{ "metadata": { "name": "development-mesolve-and-liouvillians" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Demonstrate how to pass liouvillians to the mesolve\n", "\n", "This notebook demonstrates how the mesolve solver can be used in different ways to solve the same problem, by passing a Hamiltonian and list of collapse operators, or by manually creating the Liouvillian and pass it to the solver in place of the Hamiltonian or collapse operators. These methods can be used to solve master equations that are not on standard Linblad form." ] }, { "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": "markdown", "metadata": {}, "source": [ "### Visualization of the mesolve results" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def visualize(result):\n", " fig, ax = subplots(1, 1, figsize=(8,5))\n", " \n", " for e in result.expect:\n", " ax.plot(result.times, e)\n", "\n", " ax.set_xlabel('Time')\n", " ax.set_ylabel('Occupation probability')\n", " ax.set_ylim(0, 1)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Parameters" ] }, { "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", "tlist = linspace(0,25,100)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Operators and initial states" ] }, { "cell_type": "code", "collapsed": false, "input": [ "psi0 = tensor(basis(N,0), basis(2,1))\n", "a = tensor(destroy(N), qeye(2))\n", "sm = tensor(qeye(N), destroy(2))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Standard method" ] }, { "cell_type": "code", "collapsed": false, "input": [ "H = wc * a.dag() * a + wa * sm.dag() * sm + g * (a.dag() * sm + a * sm.dag())\n", "\n", "c_ops = [sqrt(kappa) * a, sqrt(gamma) * sm]\n", "\n", "result = mesolve(H, psi0, tlist, c_ops, [a.dag() * a, sm.dag() * sm])\n", "\n", "visualize(result)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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Mu4l9t/ZxOi4hRLtQQn9JT+ueOJOpOmej79rFerfrqt5OOpksLQEnJ3asqrqTSCSYc3gO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\n9IT1t79JZ1dKDt8+jPmn5+Pa59dgYiR9L9vpR6bDSGWEtV4yKWcQidu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FwB06h8PhcDgK\ngDt0DofD4XAUwP8BI6zjka32SGQAAAAASUVORK5CYII=\n" } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Passing a liouvillian instead of an Hamiltonian\n", "\n", "The Hamiltonian and the collapse operators are used to contruct a Liouvillian, which is passed to mesolve in place of the Hamiltonian (and with no collapse operators) " ] }, { "cell_type": "code", "collapsed": false, "input": [ "H = wc * a.dag() * a + wa * sm.dag() * sm + g * (a.dag() * sm + a * sm.dag())\n", "c_ops = [sqrt(kappa) * a, sqrt(gamma) * sm]\n", "\n", "L = liouvillian(H, c_ops)\n", "\n", "result = mesolve(L, psi0, tlist, [], [a.dag() * a, sm.dag() * sm])\n", "\n", "visualize(result)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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Mu4l9t/ZxOi4hRLtQQn9JT+ueOJOpOmej79rFerfrqt5OOpksLQEnJ3asqrqTSCSYc3gO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\n9IT1t79JZ1dKDt8+jPmn5+Pa59dgYiR9L9vpR6bDSGWEtV4yKWcQidu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FwB06h8PhcDgK\ngDt0DofD4XAUwP8BI6zjka32SGQAAAAASUVORK5CYII=\n" } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Pass liouvillian instead of collapse operators\n", "\n", "Works with list-function and list-string time-dependencies too:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "H = wc * a.dag() * a + wa * sm.dag() * sm + g * (a.dag() * sm + a * sm.dag())\n", "c_ops = [sqrt(kappa) * a, sqrt(gamma) * sm]\n", "\n", "L = liouvillian(None, c_ops)\n", "\n", "result = mesolve(H, psi0, tlist, [[L, '1.0']], [a.dag() * a, sm.dag() * sm])\n", "\n", "visualize(result)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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Mu4l9t/ZxOi4hRLtQQn9JT+ueOJOpOmej79rFerfrqt5OOpksLQEnJ3asqrqTSCSYc3gO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\n9IT1t79JZ1dKDt8+jPmn5+Pa59dgYiR9L9vpR6bDSGWEtV4yKWcQidu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FwB06h8PhcDgK\ngDt0DofD4XAUwP8BI6zjka32SGQAAAAASUVORK5CYII=\n" } ], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "H = wc * a.dag() * a + wa * sm.dag() * sm + g * (a.dag() * sm + a * sm.dag())\n", "c_ops = [sqrt(kappa) * a, sqrt(gamma) * sm]\n", "\n", "L = liouvillian(None, c_ops)\n", "\n", "result = mesolve(H, psi0, tlist, [[L, lambda t, args: 1.0]], [a.dag() * a, sm.dag() * sm])\n", "\n", "visualize(result)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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Mu4l9t/ZxOi4hRLtQQn9JT+ueOJOpOmej79rFerfrqt5OOpksLQEnJ3asqrqTSCSYc3gO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\n9IT1t79JZ1dKDt8+jPmn5+Pa59dgYiR9L9vpR6bDSGWEtV4yKWcQidu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FwB06h8PhcDgK\ngDt0DofD4XAUwP8BI6zjka32SGQAAAAASUVORK5CYII=\n" } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Liouvillian instead of a list of collapse operators" ] }, { "cell_type": "code", "collapsed": false, "input": [ "H = wc * a.dag() * a + wa * sm.dag() * sm + g * (a.dag() * sm + a * sm.dag())\n", "c_ops = [sqrt(kappa) * a, sqrt(gamma) * sm]\n", "\n", "L = liouvillian(None, c_ops)\n", "\n", "result = mesolve(H, psi0, tlist, L, [a.dag() * a, sm.dag() * sm])\n", "\n", "visualize(result)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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Mu4l9t/ZxOi4hRLtQQn9JT+ueOJOpOmej79rFerfrqt5OOpksLQEnJ3asqrqTSCSYc3gO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\n9IT1t79JZ1dKDt8+jPmn5+Pa59dgYiR9L9vpR6bDSGWEtV4yKWcQidu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FwB06h8PhcDgK\ngDt0DofD4XAUwP8BI6zjka32SGQAAAAASUVORK5CYII=\n" } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Mix normal collapse operators and Liouvillians, passed as the collapse-operator argument" ] }, { "cell_type": "code", "collapsed": false, "input": [ "H = wc * a.dag() * a + wa * sm.dag() * sm + g * (a.dag() * sm + a * sm.dag())\n", "c_ops = [sqrt(kappa) * a, liouvillian(None, [sqrt(gamma) * sm])]\n", "\n", "result = mesolve(H, psi0, tlist, c_ops, [a.dag() * a, sm.dag() * sm])\n", "\n", "visualize(result)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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Mu4l9t/ZxOi4hRLtQQn9JT+ueOJOpOmej79rFerfrqt5OOpksLQEnJ3asqrqTSCSYc3gO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\n9IT1t79JZ1dKDt8+jPmn5+Pa59dgYiR9L9vpR6bDSGWEtV4yKWcQidu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FwB06h8PhcDgK\ngDt0DofD4XAUwP8BI6zjka32SGQAAAAASUVORK5CYII=\n" } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Make a custom non-standard Liouvillian" ] }, { "cell_type": "code", "collapsed": false, "input": [ "psi0 = tensor(basis(N,0), basis(2,1)) # start with an excited atom\n", "\n", "a = tensor(destroy(N), qeye(2))\n", "sm = tensor(qeye(N), destroy(2))\n", "\n", "H = wc * a.dag() * a + wa * sm.dag() * sm + g * (a.dag() * sm + a * sm.dag())\n", "c_ops = [sqrt(kappa) * a, sqrt(gamma) * sm]\n", "\n", "L = sum([spre(c)*spost(c.dag()) - 0.25 * spre(c.dag()*c) - 0.5 * spost(c.dag()*c) for c in c_ops])\n", "\n", "result = mesolve(H, psi0, tlist, L, [a.dag() * a, sm.dag() * sm])\n", "\n", "visualize(result)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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6xt0daGoCbqn4zPHNsptIupOERcO4u0ZOS0ML7/u+j3WX1nHWJ0EQqo8k9L8p6zq6ZHSu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\naRxS76QipyyHmYbIzEi4W7vLfmiFLkybBpw5I4/kuNWraTmSiUKCIR8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vvYWJEycC4HtZ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\nYGXmSQIAAAAASUVORK5CYII=\n" } ], "prompt_number": 12 }, { "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-793af74
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 18 16:06:16 2013
" ], "output_type": "pyout", "prompt_number": 13, "text": [ "" ] } ], "prompt_number": 13 } ], "metadata": {} } ] }