{ "metadata": { "name": "development-floquet-test" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# QuTiP development notebook for floquet and floquet-markov evolution\n", "\n", "Copyright (C) 2011 and later, Paul D. Nation & Robert J. Johansson" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "from qutip import *" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "import time" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Functions for solving and visualizing the dynamics of driven quantum systems with different solvers" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def solve_dynamics(H, args, psi0, tlist, T, c_ops, e_ops, fc_ops, J_cbs):\n", " \"\"\"\n", " Solve the dynamics for a quantum system with a bunch of different solvers\n", " and return the results. The idea is that the results should be quite similar,\n", " even though some differences can be expected due to the different situation\n", " (approximations) the different solvers are applicable for. Also, some solvers\n", " here solve for unitary evolution and some the dissipative evolution, so\n", " depending on the values c_ops and fc_ops the dynamics can be very different.\n", " \"\"\"\n", " \n", " sol_list = []\n", " \n", " #\n", " # Solve with unitary floquet solver by going through all steps manually\n", " #\n", " sol = Odedata()\n", " sol.times = tlist\n", " sol.solver = \"Floquet WF\"\n", " sol.expect = zeros((len(e_ops), len(tlist)))\n", "\n", " f_modes_0, f_energies = floquet_modes(H, T, args)\n", " f_coeff = floquet_state_decomposition(f_modes_0, f_energies, psi0)\n", " f_modes_table_t = floquet_modes_table(f_modes_0, f_energies, tlist, H, T, args)\n", "\n", " for n, t in enumerate(tlist):\n", " f_modes_t = floquet_modes_t_lookup(f_modes_table_t, t, T)\n", " psi_t = floquet_wavefunction(f_modes_t, f_energies, f_coeff, t)\n", " for e_idx, e in enumerate(e_ops):\n", " sol.expect[e_idx, n] = expect(e, psi_t)\n", " sol_list.append(sol)\n", "\n", " #\n", " # Use fsesolve to do the same as above with a single function call\n", " #\n", " sol = fsesolve(H, psi0, tlist, e_ops, T, args)\n", " sol_list.append(sol)\n", " \n", " #\n", " # Solve the floquet-markov master equation by requesting density matrices,\n", " # and then loop through the states and calculate the expectation values.\n", " # Do this with and without asking the solver to transform states back to the\n", " # computational basis.\n", " #\n", " sol = fmmesolve(H, psi0, tlist, fc_ops, [], J_cbs, T, args, floquet_basis=True)\n", " sol.solver = \"Floquet ME states #1\"\n", " sol.expect = zeros((len(e_ops), len(tlist)))\n", " for n, t in enumerate(sol.times):\n", " f_modes_t = floquet_modes_t_lookup(f_modes_table_t, t, T)\n", " for e_idx, e in enumerate(e_ops):\n", " sol.expect[e_idx, n] = expect(e, sol.states[n].transform(f_modes_t, False))\n", " sol_list.append(sol)\n", "\n", " sol = fmmesolve(H, psi0, tlist, fc_ops, [], J_cbs, T, args, floquet_basis=False)\n", " sol.solver = \"Floquet ME states #2\"\n", " sol.expect = zeros((len(e_ops), len(tlist)))\n", " for n, t in enumerate(sol.times):\n", " for e_idx, e in enumerate(e_ops):\n", " sol.expect[e_idx, n] = expect(e, sol.states[n])\n", " sol_list.append(sol)\n", " \n", " #\n", " # Solve the floquet-markov master equation by requesting expectation values\n", " #\n", " sol = fmmesolve(H, psi0, tlist, fc_ops, e_ops, J_cbs, T, args)\n", " sol_list.append(sol)\n", "\n", " # \n", " # Solve with mesolve\n", " #\n", " sol = mesolve(H, psi0, tlist, c_ops, e_ops, args)\n", " sol_list.append(sol)\n", "\n", " return sol_list" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "def visualize_solutions(sol_list, split=False):\n", "\n", " if split:\n", " fig, axes = subplots(len(sol_list), 1, figsize=(12, 3 * len(sol_list)), squeeze=False)\n", " else:\n", " fig, axes = subplots(1, 1, figsize=(12, 6), squeeze=False)\n", " \n", " for idx, sol in enumerate(sol_list):\n", " if not split:\n", " idx = 0\n", "\n", " for e_idx, e in enumerate(sol.expect):\n", " axes[idx,0].plot(sol.times, real(e), label=\"%s e_%d\" % (sol.solver, e_idx))\n", "\n", " axes[idx,0].set_xlabel('Time')\n", " axes[idx,0].set_ylabel('Occupation probability')\n", " axes[idx,0].legend(loc=0)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Single atom rabi oscillations with classical drive" ] }, { "cell_type": "code", "collapsed": false, "input": [ "delta = 0.45 * 2*pi\n", "eps0 = 1.0 * 2*pi\n", "A = 0.3 * 2*pi\n", "omega = sqrt(delta**2 + eps0**2)\n", "T = (2*pi)/omega\n", "tlist = linspace(0.0, 10 * T, 501)\n", "psi0 = rand_ket(2)\n", "\n", "H0 = - eps0/2.0 * sigmaz() - delta/2.0 * sigmax()\n", "H1 = A/2.0 * sigmax()\n", "args = {'w': omega}\n", "H = [H0, [H1, lambda t,args: sin(args['w'] * t)]]\n", "\n", "gamma1 = 0.005\n", "def noise_spectrum(omega):\n", " return 0.25 * gamma1 * omega /(2*pi)\n", "\n", "c_ops = [sqrt(gamma1) * sigmam()]\n", "e_ops = [num(2)]\n", "fc_ops = [sigmax()]\n", "J_cbs = [noise_spectrum]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "t = time.time()\n", "sol_list = solve_dynamics(H, args, psi0, tlist, T, c_ops, e_ops, fc_ops, J_cbs)\n", "print \"elapsed =\", time.time() - t" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "-c:50: ComplexWarning: Casting complex values to real discards the imaginary part\n", "-c:58: ComplexWarning: Casting complex values to real discards the imaginary part\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "elapsed = 69.7039148808\n" ] } ], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "visualize_solutions(sol_list)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAtMAAAF6CAYAAADbD9SKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n" } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Same thing with str-list time-dependent format, and stronger dissipation" ] }, { "cell_type": "code", "collapsed": false, "input": [ "H = [H0, [H1, \"sin(w * t)\"]]\n", "\n", "gamma1 = 0.075\n", "def noise_spectrum(omega):\n", " return 0.25 * gamma1 * omega /(2*pi)\n", "\n", "J_cbs = [noise_spectrum]\n", "c_ops = [sqrt(gamma1) * sigmam()]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "t = time.time()\n", "sol_list = solve_dynamics(H, args, psi0, tlist, T, c_ops, e_ops, fc_ops, J_cbs)\n", "print \"elapsed =\", time.time() - t" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "elapsed = 72.7279648781\n" ] } ], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "visualize_solutions(sol_list)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAtMAAAF6CAYAAADbD9SKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIWro/wEGwZN5aSUEmAAAAABJRU5ErkJggg==\n" } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### JC off resonant with driving" ] }, { "cell_type": "code", "collapsed": false, "input": [ "delta = 0.0 * 2*pi\n", "eps0 = 1.0 * 2*pi\n", "A = 0.4 * 2*pi\n", "w0 = 2.0 * 2 * pi\n", "g = 0.15 * 2 * pi\n", "\n", "omega = w0 - sqrt(delta**2 + eps0**2)\n", "T = (2*pi)/omega\n", "tlist = linspace(0.0, 10 * T, 1001)\n", "N = 2\n", "a = tensor(destroy(N), qeye(2))\n", "sx = tensor(qeye(N), sigmax())\n", "sz = tensor(qeye(N), sigmaz())\n", "sn = tensor(qeye(N), num(2))\n", "sm = tensor(qeye(N), destroy(2))\n", "n = a.dag() * a\n", "\n", "psi0 = tensor(basis(N, 1), basis(2,0))\n", "\n", "H0 = w0 * a.dag() * a - eps0/2.0 * sz - delta/2.0 * sx + g * (a + a.dag()) * sx\n", "H1 = A/2.0 * sz\n", "args = {'w': omega}\n", "H = [H0, [H1, lambda t,args: sin(args['w'] * t)]]\n", "\n", "gamma1 = 0.001\n", "def noise_spectrum(omega):\n", " return 0.25 * gamma1 * omega /(2*pi)\n", "\n", "c_ops = [sqrt(gamma1) * sm]\n", "e_ops = [sn, n]\n", "fc_ops = [sx]\n", "J_cbs = [noise_spectrum]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "t = time.time()\n", "sol_list = solve_dynamics(H, args, psi0, tlist, T, c_ops, e_ops, fc_ops, J_cbs)\n", "print \"elapsed =\", time.time() - t" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "elapsed = 267.251783848\n" ] } ], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "visualize_solutions(sol_list)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAtMAAAF6CAYAAADbD9SKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nhRBCCCGEKKH/A/lNVWxIssOLAAAAAElFTkSuQmCC\n" } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Software versions" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from qutip.ipynbtools import version_table\n", "version_table()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
SoftwareVersion
Cython0.16
SciPy0.10.1
QuTiP2.2.0.dev-02eb062
Python2.7.3 (default, Sep 26 2012, 21:51:14) \n", "[GCC 4.7.2]
IPython0.13
OSposix [linux2]
Numpy1.7.0.dev-3f45eaa
matplotlib1.3.x
Mon Feb 25 13:51:33 2013
" ], "output_type": "pyout", "prompt_number": 15, "text": [ "" ] } ], "prompt_number": 15 } ], "metadata": {} } ] }