{ "metadata": { "name": "", "signature": "sha256:a9ff10b4a1f63ab0ea8ebcae45ce5f5df946162daf168e275552482cbc239887" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Lecture 13: Resonance flourescence" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Author: J. R. Johansson (robert@riken.jp), http://dml.riken.jp/~rob/\n", "\n", "The latest version of this [IPython notebook](http://ipython.org/ipython-doc/dev/interactive/htmlnotebook.html) lecture is available at [http://github.com/jrjohansson/qutip-lectures](http://github.com/jrjohansson/qutip-lectures).\n", "\n", "The other notebooks in this lecture series are indexed at [http://jrjohansson.github.com](http://jrjohansson.github.com)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ], "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": [ "## Introduction\n", "\n", "$\\displaystyle H_L = -\\frac{\\Omega}{2}(\\sigma_+ + \\sigma_-)$\n", "\n", "\n", "$\\displaystyle \\frac{d}{dt}\\rho = -i[H_L, \\rho] + \\gamma_0(N+1)\\left(\\sigma_-\\rho(t)\\sigma_+ - \\frac{1}{2}\\sigma_+\\sigma_-\\rho(t) - \\frac{1}{2}\\rho(t)\\sigma_+\\sigma_-\\right) + \\gamma_0 N \\left(\\sigma_+\\rho(t)\\sigma_- - \\frac{1}{2}\\sigma_-\\sigma_+\\rho(t) - \\frac{1}{2}\\rho(t)\\sigma_-\\sigma_+\\right)$\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Problem definition in QuTiP" ] }, { "cell_type": "code", "collapsed": false, "input": [ "Omega = 1.0 * 2 * pi" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "gamma0 = 0.05\n", "w_th = 0.0 \n", "N = n_thermal(Omega, w_th)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "def system_spec(Omega, gamma0, N):\n", " HL = -0.5 * Omega * (sigmap() + sigmam())\n", " c_ops = [sqrt(gamma0 * (N + 1)) * sigmam(), sqrt(gamma0 * N) * sigmap()]\n", " return HL, c_ops" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "HL, c_ops = system_spec(Omega, gamma0, N)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "e_ops = [sigmax(), sigmay(), sigmaz(), sigmam(), sigmap(), num(2)]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "psi0 = basis(2, 0)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "tlist = np.linspace(0, 20/(2*pi), 200)\n", "result = mesolve(HL, psi0, tlist, c_ops, e_ops)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(2, 1, figsize=(12, 6), sharex=True)\n", "\n", "axes[0].plot(result.times, result.expect[0], 'r', label=r'$\\langle\\sigma_x\\rangle$')\n", "axes[0].plot(result.times, result.expect[1], 'g', label=r'$\\langle\\sigma_y\\rangle$')\n", "axes[0].plot(result.times, result.expect[2], 'b', label=r'$\\langle\\sigma_z\\rangle$')\n", "axes[0].legend()\n", "axes[0].set_ylim(-1, 1);\n", "\n", "\n", "axes[1].plot(result.times, result.expect[5], 'b', label=r'$P_e$')\n", "\n", "#axes[1].set_ylabel(r'$\\langle\\sigma_z\\rangle$', fontsize=16)\n", "axes[1].set_xlabel(\"time\", fontsize=16)\n", "axes[1].legend()\n", "axes[1].set_ylim(0, 1);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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KCoK5uTl69+6Ne/fuKTLlV0l4n4C/bv+FWa1nFel1c+dSH0Yebbia6jeFtYE1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\nR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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots(1, 1, figsize=(12, 6), sharex=True)\n", "\n", "\n", "for idx, gamma0 in enumerate([0.1 * Omega, 0.5 * Omega, 1.0 * Omega]):\n", "\n", " HL, c_ops = system_spec(Omega, gamma0, N)\n", " result = mesolve(HL, psi0, tlist, c_ops, e_ops)\n", "\n", " ax.plot(result.times, result.expect[5], 'b', label=r'$\\langle\\sigma_z\\rangle$')\n", "\n", "ax.set_ylim(0, 1);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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tMGaM9HwfOVIuwlwVGgp8+KEsMnzyiSTX/NlGvo5JMYCDB6Wf6LFj2l7XqZMM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\nHVtHh7MfLOuJAQAAkCpX3PIJlk4AAAAg1SbE8onTp53HBQW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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots(1, 1, figsize=(12, 6), sharex=True)\n", "\n", "\n", "for idx, gamma0 in enumerate([0.1 * Omega, 0.5 * Omega, 1.0 * Omega]):\n", "\n", " HL, c_ops = system_spec(Omega, gamma0, N)\n", " result = mesolve(HL, psi0, tlist, c_ops, e_ops)\n", "\n", " ax.plot(result.times, imag(result.expect[4]), label=r'im $\\langle\\sigma_+\\rangle$')\n", "\n", "ax.set_ylim(-.5, 0.5);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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MODADm3psQolcJdJ9fVt7+BDImxe4fFnKNYgyat06YNAg4MgRIGtW2147OhqoWBGYNw94\nxnNhIiIi3SkZo121alWcPHkS586dQ3x8PBYuXIi2bds+8ZgLFy4gJCQEc+fOTTVhzozUdprvPLyD\nVvNaYUj1Ic9MmAH5RxtZZyTeqPEGgucE48ytM5rFpzUvL3mSsHOn6kjIHsXEAK+/Dnz/ve0TZgDI\nnRuYORPo3ZuDT4iIyD5ZtdMMAOvWrcOwYcNgNpvRp08fvP3225jxz+m8/v37o2/fvli2bBmKFy8O\nAHB3d8fevXufDiQDWf+NG0CZMrJ75frYWb54czxemP8CyuYuiymtpmSofGTG/hkYv3089r22D/mz\n5k/359nSBx9I39vx41VHQvZm1Cjpyzxnjto4eveWOyaTJqmNg4iInFdmd5qtTpq1kpG/wKpVwOTJ\nwIYNT378460fY0fkDqzusjpTnTHe2vgWjl4/ipWdV2Yo4baVTZskcX5GWTjRUyIjgcqVpSyjSBG1\nsVy9KgOJtm0DypdXGwsRETknJeUZquzeDTzWyQ4AcCnmEr7a/RWmtZqW6VZy4xqOw+WYy5i2b5oG\nUWqvVi3g0CEgNlZ1JGRPPvhASjNUJ8wAUKAA8PbbwPDh0jaSiIjIXthl0rxnD1CjxpMfe/ePd9Gv\nSj+U8imV6XU9XD0wv918jN0yFkevHbUySu15ewNBQcCuXaojIXtx5IgMGDFS55XBg4GzZ4E1a1RH\nQkRElH52lzQnJQH79wPVqv37sQOXDiD0VCjerve21euXzVMWE5tMRJclXRBvjrd6Pa01aABs2aI6\nCrIXb78tLzlzqo7kXx4ewNdfS/u7uDjV0RAREaWP3SXNERFAnjxAvnzyvsViwfD1w/FRw4+QwzOH\nJtfoHdQbRXMUxdS9UzVZT0tMmim9tmwBjh4FBgxQHcnTWrQA/P2Bqcb7FiMiIkqR3SXNe/c+OZhh\nZcRK3Im7g95BvTW7hslkwufNPsf47eNx8/5NzdbVQp06wMGDnK5GaRs3DhgzBvD0VB1JysaPBz77\nDLh3T3UkREREabO7pHnPnieT5m/2fIN36r6T6cN/qQnIF4COAR0xbss4Tde1VrZs0n1gzx7VkZCR\n7d0LnDoFdOumOpLUVawINGwIfPut6kiIiIjSZndJ8969/x4CPHb9GI7dOIaX/V/W5Vpjg8di3pF5\niLgRocv6mdWgAaDBNEhyYBMmAP/7H+DurjqSZxs7VkZr376tOhIiIqJns6uk+cEDIDwceO45eX/a\nvmno+1xfeLh66HK9fFnzYXSd0Ri1cZQu62cW65rpWY4dk17effuqjiRt5coBbdoAX36pOhIiIqJn\ns6vhJrt2SbuqAweAe/H3UPyr4jg84DCK5iiqW1xxiXEoP7U85oXMQ+1iKcztVuDOHem5Gx0tnQiI\nHte7t0zMfO891ZGkz7lzMiL++PF/D/gSERHpxSmGmzxezzzv8DwElwzWNWEGAE83T4yuMxqfbv9U\n1+tkRM6ckhT9+afqSMhoLlwAVq4EBg1SHUn6lSwJdOzI3WYiIjI2u0qak+uZLRYLpu6bioHVBtrk\nur2CeuHApQP468pfNrleetSty3Ha9LSvv5adZh8f1ZFkzKhRwMyZwN27qiMhIiJKmV0lzck7zTsi\ndyDeHI/GpRrb5Lpebl4YXnM4JuyYYJPrpUfdusD27aqjICOJjQXmzJESJntTqhTQvDkwY4bqSIiI\niFJmN0nzjRvyUr488Mtfv+DV516FyWSy2fVfr/o6Np7ZiFPRp2x2zWepU0eSZmNUpJMRzJ8vT6ZK\nllQdSeaMHi2dNB4+VB0JERHR0+wmad63D6haFbDAjOURy9E+oL1Nr5/dMzsGVB2Az3Z8ZtPrpqZ4\nccDLS3rxElksMl3PnmqZ/6tSJSAoCPjlF9WREBERPc1ukubkSYDbL2xHkexFUNqntM1jeKPGG1gc\nvhiXYi7Z/NopSd5tJtq5U1oyNmmiOhLrvPWWTAk0m1VHQkRE9CS7SZr375ed5sXhi9HOv52SGPJ6\n50XnwM6Ysd8YhZesa6ZkU6YAAwcCLnbzHZ2yevWk7dzSpaojISIiepLd/Irdvx94rkoSlh5finYB\napJmABhUbRBmHpyJeHO8shiSsYMGAcCVK0BoKNCzp+pIrGcyAW++KV1AiIiIjMQukuZLl4CEBOCK\n6x74ePmgfN7yymKpkL8CyuUth2XHlimLIVlgIHD5MnD9uupISKVZs4BOnYBcuVRHoo22bYGoKHmi\nTEREZBR2kTQfOCATw5YeX6KsNONxg6oNwpR9U1SHAVdXoFYtqWcl55SUBPzwA9Cvn+pItOPmJgca\nv/lGdSRERET/clMdQHocOABUed6CX48twYrOK1SHgxfLvYhhocNw+OphVCpQSWksyYcBX3xRaRik\nSFiYTIh87jnVkWirb1+gdGm5k1KokOpoyNk8eABs3iy/ey5flhKohw/la7FwYcDPD2jWDChYUHWk\nRGRLdrHTvH8/kLvCQbi5uKFi/oqqw4G7qzv6Pd8PU/dOVR0KDwM6uR9/BF59VWqBHYmPD9C5M/Dd\nd6ojIWeRlAQsXgy0aQMUKABMmADcvw8EBABdu8pB25o15U7IqlWAvz9QrRowfjwQHa06eiKyBZPF\nYozxGCaTCamFUqgQ0GHa+8iSLR4Tm060cWQpu3LvCvyn+uPs0LPI5aWumDQ2FsifXwa/ZMmiLAxS\n4M4doEQJ6dWdN6/qaLQXHg40agScPw94eqqOhhyV2QwsWgR8/DGQNSswdCjQsmXao+gTEuQg9i+/\nAMuXA336ACNGcPeZyB48K+d8FsPvNCcfAtx3cyNa+LZ4+gEXLgDr1wM3b9o0roLZCqJZmWaYf2S+\nTa/7X1mzAhUqyPAXci4LFwJNmzpmwgzIDl+lSvL3JNJDRARQu7bUz3/xBbB7t+wqp5UwA4C7OxAc\nLGcK/vxTSjoCA2XIUFKS7qETkQKGT5r37wcqVb+Nv6//jVrFav37B7dvA6NGSTHn+PFSAFm2LPDe\nezabjPBq0Kv48dCPNrnWs7BEwznNng307q06Cn0NGQJMn646CnI0SUnS27xOHWnVuHMn0Lx55suc\nihcHJk+Wn8Pz5gENG3JaK5EjMnzSfOAAkLtKGGoXqw0vNy/54Lp1kiDfugUcOQJs2SJFZUuWyFZB\nu3ZSjKazJqWb4Mq9Kzhy9Yju13oW9mt2PuHhQGSkHEZyZK1aSfu5Q4dUR0KOIjYWCAkB5s6VZHng\nQO3OBJQvD2zbBrz0knQ24pAeIsdiF0lzbIGNaFLqn/nAly/L9tqiRcDMmXKUGZD+axUrAmvXSjuB\nRo10b2Ds6uKKnpV7Kt9trlNHfvjzlqDz+PFHoEcPOZTkyFxdgddeA2YYYwgn2blr1+RXQ65cktyW\nLav9NVxdgeHDZW9n6FDgk08AY5wcIiJrGTpptlikPONE4kY0LdNUPtCnjzSlbdAg5U/y8AB++glo\n0gRo3Fj6BOmoV1AvzD08V+mEwAIFpK41PFxZCGRDZjMwfz7QvbvqSGyjTx+pa46JUR0J2bOTJ6V+\nuXlzedLp7q7v9apWBfbsAVasALp1A+LVD5ElIisZOmm+dAmIzxKJu4k3pR/yd9/JVsH77z/7E00m\n4KOPgHLlgHff1TVG39y+8M/nj9UnVut6nbQk92smx7dtm3RMCQhQHYltFC4sNaLz1Z65JTt29qzs\nMI8aBYwbZ7sWjYULS/Xg/ftA+/ZAXJxtrktE+jB00nzgAFCk7iY0LtUYLidPSbI8d276tghMJkmy\nFy4E/vhD1ziNcCCQhwGdx/z5csLfmbz+uhwI5G1uyqjLl6XLzFtvqZmcmSUL8NtvUkrVrp3uNz+J\nSEeGTpr37wcspTaiSekmwJgxwMiRctIivfLkkX5AvXrJoUGdtA9oj+0XtuNSzCXdrpEWHgZ0DnFx\nct61c2fVkdhW48bAvXvA3r2qIyF7Eh0th2VffVVGs6vi4SH7N1myAC+/zB1nIntl6KT54J8WRHlu\nRLNslYHQUKB//4wv0ry5zJh+4w3tA/xHVo+sCCkfggVHFuh2jbSUKyc1nxcvKguBbGD9eukFW6yY\n6khsy8VFdgl5IJDSKz5efvS3aAG8/bbqaOQG6fz5gJeX1Onz4DaR/TF00rzv3FHkyJINxZdslB5B\nuTI5eW/iRCnR0HECSLdK3TDvyDzd1k+LySR1zdxtdmzOWJqRrEcPYNky2XEmSsvQoXJAeuJE44yZ\nT06cT5/W/bgNEenAsEnz9evA3bwb0bJMI+D774EBAzK/mLe31EO/8452Af5HgxINcDX2Ko5dP6bb\nNdLCpNmxxcRIG6v27VVHokbBgkC9esDixaojIaObOVMO4M2ZI3cpjCRLFmDVKimz4uAeIvtisB8n\n//rzTyBbha3oHJVLtguqVrVuwT595Ai1TocCXV1c0SWwi9LdZh4GdGwrVgD160upvrPq3VvahRGl\nZudO2cVdvhzIkUN1NCnLm1eeAI8bB/z+u+poiCi9DJs0Hzxowf08O1F95UHrdpmTubtLG7q339bt\nCH63it0w/8h8WBQd8X/+eSAigv1sHdWCBUCXLqqjUOuFF4BjxziimFIWHS2HZGfP1mdwiZbKlJHv\n6e7dgXPnVEdDROlh2KR5+9FzKBNrQZb9h7RrFdCpkxxbXr5cm/X+I6hgELzcvLDr4i5d1k+LpycQ\nFMQOA47o1i25i9CmjepI1PLwkEERP/2kOhIyGotFWhOGhACtW6uOJn2Cg4HRo6UV3YMHqqMhorQY\nNmk+cG0nRkbkgalbN6lJ1oKLCzB+vNQ363B02WQyoVvFbph3WF2JRu3awC41OTvpaOVKGc6QPbvq\nSNR79VWpVTWbVUdCRvLzz3IXYsIE1ZFkzLBhsis+YAD7kBMZnSGT5nv3gOueu9D0RAzQoYO2i7ds\nKV3mN2zQdt1/dKnYBYvCFyHBnKDL+mmpXVtq+sixLF6s/beCvapYUUbHb9qkOhIyijNngDffBObN\nk5Zu9sRkAmbNkmFerNcnMjZDJs1//QUUK7QFea/cAWrU0HZxkwkYMQL48ktt1/1HaZ/S8M3tiw2n\n9UnK01Krluw0sweo47hzRzoB2MstZ1vo3VvqVomSkqQd4TvvAJUqqY4mc7JmleEno0fLuRQiMiZD\nJs27D95Dg2snYGrcOH0jszOqc2fg77/lRQedAztjUfgiXdZOS8GCQO7cwPHjSi5POli1SmofjdoJ\nQIUuXWTekY6DPslOfPedvB46VG0c1goIkLPqXbpwYiCRURkyad50fB9eOpsDri1a6nMBDw+ZqfrV\nV7os386/HVadWIV4c7wu66eFJRqOZdEilmb8V+7cMultgbohnGQAFy8CY8ZIK3+j9WPOjP79gRIl\ndB0pQERWMOSPmcM3dqDhmVgZga2X/v2BpUuBq1c1X7pIjiLwz+uPjWc2ar52ejBpdhx37wKbN7Nr\nRkrYs9m5WSzA4MGy/xEQoDoabSTXN//2G/s3ExmR4ZLmhASgcEwokDePPOXWS9680oJOp5FMHQI6\nKCvRYNLsOFavlil4mZ0g78iaNAGuXAGOHFEdCamwdClw4oS03nckefIAP/wA9O0rT5qJ9HbkCEvd\n0stwSfPRoxY0jz0I15Yt9L/YsGFSEBevfRlFu4B2WBmxUkmJRmAgcOkScOOGzS9NGmPXjNS5ugI9\ne3K32RnFxEgN8/ffS396R9OsmZQf/e9/qiMhR3XjBjB5sgxFa9WK56DSy3BJ87p9J9DybBKytW2v\n/8XKlwf8/WU+scaK5iiK8nnLY9MZ2/fFcnUFqlcHdu+2+aVJQ/fvAxs3sjTjWXr1kjZjCWo6PJIi\nn3wifcvr1lUdiX4+/1xKNEJDVUdCjuTKFWkgVrYssGcPMHGiTKSsVUt1ZPbBcEnz7iObUPmqGahf\n3zYXfO01YOZMXZZWXaLBISf27fffgapV5XYtpczXFyhXDlizRnUkZCsnT0rdr70NMcmo7NmlTOO1\n14Dbt1VHQ/buzh1JlgMCpE3j338Dc+dKmZurq+ro7Ifhkua8x5bjfDlfIEsW21wwJAT480/g7FnN\nl24f0B4rIlYoGXTCumb7t3w58NJLqqMwPh4IdC4jRgAjRwKFC6uORH+NG0t/9tGjVUdC9spikS5D\n/v5S1nQTAzhcAAAgAElEQVT0KPD1187x/aMHQyXNFgtQ/dKfQPOmtruolxfQrZsukxKK5iiKcnnK\nYdNZ25do1KwJ7N/P29b2KjFRDgG++KLqSIyvXTsgLIw1/M5g3TqpvRw2THUktjNhgtxJ2bpVdSRk\nb6KipAnZxInAkiVyU71QIdVR2TdDJc2nzyWgxs2bKPViiG0v3LevbFUlJmq+dIeADlh01PYlGrly\nSfORw4dtfmnSwI4dQPHi+jaQcRQ5cshBlkVqKqHIRhISgOHDZZirIx7+S03OnHJgq18/Dj2h9Fu1\nSg751asnG2isWdaGoZLm9VsPoOxNIEvVmra9cGAgUKyYbGNojCUalBkszciY7t2BX35RHQXpadYs\noGhR5xwn//LLcnt9/HjVkZDRJSQAb7wBDBkiu8vvvw+4uamOynEYKmmO3LoKZ/PmkpIJW9PpQGCx\nnMXgl8cPf5z9Q/O108Kk2T5ZLEyaM6ppU+D0aXkhx3PvHjBunNxmNplUR6PGlCnAtGlAeLjqSMio\nbt6UdoVnzshRrTp1VEfkeAyVNGc9uQ1XfMupuXinTsC2bcDly5ovraqLBpNm+3T4sIwEDgxUHYn9\ncHeXb+F581RHQnr44gugYUO53eysihSRkeGDBskTa6LHHT8uZ5mqVpUuuj4+qiNyTIZKmn2vHIdX\nLUWNN7Nmla29BQs0X7p9QHssP77c5iUafn5AbCxw8aJNL0tWSt5ldtYdtcx65RVpocSEwrFcvQp8\n+630ZnZ2r78uk9sWLlQdCRnJ9u1AgwYyHXPSJLaQ05OhkuYqN28gIERhuwCdCiOL5ywO39y+2Hxu\ns+ZrP4vJJMX/7NdsX1asYNeMzKhWTb7m9+5VHQlpadw4+dFcqpTqSNRzcwOmTgXefFPahxGFhkrN\n+y+/AK++qjoax2eopLlIDOBj60OAjwsOlr5Vf/+t+dKqumiwRMO+REYCFy7I/xtljMn0724zOYYz\nZ4BffwXee091JMZRp44MpBg3TnUkpNqiRUDPnrLR0qyZ6micg6GS5mP5c6s95uniIj2bddhtbh/Q\nHssjbF+iwcmA9mXNGqBlS552zqxu3eTWNfuTO4Zx44DBg4G8eVVHYiwTJwI//cRDgc7s11+BoUOB\nDRu4yWJLhkqaL5VSdAjwcd27y1aV2azpsiVylUBpn9IIOxem6bppqVYNOHIEePDAppelTFq1CmjT\nRnUU9qt0aanl37BBdSRkrYgIeRI5fLjqSIynQAHggw/kCQVr+J3PkiXyfbFhA1C5suponIuhkmbX\naooOAT6uQgWgYEFgs/b1x+3922Nx+GLN130Wb2+ZNX/ggE0vS5kQGysNXJo3Vx2JfXvlFfZsdgQf\nfiiJQa5cqiMxpgEDgOhoHgp0NqtWAQMHAmvXssOSClYnzaGhoShfvjz8/PwwceLEFB/zxhtvwM/P\nD5UrV8aff/6Z6lqBIQZpTKvTgcAQ/xCsiFgBc5K2u9hpYV2zfdi4EaheXSaAUeZ17Chziu7eVR0J\nZdbffwObNsmQBkoZDwU6n82bgT59gNWrgeeeUx2Nc7IqaTabzRg8eDBCQ0MRHh6OBQsW4NixY088\nZu3atTh16hROnjyJ77//HgMGDEh1vZJ1FB4CfFyXLlJZHxur6bJlcpdBwWwFsTPSthksk2b7sGqV\nc04701qePNLTd+lS1ZFQZo0ZA4wcCWTLpjoSY0s+FPjRR6ojIb0dOiS96H/7TcouSQ2rkua9e/fC\n19cXJUuWhLu7Ozp37owVK1Y88ZiVK1eiZ8+eAIAaNWrg9u3buHr1asoLGqUxbYECQI0aUlCnsXb+\n7bDk2BLN132W5KSZtW/GlZQkX26sZ9YGSzTs1+HD8vNq4EDVkdiHiROBH3/koUBHdu6cbKhMnSpN\nvkgdq5LmqKgoFCtW7NH7RYsWRVRUVJqPuWgP0zY6dZLjqRoL8Q/B0mNLYbFhBlusGODpyRHDRrZ/\nv0xwKlNGdSSOoXVrGSNrDz9q6EnjxwMjRsh5DEpbgQLA++9LJwVujDiemzflnMvo0UCHDqqjIasa\nW5nSuTP83wQxtc8bO3bso7eDg4MRrPIp1csvyymUu3eBHDk0WzYgXwC83b2x/9J+VCtiu3sstWrJ\n7o2vr80uSRmwejV3mbXk5QW0aycDPkeOVB0NpdeJE1LLPHOm6kjsy4ABwIwZwMqVHIzkSOLjgZAQ\n+T8dMkR1NPYtLCwMYWFhVq9jVdJcpEgRREZGPno/MjISRYsWfeZjLl68iCJFiqS43uNJs3I+PjKX\ncsUKORioEZPJ9Gi32ZZJc3KJRo8eNrskZcCqVcDkyaqjcCyvvCIHyZg0248JE6SNWvbsqiOxL+7u\nwDffAP37y66kl5fqiMhaFos8GcqdW74vyDr/3Yj98MMPM7WOVeUZVatWxcmTJ3Hu3DnEx8dj4cKF\naNu27ROPadu2LX7++WcAwO7du5ErVy4UKFDAmsvaTqdOuvTzSa5rtmWJBoecGNelSzIFsFYt1ZE4\nlnr1gFu3pEaWjO/8edmj4I5a5jRpAlSsCHz9tepISAuffw4cPChnM1wM1RzYuVn1X+Hm5oYpU6ag\nefPmCAgIQKdOneDv748ZM2ZgxowZAIBWrVqhdOnS8PX1Rf/+/TFt2jRNAreJtm2lcW50tKbLVilU\nBfHmeBy9flTTdZ8lKEhqmtmGy3hCQ4GmTQFXV9WROJbkAZ8cq20fJk0C+vaVnTXKnC++kGTr0iXV\nkZA1Vq+WOwerVrGDjNGYLLbc7nwGk8lk053XdGvfXuYa9+mj6bIj1o9ATs+cGBM8RtN1n6V+fTkw\n0rSpzS5J6dChgxxc+6fJDGkoPBxo1kx2MfmkxLiuXJEhTMeOycE2yry335akec4c1ZFQZkREyF2y\nlSuBmgbpwuuIMptzctM/LZ0769ZFQ1XrOTKOhAQZatKihepIHFNAAJA/P7Bli+pI6Fm+/FJq0Jkw\nW++dd+Rnyp49qiOhjLp7F3jpJekgw4TZmJg0p6VVK2DfPuDaNU2XrV2sNq7fv46TN09quu4zr8mk\n2XB27QJKl2ayoCf2bDa26Gjghx94YFMr2bMDn34qteFJSaqjofRKSpKD+g0aSJkSGROT5rR4ewMv\nvAAsXqzpsi4mF7xU7iUsPWa7sWW1agG7dwNm207xpmdYt06el5F+unQBli8H7t9XHQml5NtvpcPn\nY+38yUqvvCI1/XyyaD8++0z25r79VnUk9CxMmtNDry4aAe2w9LjtkuZ8+WRHk5OjjGPdOimZJ/0U\nKgRUry6HashY7t6VKWdvvaU6Esfi4iIHyd5+G4iJUR0NpWXnTuCrryTN8PBQHQ09C5Pm9GjeHDhy\nBPjPtENrNSjRAKejTyPyTmTaD9ZI8pATUu/SJSAyUia2k75YomFM06fLwWQOXdJejRpyCPaTT1RH\nQs8SHS13w2bO5N0We8CkOT08PWUkz6JFmi7r7uqONuXaYNnxZZqu+yysazYOtpqznZdfBrZv1/xo\nAlnhwQPpKfzOO6ojcVyffgrMmgWcOqU6EkqJxSKNuUJCpMMtGR+T5vTSq4tGedt20eCQE+NYu5al\nGbaSLZu09dPhW5gy6aefgGrVgMBA1ZE4rkKF5IDl//6nOhJKyZQpcreRE//sB/s0p1dCAlC4MLB3\nL1CqlGbLPkx8iIKfF0TE4AgUyKZ/CwWzWYYHnDolNc6kRkKCtEI7fpydM2xl/XrgvfekGQ6pZTYD\n5cpJ4ly3rupoHFtcHFChAjBtmpRrkDEcPCiVn7t3A2XKqI7G+bBPs97c3YF27YDfftN0WS83L7Tw\nbYEVESs0XTc1rq7S/5G7zWrt2iU/KJkw207jxsDFi/JEhdRavlyeNNapozoSx+fpKX2whw2TJ+uk\nXkyM9BeYPJkJs71h0pwRenXR8G9n09ZzrGtWj10zbM/NDejalQcCVbNYpL3WyJGAyaQ6GufQpo0c\nMps2TXUkZLEAr78ONGwoVZ9kX5g0Z0T9+jLv9cQJTZdt6dcSOyN34taDW5qumxomzeoxaVaje3dg\n7lwOfVBp2zbg1i0efLIlk0lamn38MXD9uuponNuPPwJ//SWHYMn+MGnOCFdXoH17zUs0snlkQ6NS\njbD6xGpN101NjRpSTxUfb5PL0X9ERbHVnCqVKwM5ckjiRmpMmiQH09g1xrYCAoBu3YD331cdifMK\nDwdGj5YUwttbdTSUGUyaM6pjR82TZgAI8bddF40cOaSO6tAhm1yO/oOt5tQxmWS3mSUaaoSHy0HM\nHj1UR+KcxowBli3jz34V7t+X9GHCBHkCQ/aJSXNG1a4t3ciPHdN02TZl2+CPs3/gXvw9TddNDYec\nqMPSDLW6dgWWLpU+wWRbn38ODB4MZMmiOhLn5OMDjBsHvPGG1NaS7QwbBlSqBLz6qupIyBpMmjPK\nxQXo0EHz3WafLD6oVawW1p1cp+m6qWFdsxoJCcCmTUCLFqojcV5FiwJVqnCstq1duiRdMwYMUB2J\nc+vbV8aXazyri55h4UJg82bgu+94+NXeMWnOjI4d5btA46fq7fzbYelx23TR4JATNdhqzhhYomF7\n334r48zz5FEdiXNzdZX/i5EjpWSA9HX6NDBkiKQMOXKojoasxaQ5M2rWBGJjgaNHNV32xXIvYt3J\ndXiY+FDTdVNSpow0vY+M1P1S9BiWZhhDSIgcBmQnAdu4exeYORMYPlx1JARII6iaNeVQJuknLk46\n1b73ntzdIvvHpDkzTCZdSjQKZCuAygUrY+OZjZqumxKTiSUaKjBpNobs2YEXXtCl7TqlYOZMmUan\n4TBVstJnn8mO84ULqiNxXG+9JeVgQ4aojoS0wqQ5s5IHnWhcohFS3nZdNJg02xZbzRkLSzRsIyFB\netKOHKk6EnpciRKSzI0apToSx7RqlRw4nj2bdcyOhElzZlWtKo2ODx/WdNkQ/xCsiliFBLP+806Z\nNNsWW80ZS5MmsssWEaE6Esf2669A2bK8PW1Eo0bJOYutW1VH4lgiI+XA5YIFQO7cqqMhLTFpziyT\n6d8DgRoqlrMYSvuUxpbzWzRdNyXPPy99U2Njdb8UQUozWrVSHQUlc3MDunSRCYGkD4tF6ma5y2xM\n3t5SpjFkiNwRIOslJsrPlWHDZGOKHAuTZmt06iR1zXp00TimfxeNLFmAihWB/ft1v5TTS24117y5\n6kjocRyrra8NG+Q1v+6Nq2NH6ebzzTeqI3EMY8fKk5HRo1VHQnpg0myN556T1wcParpsiH8Ilh1f\nhiSL/r/JWaJhG2w1Z0xBQdIGaov+N3ac0mefAW++yZpOIzOZgOnTZVLduXOqo7FvGzcCP/4oZyVc\nmF05JP63WsNk+ne3WUN+efyQzzsfdkXq30iZkwFtg10zjMlkkglds2erjsTxHDwInDgBdO6sOhJK\nS5kywIgRwKBBnBSYWVevAj17Aj//zM0RR8ak2VodO+pSohHib5suGrVqyS4of1Dqa+1aJs1G1a2b\nnHS/fVt1JI5l0iRg6FDAw0N1JJQeb74JnD8PLF6sOhL7k5QkpV69ewONG6uOhvTEpNlalSrJb4V9\n+zRdNrmu2aJzNlu0KJA1K3DypK6XcWpRUcDFi2w1Z1R580pXk19/VR2J4zh3TuqZ+/VTHQmll4cH\nMGOGHGC7c0d1NPZl4kTgwQOpZybHxqTZWjqVaATmD4S7qzsOXta2XjolrGvWV2ioDHZgqznjYomG\ntr76CujTh2OD7U2dOkDr1sA776iOxH7s2CF9yOfPl4485NiYNGshuURDwyP4JpPJZl00mDTri/XM\nxtesGXDpEnDkiOpI7F90tByEGjpUdSSUGRMmAMuWAbt3q47E+G7ckPZys2YBxYqpjoZsgUmzFgID\nZS7vnj2aLptc16x3iQaTZv2w1Zx9cHUFevXibrMWpk8HXnwRKFJEdSSUGT4+wJdfSmkNezenzmyW\n8xBduwJt2qiOhmyFSbNWdBh0Uq1wNcQmxOLYjWOarvtflSrJARAehNIeW83Zj169gHnzZNAnZc7D\nh8CUKXKojOxXp05A4cJSZkMp++QT+Xr/+GPVkZAtMWnWSseOwKJFmpdohJQPwZJwfbtouLvLVHDe\njtMeu2bYD19fICBAOmlQ5vzyi4zLrlBBdSRkDZMJmDZNOqCcOKE6GuP5/Xfgu+/k8DDrmJ0Lk2at\n+PsDefLIqQANtQtoh6XHWddsrzg6277wQGDmJSUBX3zBkdmOonRpYMwYuQNjNquOxjguXgR69JC7\nUoUKqY6GbI1Js5aSDwRqqE6xOrgUcwlnbp3RdN3/4pAT7UVFyUv16qojofRq315KaqKiVEdif1at\nkqMdDRqojoS0MnAg4OUlT4ZIarw7dgTeeANo2FB1NKQCk2YtdewoneE1fFru6uKKl8q9pHsXjZo1\ngb17uaOgpdBQ6f/LVnP2w9sb6NABmDNHdST2Z9Ik2WXmyGzH4eIid14mTQKOHlUdjXqjRwO5c8tr\nck5MmrVUtixQsCCwbZumy9piOmDevHLwgy23tMNWc/YpuUSDUzLTb9cuadkXEqI6EtJayZLA+PFS\nkuDMh2SXLJFWfD//LE8myDnxv15rOgw6aViqISJuRCDqrr73jOvWBbZv1/USToOt5uxX9eqAp6fm\nz30d2qRJwIgRPBTlqPr2lRaC77+vOhI1jh4FXn9dfrXnzq06GlKJSbPWOnSQp6SJiZot6eHqgdZl\nW2PZ8WWarZmSevWArVt1vYTT2LmTrebslckk0+x4IDB9TpyQJ9u9e6uOhPRiMsn3w7x5wMaNqqOx\nreho6Tv+xRdAtWqqoyHVmDRrrUwZGQ0UFqbpsu3822Fx+GJN1/yvevVkd423pa3Hrhn27ZVXgOXL\ngTt3VEdifF9+KbtwWbOqjoT0lDev1Pr37Alcv646GttITJSbxy++KOUpREya9dClC7BggaZLNvdt\njr+u/oXLMZc1XfdxpUrJobXTp3W7hNNgPbN9y59fDnHOnas6EmO7elVmOg0erDoSsoXGjSV57NVL\n05EEhjVypNQvT5yoOhIyCibNeujcWU4MPHyo2ZJebl5oW64tFoUv0mzN/zKZ/t1tpsxjqznHMGCA\njITmnZfUTZ4sO3H586uOhGxl3Djg1i1gwgTVkehr2jTZ/OAAE3ock2Y9FCkCBAXJODgNda7QGb/+\n/auma/4X65qtx1ZzjqFhQ7k9y8OxKbt9W6aijRqlOhKyJXd3GX47ZQqwYYPqaPSxZg3w0UfyK9zH\nR3U0ZCRMmvXSrZucmtBQk9JNcOLmCZy7fU7TdR9Xvz53mq3F0gzHYDJJre706aojMabJk4HWrWVy\nHDmXIkWkArFHD+DcOdXRaOvPP+VQ67Jl/Nqmp5ksFmPcfDSZTDBIKNq4fRsoUQI4fx7IlUuzZfuv\n6o8yuctgVB19tneSkoB8+aRfc+HCulzCoSUkyL9fRAQ7ZziCW7ek1v/ECZYgPC4mRs48b9sGlCun\nOhpS5euvgV9+ka8Db2/V0VjvzBnZOPrmG6BdO9XRkJ4ym3Nyp1kvuXLJqYml2k7y6xyob4mGiwtQ\npw53mzNr507Az48Js6Pw8ZGBHWw/96TvvpMfb0yYndvQoUBgoHSbsfdpspcvS1ndu+8yYabUMWnW\nkw4lGvVL1Mfle5cRcSNC03WfuAZLNDKNpRmOZ8AAYMYM+08KtHL/vrSZe+cd1ZGQaiYTMHOm3Fh9\n803V0WRedDTQrJn0Zx8wQHU0ZGRMmvX0wgtSIBWl3SQ/VxdXdAzoiIVHF2q25n+xg0bmMWl2PNWq\nScnNmjWqIzGGWbOAmjWBihVVR0JG4OEh87zWrwe+/VZ1NBl354701G/RAnj7bdXRkNExadaTlxfw\n0kua92zuHNgZ84/M160GvEoVqe26dUuX5R0WW805rqFDpc7R2cXFAZ99Brz3nupIyEh8fKTTxMSJ\nmv+609WtW1KSUbWqfF2bTKojIqNj0qy3Hj3kpISGahatiYSkBBy8fFDTdZO5uwM1arDVVkax1Zzj\n6tABOH4cOHxYdSRq/fQTUKkS8PzzqiMhoylZUnabR4wAFus7vFYTN24AjRrJndXJk5kwU/owadZb\n/fpy/+fQIc2WNJlMeKXiK5h7WL9xZcHBwJYtui3vkNauZWmGo/LwAAYOtM/bz1pJSJCBFtxlptQE\nBsrmweDBwIoVqqNJXVSUJMwtWgCff86EmdKPSbPeXFyA7t2BOXM0XbZbpW5Y8PcCJCYlarpusuBg\nICxMl6UdUkIC8Mcf8kOYHFO/flK7ef266kjUmDdP+tbWrq06EjKyypVlA6FfP+C331RH87TDh4Fa\ntYCuXYHx45kwU8YwabaF7t2B+fMls9JI2TxlUSJXCWw6s0mzNR9XrZr0Gr59W5flHc6OHYCvL3v5\nOrJ8+YD27aWThrMxmyXB4C4zpUeVKsDvvwP/+590WjHKCIb164EmTYBJk4C33mLCTBnHpNkWypaV\nSQDr12u67CsVX8HcI/qUaHh6sq45I1avlulo5NiGDgWmTQPi41VHYlu//SZPGoKDVUdC9qJSJelb\nP3s2MGyY2paNSUlySLFnTxmd0KmTuljIvjFptpUePYCff9Z0yU6BnbAqYhXuxd/TdN1kLNFIPybN\nziEwUF7mz1cdie0kJgIffgh88AF35ihjihWTjZejR6UP8uXLto/h+nX52bxyJbBvH1C3ru1jIMfB\npNlWOnWSnWYN+7jlz5ofdYrXwYrj+py4YNKcPidPAnfvAs89pzoSsoXRo2XXKilJdSS2MXeuTLhs\n1kx1JGSPcuWSX33160vZRmio7a69Zo1cs2JF+V1WrJjtrk2OiUmzrfj4yG+dhdoOJXml4iv45bC2\nLe2Ssa45fdaskZ0MF343OYVGjYDs2Y3dHUArcXHA2LHAJ59wl5kyz9UVGDMG+PVX4LXX5EXPA7UX\nL8oo7GHDpE3ixInSSpXIWvw1b0uvvioFXhp6sfyL2Bu1F1F3tZs6mIx1zenD0gznYjLJIaJPPzXO\nASe9zJwJBATwljZpo0ED4MgRIFs2+br69ltNz8fjxg3g/feBoCApozpyBGjcWLv1iUwWvcbKZZDJ\nZNJtwp1hmM3SAX7NGjkloZF+q/qhtE9pvFX3Lc3WTPbxx7LT/Pnnmi/tEO7eBYoWlVq9rFnVxGCx\nWHD9/nWEXw9H+PVwnLl1BlExUYi6G4Xr968jJi4GMfExeJj48NHnuJpckc0jG7J5ZENOr5wokLUA\nCmQrgMLZCsMvjx/K5ikLv9x+yJ81P0zcYnxKUpL80p861XF/KcfGAn5+8qSwShXV0ZCjCQ8Hhg+X\neueBA6VFXd68mVvr1CnpajN7tuwwv/WWtEckSk1mc04mzbb2wQcy7ETDmby7Ineh14peOD7ouOYJ\nzvbtcotr/35Nl3UYixYBP/4ofUltxZxkxoHLB7D1/FbsjNyJXRd34WHiQ1TIVwEB+QJQxqcMiuYo\niiI5iiCfdz7k8MyB7J7Z4eXmBRPk6yMhKQGx8bGITYjFrQe3cC32Gq7GXsXFuxdxMvokTtw8gZM3\nTyIhKQF+uf1QPm95PF/oeVQvUh3PFXoO3u7etvsLG9SPP0rv4o0bVUeij4kTgQMHjNlrlxzHoUOy\n47xsGdCwIdC8uVQyliqV+ufExQF//w1s2iQVjxcvSt/lESNYt0zpoyRpjo6ORqdOnXD+/HmULFkS\nv/32G3LlyvXEYyIjI9GjRw9cu3YNJpMJ/fr1wxtvvKHZX8DunD0rxcIXLwJeXposabFY4D/VHz+0\n/QF1itfRZM1kcXHy7D8yUg500JN69pQSloED9b1ObHwsVp9YjVUnVmH96fXInzU/GpVshFrFaqF2\nsdookbOELjvC0Q+icfLmSYRfD8f+S/ux99JeHL12FGXzlEW1wtVQvUh1NCjZAH65/ZxuRzo+Xnpz\nL14MVK+uOhpt3bgB+PvLk+Zy5VRHQ87gxg05JLh+PbBhg9yYLVECKF5czhDcvw88eCC/Ok+elO+9\n2rWBjh3lkKGbm+q/AdkTJUnzqFGjkDdvXowaNQoTJ07ErVu3MGHChCcec+XKFVy5cgVBQUG4d+8e\nnn/+eSxfvhz+/v6a/AXsUtOmUt/cpYtmS3624zOcuHkCs9rO0mzNZE2aSH/aNm00X9qumc1AwYKy\nC1+ihPbrJ1mSsOH0Bsw9PBerT6xGjaI1EFI+BC39WqJ4zuLaXzCd4hLj8NfVv7Avah92R+1G2Lkw\nJFmSEFwyGA1LNkRwyWCU8SnjFEn09OnSymrdOtWRaGvIEHk9ebLaOMg5WSzAtWvAhQvA+fNSKuTt\nLS8FCki9skZ7TuSklCTN5cuXx5YtW1CgQAFcuXIFwcHBOH78+DM/56WXXsKQIUPQ+D+FgE6VNC9c\nKCdsNLyveznmMgKmBeDi8IvI6qFtce348XLS+auvNF3W7u3aBfTvL2NZtXTz/k3M/nM2pu+fjtxZ\ncqN3UG90qNAB+bMac9ygxWLB6VunEXYuDJvPbcbms5vh5uKGZmWaoYVvCzQp3QS5vBzzNkV8vOzE\n/vKL4xyWi4iQv8uxY5mvMSUiMjIlSbOPjw9u/dN32GKxIHfu3I/eT8m5c+fQoEEDHD16FNmyZXsy\nEGdKmuPi5PTYnj2anlZoPb81OlboiB6Ve2i2JgDs3Qv06SMnkelf774rOyLjx2uz3sW7FzFpxyT8\ncvgXtC3XFoOqDUK1ItW0WdyGLBYLIm5GYP2p9Qg9HYrtF7YjqGAQWvq2RAvfFggqGAQXk+M07vnx\nR2lrFRbmGG3ZXnxRkuaRI1VHQkSkj8zmnGlWATVt2hRXrlx56uOffPLJUwE863bsvXv30L59e3zz\nzTdPJczJxo4d++jt4OBgBDvqzFZPT6BbN+CHH6QBqkZ6B/XG5L2TNU+an39e6siuXJFyBBKrV8vt\neWtdvHsR47aMw+LwxejzXB8cHXgUhbIXsn5hRUwmE8rnLY/yectjaM2huJ9wH1vObUHoqVB0XtwZ\ndxRsBzEAACAASURBVOPuooVvC7TwbYFmZZohd5bcqkO2SvfuwIQJciipSRPV0VgnLEzunGjcTp6I\nSKmwsDCEaTCtzeryjLCwMBQsWBCXL19Gw4YNUyzPSEhIQOvWrdGyZUsMGzYs5UCcaacZkHufjRpJ\nwZaHhyZLxpvjUeyrYtjWexvK5imryZrJXn4ZaN9ecn2S/7aqVeWJhKtr5ta48/AOJmyfgO8Pfo/X\nqryGkbVHIo93Hm0DNaDT0acReioU606tw9bzW1GxQEW08m2FVn6tEFQwyC5roX/9Ffj6aynZscPw\nAci47KpVgbfflgGmRESOKrM5p1X3SNu2bYs5c+YAAObMmYOXXnrpqcdYLBb06dMHAQEBqSbMTsnf\nX16WLdNsSQ9XD/QO6o3vD3yv2ZrJmjSRnTQSa9YArVplLmFOsiThh4M/oNyUcrgaexWH+h/ChCYT\nnCJhBoAyuctgUPVBWN11Na6NvIYP6n+Aa7HX0GlxJxT5sgj6rOiDxeGLcefhHdWhplvHjnK6f+VK\n1ZFk3rRpQJ488nchIqKnWd1yrmPHjrhw4cITLecuXbqE1157DWvWrMH27dtRv359VKpU6dEO0qef\nfooWLVo8GYiz7TQD0qtq8mRgyxbNljxz6wxqzKqByOGR8HLT7nhxRIQ0/Th/3n530rTUqhXQuzfQ\noUPGPu/QlUMYuGYgkixJmPbCNFQpxKkRjzt58yTWnVqHtSfXYkfkDjxf6Hm08pNd6Ar5Khh6F3r9\nemDwYBnWoNHNI5u5fFnmLW3bBpQvrzoaIiJ9cbiJPUpIkAmB69dLDx2NNJ/bHD0q9UC3StrVUlgs\n0i9z0yagrLaVH3YnNhYoVEh6V+fMmb7PiUuMw4dbPsQPf/6ATxp9glefe9WhDsPp4X7CfWw+uxlr\nT67F2lNrkZiUiBZlpBtHo1KNkC9rPtUhPqV1ayA4GHjzTdWRZEy3btI2UatDrURERsak2V6NHSv9\n3KZO1WzJZceW4cvdX2Jb722arQkAvXrJII8BAzRd1u6sXCkDHdNbrrIvah96reiFcnnKYfoL01Eg\nWwF9A3RAFosFx28cx4bTG7Dp7CZsOb8FpX1Ko3GpxmhSugnqFa+neavFzDhxQgYuHD0q/WTtwR9/\nSNv4o0fVjYInIrIlJs32KioKqFgROHcOyJFDkyUTzAko+U1JrH9lPQLza7eDPXeulGAvWaLZknap\nXz8pRx8+/NmPMyeZMWH7BHy791t83fxrdA7sbOjyAnuSYE7Avkv7sPHMRmw8sxEHLh9AYP5A1Cte\nD/WK10Od4nWQ11tNk+E33wTu3JFW7Eb34AEQFAR89pm0mrOFJEsS7sXfw52Hd3An7g7uPLyD2w9v\nIyY+BvcT7uNBwgM8SHzwxNuPXv/z9v2E+3iY+BAJSQkwJ5lhtphhTjIjMSkxxbfNFnkfAFxMLjDB\nJK9N8jqlj5lggquLKzxcPeDu4g53V/dHb3u4esDd1T3lt1P4WGZePN08U/0zdxd3/iwhsgKTZnvW\noYPc0x00SLMlx2weg+gH0ZjcSruRXpcvAxUqyMZ4ZjtG2LukJGmxvWUL4OeX+uMu3r2I7su6AwDm\nvjwXRXIUsVGEzul+wn3si9qHbRe2YduFbdh9cTeKZC+COsXqoFqRaqhWuBoq5K8AD1f9i43v3JGB\nJ2vWSLtGIxsxQr6vFyzI+OcmmBNw88FN3Lh/A9djr+PG/RtPvEQ/jMbth7efSI7vxN3B3bi78Hb3\nRk7PnMjplfPR6xyeOeDt7o0sblnkxT3Lv++7Z0nxtburO1xNrnB1cYWbi1uKb7ua/nnfRX5oWSwW\nJFmSYME/r/95P6WPmS1mJJgTEG+OR0JSwhNvx5vjkWBOeOLt1B73+J/Hm+MRnxT/79uPvcQlxqX4\n8f++JCQlPJWQPyvJTjEpd/V8Igl3MbnA1cVVXv/zb5f8dkb+LL0sSP/v+8f/z+z+7ce+xoz09uSW\nk1G/RP0M/xywV0ya7dmWLTJaLjwccNGmzjXyTiSCZgTh/LDzyOaRcl/szAgMlGEO1exv5oYmDhwA\nunaVg5GpWXdyHXqv6I0h1YfgrbpvPfplTbaTmJSIw1cPY2fkTuy/tB/7L+3H2dtnEZg/EFULVUWV\nQlUQmD8QAfkCkN0zu+bX/+kn4NtvZX6Ru7vmy2ti2zZpLXfkiHTNSDAn4Pr967gWe+3Ry9V7V+Xt\n+9eeSoxjE2KRJ0se5PXOm+JL7iy5kcsrV4rJsZtLmiMC6BksFgsSkhLSnWQ/kZibU/6cJEsSzEnm\nR08WUns/1T/7Z1c/IzvgJqT/sf+9C2AymeAC+djjdwn4dubeLpWrFHJ6pfOQjgNg0mzPLBZpkDpu\nHPDCC5ot2/639mhYsiEGVdduB3vYMCB/fuCddzRb0q68/z7w8CEwadLTf5ZkScJHWz7C9we/x6/t\nfkW9EvVsHyCl6l78PRy6cgj7L+3HgcsHcPTaUUTcjEBe77wIyBeACvkqICBfAEr7lEapXKVQJEeR\nTCd3FgvQsiVQr55MjlTBYrEgJj7m38Q3ORGOvYqo29cwb/k1lAq8hkQv+fO7cXeRJ0se5M+aHwWy\nFUD+rPmR31vezuedD/mz5n+UEOfLmg85PHPwMCsR2SUmzfZu3jxg9mxNmyFvv7Adr654FccHH9fs\nl1toqJyw37pVk+XsTsWKwIwZctjrcbcf3ka3pd0QExeDhe0X2vVEP2diTjLj3O1zCL8ejqPXj+LY\njWM4e+sszt4+i2ux11A4e2GUylUKJXOVRKFshZ5IKAtklde5vHLB3fXp7eQLF6Q8IyxMypoyK8Gc\ngNiEWNyLv4eYuBjcengL0Q+icfP+TUQ/iP735WH0o48nJ8huLm7/JsCPxbxlbX6Y7hfAhyPzP/o7\n5c6Sm0kwETkFJs32Lj4eKF1aZjMHBWmypMViQbWZ1TA2eCxal22tyZoPHkhXgAsXgFy5NFnSbpw6\nJTuHUVFPVtGcjj6N1gtao3mZ5pjUdFKKCRTZn3hzPCLvROLs7bM4d/scrty78minNrl04WrsVdx5\neAduLm7I5pEN2T2zI7tHdmT3zA4vNy9ciXJD1EU3NKjrDndXN7i5uMFkMiExKVEOqj12YC0uMe5R\nchwb/8/rhFiYk8zI6pEVWd2zIrtnduTOkvvfFy95ncc7zxMfz581P/J550uxo8iiRcDo0cDBg873\nPUxEBDBpdgwTJ0pd8z9TFrUw9/Bc/HToJ2zssVGzNVu2BPr2Bdq102xJuzBpEnD6NPDdd/9+bNv5\nbeiwqAPGBo/F61VfVxccKWOxWPAw8aHsBMfHICYuBjHxMYhLjEOCORGj30lAYKVEvNxOEuUkSxLc\nXdyfOLDm5uIGD1cPZPPI9ihBTn7b09VTs04JERFA3bpyx8johxSJiPTCpNkR3LoFlCkD/P03ULiw\nJkvGm+NR8mtpP1exQEVN1vzmGzk8NGuWJsvZjdq1gTFjgObN5f2f//oZb254E/NC5qFpmaZqgyPD\nunhRDs7OnQs0bqwujthYoGZNYMgQaZtIROSsmDQ7iiFDgGzZgE8/1WzJj7d+jHO3z2FWW22y3BMn\ngEaNZCKes7QKTW63d+UK4OaehA82f4D5R+ZjddfVCMgXoDo8Mrg//pCpe/v2SctCW7NYgB495Pt1\nzhzn+b4lIkpJZnNOnvowmhEjZCrC7duaLfl61dex5NgSXL13VZP1/PwADw/ZEHcWK1ZIWYrZ9ACd\nF3fG5nObsafvHibMlC6NGgFDh0pL9vh421//gw+A48eB6dOZMBMRZRaTZqMpVUrazmk4Vjuvd150\nDeyKr3Z/pcl6JpMkkKGhmixnF5YtA5q3vYuW81rCxeSCTT02IV/WfKrDIjsyapQcou3fX4bk2MqU\nKcDChcDatRyTTURkDZZnGNHx4/9v787DoqwWP4B/WdwQErfAhcRQBFJZMjE1YxF3TbMUTUVFr3Xd\nzVJMK9c09SZqpXazG2KKaRHumgqiYlwV9CauP0FBkZBFcUHGmff3x8kFBd8ZeGeGGb6f53mfgZnz\nnjmc5wBfXs57DtCpE3DpkpiqoYDL+Zfhs8YHF8dfRO0atctd37ZtwL/+Jf7tbO7y8wEn1xy4zumG\nto3b4OueX3NpLiqT27fFnPg2bYBly/R/1ffnn8V27/Hx4u9xIiLi9Azz4uYmttVevVqxKpvYN0Fv\n195YmbhSkfr8/cX8zIICRaqr0CJ/uwaM7ITOLgH4puc3DMxUZra2Ynvt+Hhg5kz9vtf69cC4ceL9\nGJiJiMqPv/0rqk8+AZYuFdvPKSSsYxhWJK7A7aLb5a6rZk1xJ765X2lOzUvFtHNvoHvDIVgUtEix\npb+o8rK3B3bvFlN+Zs1SfqqGJAFffil27dy/H/D0VLZ+IqLKiqG5ovL0FAupfv+9YlW2qNcCfs5+\nWHN8jSL19eghrmKZqzPZZ/DG2k7QHJqC70LCjN0cMiP164tAu2+fuDlQqf/YqFTihsN164DDh8u3\nEyERERXH0FyRzZoFLFwotuFTSFjHMCxNWIrCB+W/gt2nD7B1q2FvajKUE5knEBARgF42C9Cl9ljU\nqmXsFpG5cXQEDhwA6tQBXn8duHChfPWdPAm0bSs24ImPN87SdkRE5oyhuSJr21bcMaTgShreDbzx\naoNXserYKvnCMlxcgLp1gcREBRpWgRy6cgjdIrvhmx7f4NrOoXj3XWO3iMxVtWrAmjVi7nG7dmJ7\na11Xm7x9G5gzB+jcWSzzvm0bt8cmItIHhuaKbt48MUHx5k3FqpwfMB9fHPoCt+7fKnddb70l1jA2\nF7sv7ka/qH5Y//Z6+Dfoh7g4cUWdSF8sLID33xe7bObkAC1aiH8wyV15TksDpk4FmjQR5544AYwc\nyXWYiYj0hUvOmYLhwwEnJ2DuXMWqHPbrMLxc+2V87vd5uepJTBTNS0lRpFlGtSVlCz7Y/gF+Hfgr\nOrzUARERwC+/ANHRxm4ZVSanTom1lbduFVeM/fzEf3Ts7MRUqJMngaQkIDtbhORx4wBnZ2O3mojI\ndHAbbXOWliZuCkxJEbsjKCA1LxVtvmuDs2PPlmuTDo1GzJ2MixM7BZqqH5N/RNi+MGwfvB3eDbwB\nAL16AYMHi4PI0DQa4PhxICEBuHVLHJIEtG4N+PiIK9LW1sZuJRGR6WFoNncTJ4rfoitWKFbl+B3j\nYW1pja+6lW+nwDFjRGCeOlWhhhnYij9WYPGRxdgzdA/c6rkBAPLyxNW7jAxxhY+IiIjMAzc3MXcz\nZwIbNyo6D2Jmp5mIOBWBtPy0ctVjqvOaJUnCvIPzsDxxOeJHxD8KzICYkhEQwMBMREREAkOzqahf\nX2x4MnGi+B+tAhxsHTC53WRM2T2lXPUEBIh5mNnZijTLICRJwsd7P0bU6SjEj4hHE/smxV5fvx54\n7z0jNY6IiIgqHIZmUzJ2LHD1qqKXdae2n4pTWaew++LuMtdRvToQFCSWujIFao0a7297HwevHETc\n8Dg42joWez0jQ6xE0KuXkRpIREREFQ5DsympUgUIDwemTFFse+3q1tUR3i0cE3ZNwP0H98tcT79+\nwJYtijRJr1RqFYb+OhQXci/g96G/o06NOs+U+eknoH9/8ccAEREREcDQbHqCggAvL2DJEsWq7Ona\nE651XfHV0bLfENinj9iFLDdXsWYp7p7qHt7e9DYKigqwffB22FUrecJyZCQwZIiBG0dEREQVGkOz\nKVq6FFi2rPz77j5hWddlWHJkCa7cvFKm8+3sxI5kv/6qWJMUVXC/AD1/6gnbqrb4ZcAvqFGlRonl\nTp4U+8i88YaBG0hEREQVGkOzKWraVKymERoqlqFTgEsdF0xuNxmjYkaVeem/4GAgKkqR5igq+042\nAiMC0bxOc0T2i0QVqyqlln14ldmS3xlERET0BEYDUzV+PPDgAbBqlWJVTus4DfmF+fj22LdlOr9n\nT7FD4F9/KdakckvNS0WHtR3Q1aUrVvVaBStLq1LLqtViPjOnZhAREdHTGJpNlZUVsHYt8NlnYsdA\nBVhbWiOiXwQ+PfApLuZe1Pl8Gxuge/eKc0Ng8vVkdPyhIyb6TsTcgLmwsLB4bvkDB4AGDQB3dwM1\nkIiIiEwGQ7Mpc3MDPvwQGD1asWkabvXcMLPTTAyPHg61Rq3z+RVlisb+1P3osq4LwruFY2zbsVqd\n88MPwLBhem4YERERmSRuo23qHjwA3nwT6NsX+OgjRarUSBoERgSi00udMNt/tk7n3r8PODoCp08D\nDRsq0hydbTq9CeN2jMOmdzfBz9lPq3NycgAXF+DSJaDOs6vQERERkZngNtqVlbW1mIi7ZAlw9Kgi\nVVpaWGJD/w1Ym7wWMedidDq3WjWx/NzPPyvSFJ0t/2M5puyegr1D92odmAFg3Tqgd28GZiIiIioZ\nQ7M5aNIEWL0aGDQIyMtTpEpHW0f8/O7PCI0JxdkbZ3U69733gIgIRZqhNZVahX9u/ydWH1+NQyMP\nwdPRU+tzJQlYs0bMciEiIiIqCUOzuejbV1ziDQ0VKVAB7Rq3wxeBX6BfVD/cun9L6/MCA4HsbCA5\nWZFmyMq5m4OukV1x+eZlJIQmwNneWafzDx8WU8K5NjMRERGVhqHZnHz5JZCZCczWbR7y84zyGYXA\npoHou7Ev7qnuaXWOlRUwYoRY3EPfkq8no+2/28KngQ9igmPwQrUXdK7ju+/EVWaZxTWIiIioEuON\ngOYmKwto1w6YPx8YPFiRKtUaNYZFD0PuvVxED4xGNetqsuekpgKvvQZkZADVqyvSjGIkScLapLWY\nvm86lndbjkGtBpWpnrw8sVfMxYtAvXoKN5KIiIgqnLJmToZmc/Tnn0BAABAdDbRvr0iVDzQPMHDz\nQEiShKh3op67q95DnTuLK7gDByrShEcK7hdg/M7xSLyaiC0DtsC9ftkXVl6xQkzP2LhRwQbq6u5d\nIDcXuH0buHOn+PHkc3fvAkVFYsWUh4dKVfzzBw/E9BxLS3HpvKTHp5+zsgKqVHl8VK1a8sdynz/9\nWkmHtbV4tLLipX0iIjIKhmYqbtcuMUdi3z7Aw0ORKovURegX1Q8WsMCG/htgV83uueU3bBBrH+/Z\no8jbAwAOXj6I4dHD4e/sj/Du4bCtalvmujQaoEUL4PvvgU6dlGsjJElcwr527fGRmfn4MSdHHLm5\n4lGSxLIddnZAzZrPP6pVE8GzpOPJMCpJ4gss7fHJj9VqEb6fPIqKSv5Yl9eePh6GfJVKvO/TQbq0\ngK3N89bWj/8geHhYWT373PMOufIVMeSX9DPz6ecMWcbY72/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"text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(1, 2, figsize=(12, 6))\n", "\n", "taulist = np.linspace(0, 100, 10000)\n", "\n", "for idx, gamma0 in enumerate([2 * Omega, 0.5 * Omega, 0.25 * Omega]):\n", "\n", " HL, c_ops = system_spec(Omega, gamma0, N)\n", " corr_vec = correlation_2op_1t(HL, None, taulist, c_ops, sigmap(), sigmam())\n", " w, S = spectrum_correlation_fft(taulist, corr_vec)\n", "\n", " axes[0].plot(taulist, corr_vec, label=r'$<\\sigma_+(\\tau)\\sigma_-(0)>$')\n", " axes[1].plot(-w / (gamma0), S, 'b', label=r'$S(\\omega)$')\n", " axes[1].plot( w / (gamma0), S, 'b', label=r'$S(\\omega)$')\n", "\n", "axes[0].set_xlim(0, 10)\n", "axes[1].set_xlim(-5, 5);" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "/usr/lib/python3/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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AREQUYLwNvgD7fEk7xgVfSy1QU2PE7YmIiEgjvgi+7PMlrRgWfPejhhVfIiKiAMOKL5mZ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\nppaVK4GFCynvTm6u2NYwDMNYHRoNLceYMYNFL2N6ZDLKXJq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ISEhAVVUVysrKMGvWLBw4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\nX8oAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Software versions" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from qutip.ipynbtools import version_table; version_table()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
SoftwareVersion
Cython0.20.1post0
OSposix [linux]
Numpy1.8.1
QuTiP3.0.0.dev-5a88aa8
Python3.4.1 (default, Jun 9 2014, 17:34:49) \n", "[GCC 4.8.3]
matplotlib1.3.1
IPython2.0.0
SciPy0.13.3
Thu Jun 26 14:11:39 2014 JST
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