{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# QuTiP example: Trilinear Oscillator Coupling" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "J.R. Johansson and P.D. Nation\n", "\n", "For more information about QuTiP see [http://qutip.org](http://qutip.org)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "%pylab inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from qutip import *\n", "import time" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "time elapsed = 13.138076066970825\n" ] } ], "source": [ "#number of states for each mode\n", "N0=8\n", "N1=8\n", "N2=8\n", "K=1.0\n", "#damping rates\n", "gamma0=0.1\n", "gamma1=0.1\n", "gamma2=0.4\n", "alpha=sqrt(3)#initial coherent state param for mode 0\n", "epsilon=0.5j #sqeezing parameter\n", "tfinal=4.0\n", "dt=0.05\n", "tlist=arange(0.0,tfinal+dt,dt)\n", "taulist=K*tlist #non-dimensional times\n", "ntraj=100#number of trajectories\n", "#define operators\n", "a0=tensor(destroy(N0),qeye(N1),qeye(N2))\n", "a1=tensor(qeye(N0),destroy(N1),qeye(N2))\n", "a2=tensor(qeye(N0),qeye(N1),destroy(N2))\n", "#number operators for each mode\n", "num0=a0.dag()*a0\n", "num1=a1.dag()*a1\n", "num2=a2.dag()*a2\n", "#dissipative operators for zero-temp. baths\n", "C0=sqrt(2.0*gamma0)*a0\n", "C1=sqrt(2.0*gamma1)*a1\n", "C2=sqrt(2.0*gamma2)*a2\n", "#initial state: coherent mode 0 & vacuum for modes #1 & #2\n", "vacuum=tensor(basis(N0,0),basis(N1,0),basis(N2,0))\n", "D=(alpha*a0.dag()-conj(alpha)*a0).expm()\n", "psi0=D*vacuum\n", "#trilinear Hamiltonian\n", "H=1j*K*(a0*a1.dag()*a2.dag()-a0.dag()*a1*a2)\n", "#run Monte-Carlo\n", "start_time=time.time()\n", "#avg=mcsolve(H,psi0,taulist,ntraj,[C0,C1,C2],[num0,num1,num2])\n", "output=mesolve(H,psi0,taulist,[C0,C1,C2],[num0,num1,num2])\n", "avg=output.expect\n", "finish_time=time.time()\n", "print('time elapsed = ',finish_time-start_time)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAEKCAYAAAD9xUlFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#plot expectation value for photon number in each mode\n", "plot(taulist,avg[0],taulist,avg[1],taulist,avg[2])\n", "xlabel(\"Time\")\n", "ylabel(\"Average number of particles\")\n", "legend(('Mode 0', 'Mode 1','Mode 2'));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Deviation form thermal" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "from qutip import *\n", "from pylab import *\n", "import time\n", "from mpl_toolkits.mplot3d import Axes3D\n", "from matplotlib import cm\n", "#number of states for each mode\n", "N0=6\n", "N1=6\n", "N2=6\n", "\n", "#define operators\n", "a0=tensor(destroy(N0),qeye(N1),qeye(N2))\n", "a1=tensor(qeye(N0),destroy(N1),qeye(N2))\n", "a2=tensor(qeye(N0),qeye(N1),destroy(N2))\n", "\n", "#number operators for each mode\n", "num0=a0.dag()*a0\n", "num1=a1.dag()*a1\n", "num2=a2.dag()*a2\n", "\n", "#initial state: coherent mode 0 & vacuum for modes #1 & #2\n", "alpha=sqrt(2)#initial coherent state param for mode 0\n", "initial=tensor(coherent(N0,alpha),basis(N1,0),basis(N2,0))\n", "psi0=initial\n", "\n", "#trilinear Hamiltonian\n", "H=1.0j*(a0*a1.dag()*a2.dag()-a0.dag()*a1*a2)\n", "\n", "\n", "#run Monte-Carlo\n", "tlist=linspace(0,2.5,50)\n", "output=mcsolve(H,psi0,tlist,[],[],1)\n", "\n", "mode1=[ptrace(k,1) for k in output.states]\n", "diags1=[real(k.diag()) for k in mode1]\n", "num1=[expect(num1,k) for k in output.states]\n", "thermal=[thermal_dm(N1,k).diag() for k in num1]" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlUAAAHFCAYAAADbiAxsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "colors=['m', 'g','orange','b', 'y','pink']\n", "x=range(N1)\n", "params = {'axes.labelsize': 14,'font.size': 14,'legend.fontsize': 12,\n", " 'xtick.labelsize': 14,'ytick.labelsize': 14}\n", "rcParams.update(params)\n", "fig = plt.figure(figsize=(8,6))\n", "ax = Axes3D(fig)\n", "for j in range(5):\n", " ax.bar(x, diags1[10*j], zs=tlist[10*j], zdir='y',color=colors[j],linewidth=1.0,\n", " alpha=0.6,align='center')\n", " ax.plot(x,thermal[10*j],zs=tlist[10*j],zdir='y',color='r',linewidth=3,alpha=1)\n", "ax.set_zlabel(r'Probability')\n", "ax.set_xlabel(r'Number State')\n", "ax.set_ylabel(r'Time')\n", "ax.set_zlim3d(0, 1);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Software version:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
SoftwareVersion
QuTiP4.3.0.dev0+6e5b1d43
Numpy1.13.1
SciPy0.19.1
matplotlib2.0.2
Cython0.25.2
Number of CPUs2
BLAS InfoINTEL MKL
IPython6.1.0
Python3.6.2 |Anaconda custom (x86_64)| (default, Jul 20 2017, 13:14:59) \n", "[GCC 4.2.1 Compatible Apple LLVM 6.0 (clang-600.0.57)]
OSposix [darwin]
Thu Jul 20 23:01:49 2017 MDT
" ], "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qutip.ipynbtools import version_table\n", "\n", "version_table()" ] } ], "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": "3.6.2" } }, "nbformat": 4, "nbformat_minor": 1 }