{ "metadata": { "name": "qutip-notebook-example-1" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# QuTiP example: Vacuum Rabi oscillations in the Jaynes-Cummings model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "J.R. Johansson and P.D. Nation\n", "\n", "This ipython notebook demonstrates how to simulate the quantum vacuum rabi oscillations in the Jaynes-Cumming model, using QuTiP: The Quantum Toolbox in Python.\n", "\n", "For more information about QuTiP see project web page: http://code.google.com/p/qutip/" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# import the required python packages\n", "\n", "%pylab inline\n", "\n", "from qutip import *" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Welcome to pylab, a matplotlib-based Python environment [backend: module://IPython.zmq.pylab.backend_inline].\n", "For more information, type 'help(pylab)'.\n" ] } ], "prompt_number": 27 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Introduction\n", "\n", "The Jaynes-Cumming model is the simplest possible model of quantum mechanical light-matter interaction, describing a single two-level atom interacting with a single electromagnetic cavity mode. The Hamiltonian for this system is (in dipole interaction form)\n", "\n", "$H = \\hbar \\omega_c a^\\dagger a + \\frac{1}{2}\\hbar\\omega_a\\sigma_z + \\hbar g(a^\\dagger + a)(\\sigma_- + \\sigma_+)$\n", "\n", "or with the rotating-wave approximation\n", "\n", "$H_{\\rm RWA} = \\hbar \\omega_c a^\\dagger a + \\frac{1}{2}\\hbar\\omega_a\\sigma_z + \\hbar g(a^\\dagger\\sigma_- + a\\sigma_+)$\n", "\n", "where $\\omega_c$ and $\\omega_a$ are the frequencies of the cavity and atom, respectively, and $g$ is the interaction strength." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Problem parameters\n", "\n", "\n", "Here we use units where $\\hbar = 1$: " ] }, { "cell_type": "code", "collapsed": false, "input": [ "wc = 1.0 * 2 * pi # cavity frequency\n", "wa = 1.0 * 2 * pi # atom frequency\n", "g = 0.05 * 2 * pi # coupling strength\n", "kappa = 0.005 # cavity dissipation rate\n", "gamma = 0.05 # atom dissipation rate\n", "N = 15 # number of cavity fock states\n", "n_th_a = 0.0 # temperature in frequency units\n", "use_rwa = True\n", "\n", "tlist = linspace(0,25,100)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 28 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Setup the operators, the Hamiltonian and initial state" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# intial state\n", "psi0 = tensor(basis(N,0), basis(2,1)) # start with an excited atom\n", "\n", "# operators\n", "a = tensor(destroy(N), qeye(2))\n", "sm = tensor(qeye(N), destroy(2))\n", "\n", "# Hamiltonian\n", "if use_rwa:\n", " H = wc * a.dag() * a + wa * sm.dag() * sm + g * (a.dag() * sm + a * sm.dag())\n", "else:\n", " H = wc * a.dag() * a + wa * sm.dag() * sm + g * (a.dag() + a) * (sm + sm.dag())" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 29 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Create a list of collapse operators that describe the dissipation" ] }, { "cell_type": "code", "collapsed": false, "input": [ "c_op_list = []\n", "\n", "rate = kappa * (1 + n_th_a)\n", "if rate > 0.0:\n", " c_op_list.append(sqrt(rate) * a)\n", "\n", "rate = kappa * n_th_a\n", "if rate > 0.0:\n", " c_op_list.append(sqrt(rate) * a.dag())\n", "\n", "rate = gamma\n", "if rate > 0.0:\n", " c_op_list.append(sqrt(rate) * sm)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 30 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Evolve the system\n", "\n", "Here we evolve the system with the Lindblad master equation solver, and we request that the expectation values of the operators $a^\\dagger a$ and $\\sigma_+\\sigma_-$ are returned by the solver by passing the list `[a.dag()*a, sm.dag()*sm]` as the fifth argument to the solver." ] }, { "cell_type": "code", "collapsed": false, "input": [ "output = mesolve(H, psi0, tlist, c_op_list, [a.dag() * a, sm.dag() * sm])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 31 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualize the results\n", "\n", "Here we plot the excitation probabilities of the cavity and the atom (these expectation values were calculated by the `mesolve` above). We can clearly see how energy is being coherently transferred back and forth between the cavity and the atom." ] }, { "cell_type": "code", "collapsed": false, "input": [ "figure(figsize=(8,5))\n", "plot(tlist, output.expect[0], label=\"Cavity\")\n", "plot(tlist, output.expect[1], label=\"Atom excited state\")\n", "legend()\n", "xlabel('Time')\n", "ylabel('Occupation probability')\n", "title('Vacuum Rabi oscillations')\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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hZvbffjfaOCwh8WkipX8ozZ2RdyhiVkSjZetSQgL4+sLVq/IGMLq0ZIn8I5K6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