}j)\\\\\\vdots & \\vdots & \\vdots & \\vdots & \\vdots & \\ddots & \\vdots & \\vdots & \\vdots & \\vdots & \\vdots\\\\(-4.275\\times10^{-04}-1.073\\times10^{-05}j) & 0.0 & 0.0 & (2.457\\times10^{-04}+4.655\\times10^{-06}j) & (-1.764\\times10^{-04}-2.688\\times10^{-06}j) & \\cdots & 1.254\\times10^{-05} & (-6.267\\times10^{-06}+5.402\\times10^{-08}j) & 0.0 & 0.0 & (2.063\\times10^{-06}-3.414\\times10^{-08}j)\\\\(1.136\\times10^{-04}+3.328\\times10^{-06}j) & 0.0 & 0.0 & (-7.023\\times10^{-05}-1.572\\times10^{-06}j) & (4.798\\times10^{-05}+8.212\\times10^{-07}j) & \\cdots & (-6.267\\times10^{-06}-5.402\\times10^{-08}j) & 3.769\\times10^{-06} & 0.0 & 0.0 & (-1.360\\times10^{-06}+9.785\\times10^{-09}j)\\\\0.0 & (4.927\\times10^{-05}+5.798\\times10^{-07}j) & (-6.825\\times10^{-05}-2.628\\times10^{-06}j) & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 3.466\\times10^{-06} & (-1.444\\times10^{-06}+1.217\\times10^{-08}j) & 0.0\\\\0.0 & (-1.237\\times10^{-05}-1.515\\times10^{-07}j) & (1.592\\times10^{-05}+7.139\\times10^{-07}j) & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & (-1.444\\times10^{-06}-1.217\\times10^{-08}j) & 7.649\\times10^{-07} & 0.0\\\\(-2.435\\times10^{-05}-8.046\\times10^{-07}j) & 0.0 & 0.0 & (1.610\\times10^{-05}+4.199\\times10^{-07}j) & (-1.033\\times10^{-05}-2.020\\times10^{-07}j) & \\cdots & (2.063\\times10^{-06}+3.414\\times10^{-08}j) & (-1.360\\times10^{-06}-9.785\\times10^{-09}j) & 0.0 & 0.0 & 6.148\\times10^{-07}\\\\\\end{array}\\right)\\end{equation*}"
      ],
      "text/plain": [
       "Quantum object: dims = [[10, 2], [10, 2]], shape = (20, 20), type = oper, isherm = True\n",
       "Qobj data =\n",
       "[[  5.95464357e-01 +0.00000000e+00j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -2.56335597e-01 +6.82349752e-04j\n",
       "    1.42881636e-01 -9.39604405e-04j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -4.90719593e-02 +4.79253918e-04j\n",
       "    1.89137499e-02 -2.60248108e-04j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -5.45196704e-03 +9.40858646e-05j\n",
       "    1.69510288e-03 -3.62277167e-05j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -4.27510005e-04 +1.07283714e-05j\n",
       "    1.13614630e-04 -3.32830054e-06j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -2.43530912e-05 +8.04586637e-07j]\n",
       " [  0.00000000e+00 +0.00000000e+00j   7.25263674e-02 +0.00000000e+00j\n",
       "   -9.18818845e-02 +6.04619956e-04j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   3.96636051e-02 -3.60764642e-04j\n",
       "   -1.94854512e-02 +2.18438434e-04j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   6.42088715e-03 -7.86542966e-05j\n",
       "   -2.31917996e-03 +2.94387037e-05j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   6.51317977e-04 -8.23328293e-06j\n",
       "   -1.96843333e-04 +2.39688527e-06j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   4.92740780e-05 -5.79792078e-07j\n",
       "   -1.23652748e-05 +1.51488608e-07j   0.00000000e+00 +0.00000000e+00j]\n",
       " [  0.00000000e+00 +0.00000000e+00j  -9.18818845e-02 -6.04619956e-04j\n",
       "    1.28619898e-01 +0.00000000e+00j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -5.79199452e-02 +2.58790591e-04j\n",
       "    2.95785375e-02 -3.09087606e-04j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -9.91122004e-03 +1.52397405e-04j\n",
       "    3.58358350e-03 -7.65430717e-05j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -9.90930828e-04 +2.64185678e-05j\n",
       "    2.87805016e-04 -9.45033292e-06j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -6.82514388e-05 +2.62828687e-06j\n",
       "    1.59187366e-05 -7.13896135e-07j   0.00000000e+00 +0.00000000e+00j]\n",
       " [ -2.56335597e-01 -6.82349752e-04j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   1.13968177e-01 +0.00000000e+00j\n",
       "   -6.64864183e-02 +2.61906495e-04j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   2.35842432e-02 -1.62599755e-04j\n",
       "   -9.45784828e-03 +9.72405366e-05j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   2.82702208e-03 -3.68486949e-05j\n",
       "   -9.23911590e-04 +1.49026826e-05j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   2.45745116e-04 -4.65523782e-06j\n",
       "   -7.02322440e-05 +1.57154957e-06j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   1.60975918e-05 -4.19854252e-07j]\n",
       " [  1.42881636e-01 +9.39604405e-04j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -6.64864183e-02 -2.61906495e-04j\n",
       "    4.18191497e-02 +0.00000000e+00j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -1.56332735e-02 +4.83574783e-05j\n",
       "    6.61427522e-03 -4.52877252e-05j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -2.03753012e-03 +2.00611164e-05j\n",
       "    6.73182797e-04 -8.71998458e-06j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -1.76430289e-04 +2.68757956e-06j\n",
       "    4.79757546e-05 -8.21218750e-07j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -1.03334609e-05 +2.01964185e-07j]\n",
       " [  0.00000000e+00 +0.00000000e+00j   3.96636051e-02 +3.60764642e-04j\n",
       "   -5.79199452e-02 -2.58790591e-04j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   2.75827362e-02 +0.00000000e+00j\n",
       "   -1.53979410e-02 +9.86691681e-05j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   5.57632508e-03 -6.53569511e-05j\n",
       "   -2.23141363e-03 +4.04044672e-05j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   6.78661672e-04 -1.60569190e-05j\n",
       "   -2.22845454e-04 +6.72458525e-06j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   5.96698421e-05 -2.15668372e-06j\n",
       "   -1.59461852e-05 +6.80940361e-07j   0.00000000e+00 +0.00000000e+00j]\n",
       " [  0.00000000e+00 +0.00000000e+00j  -1.94854512e-02 -2.18438434e-04j\n",
       "    2.95785375e-02 +3.09087606e-04j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -1.53979410e-02 -9.86691681e-05j\n",
       "    9.86968100e-03 +0.00000000e+00j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -3.98192957e-03 +2.19615055e-05j\n",
       "    1.79654471e-03 -2.18094776e-05j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -5.96918652e-04 +1.04721978e-05j\n",
       "    2.12768082e-04 -4.95750869e-06j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -6.01342411e-05 +1.68019035e-06j\n",
       "    1.66783873e-05 -5.44727212e-07j   0.00000000e+00 +0.00000000e+00j]\n",
       " [ -4.90719593e-02 -4.79253918e-04j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   2.35842432e-02 +1.62599755e-04j\n",
       "   -1.56332735e-02 -4.83574783e-05j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   6.13092926e-03 +0.00000000e+00j\n",
       "   -2.77623091e-03 +1.15465434e-05j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   9.08639336e-04 -7.11102198e-06j\n",
       "   -3.23693861e-04 +3.97992101e-06j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   9.10774794e-05 -1.50555159e-06j\n",
       "   -2.70648140e-05 +6.00977697e-07j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   6.30839600e-06 -1.83964506e-07j]\n",
       " [  1.89137499e-02 +2.60248108e-04j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -9.45784828e-03 -9.72405366e-05j\n",
       "    6.61427522e-03 +4.52877252e-05j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -2.77623091e-03 -1.15465434e-05j\n",
       "    1.41861054e-03 +0.00000000e+00j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -5.24236225e-04 +2.36104896e-06j\n",
       "    2.18714081e-04 -2.36414904e-06j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -7.07995428e-05 +1.17823740e-06j\n",
       "    2.45359996e-05 -5.73514145e-07j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -6.40874153e-06 +1.91504890e-07j]\n",
       " [  0.00000000e+00 +0.00000000e+00j   6.42088715e-03 +7.86542966e-05j\n",
       "   -9.91122004e-03 -1.52397405e-04j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   5.57632508e-03 +6.53569511e-05j\n",
       "   -3.98192957e-03 -2.19615055e-05j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   1.73944867e-03 +0.00000000e+00j\n",
       "   -8.54750464e-04 +5.74838876e-06j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   3.02036384e-04 -3.70053047e-06j\n",
       "   -1.14206145e-04 +2.09338863e-06j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   3.36615957e-05 -7.90187305e-07j\n",
       "   -9.66067177e-06 +2.82554576e-07j   0.00000000e+00 +0.00000000e+00j]\n",
       " [  0.00000000e+00 +0.00000000e+00j  -2.31917996e-03 -2.94387037e-05j\n",
       "    3.58358350e-03 +7.65430717e-05j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -2.23141363e-03 -4.04044672e-05j\n",
       "    1.79654471e-03 +2.18094776e-05j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -8.54750464e-04 -5.74838876e-06j\n",
       "    4.63330743e-04 +0.00000000e+00j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -1.77289692e-04 +1.05197553e-06j\n",
       "    7.34035738e-05 -9.65365569e-07j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -2.33297172e-05 +4.59688297e-07j\n",
       "    7.19340505e-06 -1.96961220e-07j   0.00000000e+00 +0.00000000e+00j]\n",
       " [ -5.45196704e-03 -9.40858646e-05j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   2.82702208e-03 +3.68486949e-05j\n",
       "   -2.03753012e-03 -2.00611164e-05j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   9.08639336e-04 +7.11102198e-06j\n",
       "   -5.24236225e-04 -2.36104896e-06j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   2.20276827e-04 +0.00000000e+00j\n",
       "   -1.07661818e-04 +7.29823403e-07j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   3.94759567e-05 -5.13462930e-07j\n",
       "   -1.54140160e-05 +3.11433467e-07j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   4.34157951e-06 -1.17423485e-07j]\n",
       " [  1.69510288e-03 +3.62277167e-05j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -9.23911590e-04 -1.49026826e-05j\n",
       "    6.73182797e-04 +8.71998458e-06j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -3.23693861e-04 -3.97992101e-06j\n",
       "    2.18714081e-04 +2.36414904e-06j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -1.07661818e-04 -7.29823403e-07j\n",
       "    6.32479546e-05 +0.00000000e+00j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -2.64717681e-05 +1.78178449e-07j\n",
       "    1.17156138e-05 -1.78061684e-07j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -3.57129652e-06 +8.25816846e-08j]\n",
       " [  0.00000000e+00 +0.00000000e+00j   6.51317977e-04 +8.23328293e-06j\n",
       "   -9.90930828e-04 -2.64185678e-05j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   6.78661672e-04 +1.60569190e-05j\n",
       "   -5.96918652e-04 -1.04721978e-05j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   3.02036384e-04 +3.70053047e-06j\n",
       "   -1.77289692e-04 -1.05197553e-06j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   7.38668003e-05 +0.00000000e+00j\n",
       "   -3.42466854e-05 +2.61274338e-07j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   1.20338677e-05 -1.76892938e-07j\n",
       "   -4.08565783e-06 +9.43317289e-08j   0.00000000e+00 +0.00000000e+00j]\n",
       " [  0.00000000e+00 +0.00000000e+00j  -1.96843333e-04 -2.39688527e-06j\n",
       "    2.87805016e-04 +9.45033292e-06j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -2.22845454e-04 -6.72458525e-06j\n",
       "    2.12768082e-04 +4.95750869e-06j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -1.14206145e-04 -2.09338863e-06j\n",
       "    7.34035738e-05 +9.65365569e-07j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -3.42466854e-05 -2.61274338e-07j\n",
       "    1.87678525e-05 +0.00000000e+00j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -7.51194835e-06 +5.45408845e-08j\n",
       "    2.86453113e-06 -4.60358350e-08j   0.00000000e+00 +0.00000000e+00j]\n",
       " [ -4.27510005e-04 -1.07283714e-05j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   2.45745116e-04 +4.65523782e-06j\n",
       "   -1.76430289e-04 -2.68757956e-06j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   9.10774794e-05 +1.50555159e-06j\n",
       "   -7.07995428e-05 -1.17823740e-06j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   3.94759567e-05 +5.13462930e-07j\n",
       "   -2.64717681e-05 -1.78178449e-07j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   1.25407964e-05 +0.00000000e+00j\n",
       "   -6.26661219e-06 +5.40222210e-08j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   2.06319488e-06 -3.41364383e-08j]\n",
       " [  1.13614630e-04 +3.32830054e-06j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -7.02322440e-05 -1.57154957e-06j\n",
       "    4.79757546e-05 +8.21218750e-07j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -2.70648140e-05 -6.00977697e-07j\n",
       "    2.45359996e-05 +5.73514145e-07j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -1.54140160e-05 -3.11433467e-07j\n",
       "    1.17156138e-05 +1.78061684e-07j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -6.26661219e-06 -5.40222210e-08j\n",
       "    3.76905932e-06 +0.00000000e+00j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -1.35988071e-06 +9.78458363e-09j]\n",
       " [  0.00000000e+00 +0.00000000e+00j   4.92740780e-05 +5.79792078e-07j\n",
       "   -6.82514388e-05 -2.62828687e-06j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   5.96698421e-05 +2.15668372e-06j\n",
       "   -6.01342411e-05 -1.68019035e-06j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   3.36615957e-05 +7.90187305e-07j\n",
       "   -2.33297172e-05 -4.59688297e-07j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   1.20338677e-05 +1.76892938e-07j\n",
       "   -7.51194835e-06 -5.45408845e-08j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   3.46593822e-06 +0.00000000e+00j\n",
       "   -1.44375407e-06 +1.21732270e-08j   0.00000000e+00 +0.00000000e+00j]\n",
       " [  0.00000000e+00 +0.00000000e+00j  -1.23652748e-05 -1.51488608e-07j\n",
       "    1.59187366e-05 +7.13896135e-07j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -1.59461852e-05 -6.80940361e-07j\n",
       "    1.66783873e-05 +5.44727212e-07j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -9.66067177e-06 -2.82554576e-07j\n",
       "    7.19340505e-06 +1.96961220e-07j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -4.08565783e-06 -9.43317289e-08j\n",
       "    2.86453113e-06 +4.60358350e-08j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j  -1.44375407e-06 -1.21732270e-08j\n",
       "    7.64866413e-07 +0.00000000e+00j   0.00000000e+00 +0.00000000e+00j]\n",
       " [ -2.43530912e-05 -8.04586637e-07j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   1.60975918e-05 +4.19854252e-07j\n",
       "   -1.03334609e-05 -2.01964185e-07j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   6.30839600e-06 +1.83964506e-07j\n",
       "   -6.40874153e-06 -1.91504890e-07j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   4.34157951e-06 +1.17423485e-07j\n",
       "   -3.57129652e-06 -8.25816846e-08j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   2.06319488e-06 +3.41364383e-08j\n",
       "   -1.35988071e-06 -9.78458363e-09j   0.00000000e+00 +0.00000000e+00j\n",
       "    0.00000000e+00 +0.00000000e+00j   6.14783521e-07 +0.00000000e+00j]]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==================== Steadystate expectation values\n",
      "R_ob:  [0.267645307720865, 0.1560205514129042]\n",
      "R_eb:  [0.267645307720865, 0.1560205514129042]\n",
      "L   :  [0.4465560981540205, 0.22225842348795147]\n",
      "==================== Dynamics final states\n",
      "R:  [0.26764721566971927, 0.15602106817515593]\n",
      "L:  [0.44662603050034932, 0.22228388401493518]\n"
     ]
    }
   ],
   "source": [
    "solve(H, psi0, c_ops, a_ops, e_ops)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Versions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table><tr><th>Software</th><th>Version</th></tr><tr><td>QuTiP</td><td>4.2.0</td></tr><tr><td>Numpy</td><td>1.13.1</td></tr><tr><td>SciPy</td><td>0.19.1</td></tr><tr><td>matplotlib</td><td>2.0.2</td></tr><tr><td>Cython</td><td>0.25.2</td></tr><tr><td>Number of CPUs</td><td>2</td></tr><tr><td>BLAS Info</td><td>INTEL MKL</td></tr><tr><td>IPython</td><td>6.1.0</td></tr><tr><td>Python</td><td>3.6.1 |Anaconda custom (x86_64)| (default, May 11 2017, 13:04:09) \n",
       "[GCC 4.2.1 Compatible Apple LLVM 6.0 (clang-600.0.57)]</td></tr><tr><td>OS</td><td>posix [darwin]</td></tr><tr><td colspan='2'>Wed Jul 19 22:06:57 2017 MDT</td></tr></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qutip.ipynbtools import version_table\n",
    "\n",
    "version_table()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}