{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Test the use of e_ops parameter in dictionary form" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Copyright (C) 2011 and later, Paul D. Nation & Robert J. Johansson" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "from scipy import *" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "from qutip import *" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "H = 0.5 * 2 * pi * sigmax()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "psi0 = basis(2, 0)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "tlist = linspace(0, 10, 1000)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "e_ops = [sigmax(), sigmay(), sigmaz()]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "e_ops_dict = {r'$\\sigma_x$': sigmax(), r'$\\sigma_y$': sigmay(), r'$\\sigma_z$': sigmaz()}" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Test mesolve" ] }, { "cell_type": "code", "collapsed": false, "input": [ "c_ops = [sqrt(0.1) * sigmaz()]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "result = mesolve(H, psi0, tlist, c_ops, e_ops)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots(1,1)\n", "\n", "for n, e in enumerate(result.expect):\n", " ax.plot(tlist, e, label=[\"sx\", \"sy\", \"sz\"][n])\n", " \n", "ax.legend();" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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xhJIhuCspnTvAir3jsroQTjGUvsq2TXFPrywyGSAcRll1LWzlNvrmJi1Kf2Ge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\nKFG0c/48Mf4SkJ2Ld+JPF/8EhmHw7xf+HTsX73RdEB4OvPYa8OCDwO9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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "result = mesolve(H, psi0, tlist, c_ops, e_ops_dict)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots(1,1)\n", "\n", "for key, e in result.expect.items():\n", " ax.plot(tlist, e, label=key)\n", " \n", "ax.legend();" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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5kBv3Me0dr3e1G6eusg5eRtumLtI3SOnrKeRKkkTC5xiJo9PTQF1pK2ZCdNLX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\nOL2zdetW7N+/HwCwf/9+PPqov7HQ0NAQBm63zw4ODuKzzz5DhYTDklS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"text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Test sesolve" ] }, { "cell_type": "code", "collapsed": false, "input": [ "result = sesolve(H, psi0, tlist, e_ops)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots(1,1)\n", "\n", "for n, e in enumerate(result.expect):\n", " ax.plot(tlist, e, label=[\"sx\", \"sy\", \"sz\"][n])\n", " \n", "ax.legend();" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "/usr/local/lib/python3.3/dist-packages/numpy/core/numeric.py:460: ComplexWarning: Casting complex values to real discards the imaginary part\n", " return array(a, dtype, copy=False, order=order)\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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ot+rEFRrNBpf0BSJ3vpa3PDu+10LlBs74CIquFwcn6efreeJqA7kcatEgyjR1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"text": [ "" ] } ], "prompt_number": 15 }, { "cell_type": "code", "collapsed": false, "input": [ "result = sesolve(H, psi0, tlist, e_ops_dict)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots(1,1)\n", "\n", "for key, e in result.expect.items():\n", " ax.plot(tlist, e, label=key)\n", " \n", "ax.legend();" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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C1qpM5cXoUS9dJPLYBZne4ZncxXMpFJt6iY6VWsnngZiPrfRliY616immk8Px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\nWQwmA76YPtcZcN90Y3hqeMHGzVz0BaYIWiYtC4qtR2BYjTcJcZhxzsD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"text": [ "" ] } ], "prompt_number": 17 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Test mcsolve" ] }, { "cell_type": "code", "collapsed": false, "input": [ "result = mcsolve(H, psi0, tlist, c_ops, e_ops, ntraj=15, options=Odeoptions(gui=False))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 18 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots(1,1)\n", "\n", "for n, e in enumerate(result.expect):\n", " ax.plot(tlist, e, label=[\"sx\", \"sy\", \"sz\"][n])\n", " \n", "ax.legend();" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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/KU3oDCQPZx3pMwO5fv8UeycZfjpXL/3xtFEASanKnagV4KjIzS6uRl+QofQ1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"text": [ "" ] } ], "prompt_number": 19 }, { "cell_type": "code", "collapsed": false, "input": [ "result = mcsolve(H, psi0, tlist, c_ops, e_ops_dict, ntraj=5, options=Odeoptions(gui=False))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 20 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots(1,1)\n", "\n", "for key, e in result.expect.items():\n", " ax.plot(tlist, e, label=key)\n", " \n", "ax.legend();" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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2+Mb6sZxeriL9s1nT379/P/bv319+fc899+j6vCl55+KLL8axY8cwNTWFXC6H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\n/72aGmDtWnp2AKT8fcI24RC/77q/w7rkdS7nrF0LfP89vVCCTCZDujx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"text": [ "" ] } ], "prompt_number": 21 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }