{ "metadata": { "name": "", "signature": "sha256:ac7e27a30b0c3bf19c20893e2f810e1885bd6b34eda0d06eeda52601a26899f1" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# QuTiP lecture: Jaynes-Cummings-like model in the ultrastrong coupling regime" ] }, { "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": [ "# setup the matplotlib graphics library and configure it to show figures inline in the notebook\n", "%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": [ "# make qutip available in the rest of the notebook\n", "from qutip import *" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Introduction\n", "\n", "In the Jaynes-Cumming model, the dipole-interaction term between the atom and the cavity field is assumed to be weak, so that a rotating-wave approximation can be performed. For large coupling strengths between the atom and the cavity field the RWA is not justified, and for very large coupling strength interesting properties of the atom-cavity ground state is observed.\n", "\n", "To explore this using QuTiP, consider the Hamiltonian\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", "Note that here we have not transformed the interaction part of the Hamiltonian using the RWA, for which the Hamiltonian would have been\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", "In this notebook we will calculate the ground state of the Hamiltonian $H$ as a function of the interaction strength $g$ (try to set `use_rwa = True` to use $H_{\\rm RWA}$ instead).\n", "\n", "The regime $g$ is large compared with all other energy scales in the Hamiltonian $H$ is called the ultrastrong coupling regime, and has been an active topic of research in recent years. See references below.\n", "\n", "\n", "References:\n", "\n", " * [P. Nataf et al., Phys. Rev. Lett. 104, 023601 (2010)](http://dx.doi.org/10.1103/PhysRevLett.104.023601)\n", "\n", " * [J. Casanova et al., Phys. Rev. Lett. 105, 26360 (2010)](http://dx.doi.org/10.1103/PhysRevLett.105.263603).\n", "\n", " * [S. Ashhab et al., Phys. Rev. A 81, 042311 (2010)](http://dx.doi.org/10.1103/PhysRevA.81.042311)" ] }, { "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", "\n", "N = 15 # number of cavity fock states\n", "use_rwa = False" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Setup the operators and the Hamiltonian" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# operators\n", "a = tensor(destroy(N), qeye(2))\n", "sm = tensor(qeye(N), destroy(2))\n", "\n", "na = sm.dag() * sm # atom\n", "nc = a.dag() * a # cavity\n", "\n", "# decoupled Hamiltonian\n", "H0 = wc * a.dag() * a + wa * sm.dag() * sm\n", "\n", "# interaction Hamiltonian\n", "if use_rwa:\n", " H1 = (a.dag() * sm + a * sm.dag())\n", "else:\n", " H1 = (a.dag() + a) * (sm + sm.dag())" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Find ground state as a function of coupling strength" ] }, { "cell_type": "code", "collapsed": false, "input": [ "g_vec = np.linspace(0, 2.0, 101) * 2 * pi # coupling strength vector\n", "\n", "psi_list = []\n", "\n", "for g in g_vec:\n", "\n", " H = H0 + g * H1\n", "\n", " # find the groundstate and its energy\n", " gnd_energy, gnd_state = H.groundstate()\n", " \n", " # store the ground state\n", " psi_list.append(gnd_state)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calculate the cavity and atom excitation probabilities as for the calculated ground states:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "na_expt = expect(na, psi_list) # qubit occupation probability\n", "nc_expt = expect(nc, psi_list) # cavity occupation probability" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the ground state occupation probabilities of the cavity and the atom as a function of coupling strenght. Note that for large coupling strength (the ultrastrong coupling regime, where $g > \\omega_a,\\omega_c$), the ground state has both photonic and atomic excitations." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(1, 1, sharex=True, figsize=(8,4))\n", "\n", "axes.plot(g_vec/(2*pi), nc_expt, 'r', linewidth=2, label=\"cavity\")\n", "axes.plot(g_vec/(2*pi), na_expt, 'b', linewidth=2, label=\"atom\")\n", "axes.set_ylabel(\"Occupation probability\", fontsize=16)\n", "axes.set_xlabel(\"coupling strenght\", fontsize=16)\n", "axes.legend(loc=0)\n", "\n", "fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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irmW3w6JFMGUKZGRAx45m0ct27dwdmVQwTnVLTZ06lR07drB8+XLS09M5fvw4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\nLS95qVnT9b+XiFRMFfdfQ5HqIjvbDPr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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Plot the wigner functions of the cavity as a function of coupling strength" ] }, { "cell_type": "code", "collapsed": false, "input": [ "g_idx = where([g_vec == 2*pi*g for g in [0.0, 0.5, 1.0, 1.5, 2.0]])[1]\n", "psi_sublist = array(psi_list)[g_idx]\n", "\n", "xvec = np.linspace(-5,5,200)\n", "\n", "fig_grid = (2, len(psi_sublist)*2)\n", "fig = plt.figure(figsize=(3*len(psi_sublist),6))\n", "\n", "for idx, psi in enumerate(psi_sublist):\n", " rho_cavity = ptrace(psi, 0)\n", " W = wigner(rho_cavity, xvec, xvec)\n", " ax = plt.subplot2grid(fig_grid, (0, 2*idx), colspan=2)\n", " ax.contourf(xvec, xvec, W, 100, norm=mpl.colors.Normalize(-.125,.125), cmap=plt.get_cmap('RdBu'))\n", " ax.set_title(r\"$g = %.1f$\" % (g_vec[g_idx][idx]/(2*pi)), fontsize=16)\n", "\n", "# plot the cavity occupation probability in the ground state\n", "ax = plt.subplot2grid(fig_grid, (1, 1), colspan=(fig_grid[1]-2))\n", "ax.plot(g_vec/(2*pi), nc_expt, label=\"Cavity\")\n", "ax.plot(g_vec/(2*pi), na_expt, label=\"Atom excited state\")\n", "ax.legend(loc=0)\n", "ax.set_xlabel('coupling strength')\n", "ax.set_ylabel('Occupation probability')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 10, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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ZwwYJuDgTjwPfLQgzETFjV6VclAlIlG2OeUaL5xnJ1EcxTcsguLbqmORCZ+Da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\nBw4gPDwcA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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Entropy of atom/cavity as a measure of entanglement" ] }, { "cell_type": "code", "collapsed": false, "input": [ "entropy_cavity = zeros(shape(g_vec))\n", "entropy_atom = zeros(shape(g_vec))\n", "\n", "for idx, psi in enumerate(psi_list):\n", " \n", " rho_cavity = ptrace(psi, 0)\n", " entropy_cavity[idx] = entropy_vn(rho_cavity, 2)\n", "\n", " rho_atom = ptrace(psi, 1)\n", " entropy_atom[idx] = entropy_vn(rho_atom, 2)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(1, 1, figsize=(12,6))\n", "axes.plot(g_vec/(2*pi), entropy_cavity, 'b', label=\"cavity\", linewidth=2)\n", "axes.plot(g_vec/(2*pi), entropy_atom, 'r--', label=\"atom\", linewidth=2)\n", "axes.set_ylim(0,1)\n", "axes.set_ylabel(\"entropy\", fontsize=16)\n", "axes.set_xlabel(\"coupling strength\", fontsize=16)\n", "axes.legend(loc=0)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 12, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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0bXsVbBERKXW68VFEKqzkZHvBPnAAwsJg3TqoU8foVCIiUt7oWHURkZ9dvmw/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\nH2ygAlN2+0IGAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Dynamics of an initially excited cavity" ] }, { "cell_type": "code", "collapsed": false, "input": [ "H = H0 + 1.0 * 2 * pi * H1\n", "\n", "psi0 = tensor(basis(N,1), basis(2,0))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "tlist = np.linspace(0, 20, 1000)\n", "output = mesolve(H, psi0, tlist, [], [a.dag() * a, sm.dag() * sm])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(1, 1, sharex=True, figsize=(8,4))\n", "\n", "axes.plot(tlist, real(output.expect[0]), 'r', linewidth=2, label=\"cavity\")\n", "axes.plot(tlist, real(output.expect[1]), 'b', linewidth=2, label=\"atom\")\n", "axes.legend(loc=0)\n", "\n", "fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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86y0aQuHX1YnPmHq7HK35QhSB46eDAyivuwgCp7aWFgrJyfQVCa8cnLi4OKxd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\nECDAMYeA4AQIECBAgAABjjn8P45W77M/SKZ2AAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Fock-state distribution and Wigner function for the cavity as a function of time" ] }, { "cell_type": "code", "collapsed": false, "input": [ "tlist = np.linspace(0, 0.35, 8)\n", "output = mesolve(H, psi0, tlist, [], [])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [ "rho_ss_sublist = output.states #[::4]\n", "\n", "xvec = np.linspace(-5,5,200)\n", "\n", "fig, axes = plt.subplots(2, len(rho_ss_sublist), figsize=(2*len(rho_ss_sublist), 4))\n", "\n", "for idx, rho_ss in enumerate(rho_ss_sublist):\n", "\n", " # trace out the cavity density matrix\n", " rho_ss_cavity = ptrace(rho_ss, 0)\n", " \n", " # calculate its wigner function\n", " W = wigner(rho_ss_cavity, xvec, xvec)\n", " \n", " # plot its wigner function\n", " axes[0,idx].contourf(xvec, xvec, W, 100, norm=mpl.colors.Normalize(-.25,.25), \n", " cmap=plt.get_cmap('RdBu'))\n", "\n", " # plot its fock-state distribution\n", " axes[1,idx].bar(arange(0, N), real(rho_ss_cavity.diag()), color=\"blue\", alpha=0.6)\n", " axes[1,idx].set_ylim(0, 1)\n", " axes[1,idx].set_xlim(0, N)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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9G17FJRikqWzAb3oCdfIM6uQT5M9fQiuF+HAIFkmwOAXPDgFVIEpGXsVHQWKC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\nfslyjLHi8HASUi5MJCPJEhZ667xmpnvfP3bvnu6ennf3TJ8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B41tIY+JNQ8CJqOZsQEAI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pgNqGM2oI7ZgDpmA+qYDahjdmka6RRCtNzAjh07cMMNN+AXv/gFXnzxRfzRH/0Rzp8/H9sBkv5A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\nn3T82c/+p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"text": [ "" ] } ], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Same thing with a little bit of dissipation" ] }, { "cell_type": "code", "collapsed": false, "input": [ "kappa = 0.25" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 19 }, { "cell_type": "code", "collapsed": false, "input": [ "tlist = np.linspace(0, 20, 1000)\n", "output = mesolve(H, psi0, tlist, [sqrt(kappa) * a], [a.dag() * a, sm.dag() * sm])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 20 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(1, 1, sharex=True, figsize=(8,4))\n", "axes.plot(tlist, output.expect[0], 'r', linewidth=2, label=\"cavity\")\n", "axes.plot(tlist, output.expect[1], 'b', linewidth=2, label=\"atom\")\n", "axes.legend(loc=0)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 21, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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C/ttvLb8nL0+GG509G3j1VWlQRkREVjk2KLP1dcsVEACsWCGNwnr0kLmcb7kF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\naTQkKDt07GsA8PMzfa1VX2/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"text": [ "" ] } ], "prompt_number": 21 }, { "cell_type": "code", "collapsed": false, "input": [ "tlist = np.linspace(0, 10, 8)\n", "output = mesolve(H, psi0, tlist, [sqrt(kappa) * a], [])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 22 }, { "cell_type": "code", "collapsed": false, "input": [ "xvec = np.linspace(-5,5,200)\n", "\n", "fig, axes = plt.subplots(2, len(output.states), figsize=(2*len(output.states), 4))\n", "\n", "for idx, rho_ss in enumerate(output.states):\n", "\n", " # trace out the cavity density matrix\n", " rho_ss_cavity = ptrace(rho_ss, 0)\n", " \n", " # calculate its wigner function\n", " W = wigner(rho_ss_cavity, xvec, xvec)\n", " \n", " # plot its wigner function\n", " axes[0,idx].contourf(xvec, xvec, W, 100, \n", " norm=mpl.colors.Normalize(-.25,.25), cmap=plt.get_cmap('RdBu'))\n", "\n", " # plot its fock-state distribution\n", " axes[1,idx].bar(arange(0, N), real(rho_ss_cavity.diag()), color=\"blue\", alpha=0.6)\n", " axes[1,idx].set_ylim(0, 1)\n", " axes[1,idx].set_xlim(0, N)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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KLV1ouhfazy84iCXQxGMvotMYgx/8wR/Ea1/7Wvz6r/969jO7FJ0kOJvE5qvTEhfzCjMn\nOmcuVHZR1k2do8LeJseFFZ1jrXD1eBSJz6NREJ6ANXB3KTy7is6uPK4yiNPuc6ch3SvTKLuPpq88\n6sTmvKQqpfa9eUnCNP8bqUhQoazo5MYpCQ9uvDYde86AqglIFQvP3I04+z0sNqS6TsZ98bhokm0C\nj1Cnhi8XEzZS3SwsUgEfH1uIjlJ6dVkFB0UXBwQ5ieh6oPTrTQvPbfNYb9f+beLI/5+81hZ15EjH\nQs5w4cg7EepOhXo/wWG0quNgG6Jzk/Nq6MP+bROcORHYJObpmIDYUKHnKXLCZNkiX0C+qNemhec+\n8sjBMzj4sSyTeQPkHaBAPD5zQrMxXZraZX2kYz3lL369X6N3n3i0/dRfa3MetC3X8cfl/q7jQOhy\nzaTXSo4/+39/TjzCvvFo+6q/llt6xY8NmdeBZu6WcR50WeLF29nWGOTYqOj88z//c1y/fh3vete7\n/A/70Ic+hP/4H/9j6GjLonOR4DwvK5SVwc3zOWaVwSsXc1yUFWalwcW8zEY5CWOtcDQqMC4UjgqN\nO49Gkfg8LrQ3aE9GdkrepfDsKjq78th1EHe5suhUpIITsKLTRzMr4zhkXBqDaWmjWrMyLzppUBXa\n/u8jXTo1UJU/lnTTFLq55n4P/w4XrtzY7iI800l8HdHZB49tk6z/TOZ7TZMlF5whHTb8n7afnofc\nRjZckKQR7yYnhHUyWOcDZSOQ8LRiNKTQb0p4bpPHFE0RsVyEM+coAGIRwZFyFZ23xBkTjiduMyc2\nczd1IIwbHrFexXGw6nS8Sx45Uk7bBGcq7O33jT8GQpMI9MfL+2f/t/XRNUOkzQFExzZ0Hgnp9d/k\nQGi6R+XGJNCegZCKEs5nfGyI2uJ9pve/Jg53kXmwaR6B1ZwHTeKeHxOhLYMqbaMtY2UZp9M2skeA\n/eIR6O48SB0Hi0R9kyBsP5b89ULvcSxyAO3KedBbeu0ibFN0tgnOizJEN29NS5zPK9yaznHrworP\ns1mJs2mJqUuxPZuWvt2Tia1oOhlpnEwKnIwLjLXClaMRrkxGuHNS4GikccekqAnPXabaLpNeuwjr\nRMia22T/GxNtT0JRTi426e+0dO+VYX/UnHCx4lJ54WlvinHUS6n8IFy01QAXrF7ELhCd0WuJQdxm\nRC2TdrIIy4rOZdcr2O/EUbLKcGEYF4FKJ9CUi9R4aopyhminYWu4w5rqcWGvhZEOUe8xE5+cR2Az\nwnObPHI0CU77fLHgLE1zKlEqSFLOchkB6XHFEfB4fS5PmQ7txunyPGKdbo1EfcdjcD3BsiseOdqc\nCIv4bHMepCIwndPyx9Icqabja5pDgfUj15sWnV3QVyYQ0Cw4S/4c9fGTHg/Qnn1A7+dET5lpe5Hz\ngHPUxXnQl8G7DzwC6zsP2n5C05zadMoWtd8WiaP+CtZP0YE/fpyrYF94JORsoS5cAsuLev566D8v\nZrteL7lrhRzru3Ae9F69dtdIq9QCaBScr1zMcWta4tZ0jhdenWI6r3DmUm3PZmWt7ZfOZgCAk7EV\nlyeTApORxswJn1lZ4c4jd0onwDE0ACuSoMMazyGjSay0QbMp00ABJgzseN1mLDinc4NZVdlIVzK6\nC23b0CoUBapKN3FquMqlQFnSoIwFaGlM5kYc90FCtTLNhaJyqWj2vIT34v93X2Wzi+Bs8+Kl67to\nouSi0LDnQD0V1hgVnV/ipUvBIRKcs8p+uqyASlP7OhjRRvlCQUopKGNvqnYyjyM7/DUD7F01zXWw\nSKDwQk1p0S4CTbc0lpUy/oZmlIKCiarNpuqjbX0uXSP8ulQKMMoAlRWexgDGFQ8qVBhTlQE0wtY4\nxN3QsEhw+jFX1c9zDYY5DhAqfRtlv8hFKRBngrRFqiNj1/UcrhewIl+WOGUHKdBQ5Kt22Ac6/nLI\nGbY5hwF/DmQMUMeXLajXzGMFlc1kaOIzHGfsVKWxXpogVlQy6vh4pN86hHm0CW1cAnG2DxWwXCRW\nqPK6BrLVnmvRVHS8XhAL20IrzI2xcyqNVWMLZ4Y5dvc2y6bQRXA2cdlkI1EBPBqDNDZKdz5ry8yS\n/vj4bLteAJa5xfrSyn5PO07bnBabwOBEJwdFOSmllgTnV27PfHTz5Ys5bt6e4Wxa4qWzGYtwzhvb\nnU7saZuMNO46GWM6r3D1dIyLeXI6nfD0qbrazv6HvJVKG3Jed2BxdKzMzHyViQXntAyC82Ju3Brc\nyhqmyfe1UiirWHhGx1XZiqUU+Syt1IUpbZVbEp8l/z2ZX6FNfbRyz1KXwWxMs0G8i5vvIsGZevJS\nRDc79zdsbROvzyXhmRqkJCisbaQCj1ALzweJFBK0dPxVGT4x1hpl5RwMhQEvLO4uD9AurTTh60SM\nNgnPQ0CXqDVViDbMQRAL0CaDhYlN5zggMWEiI7QuXFLBmfYZ9ePah3aEaTuOCth5v0A8eBZxd4iG\nbnpOanoDCYdViFbTOQbqc1vOcZBGO2n7ISBvEKVikyLVqSFWon69oLLZLgUMjFHemUDCkzsVDnUM\ncixj2NL/QOxAoLHSBBulCoKQjFE/LSYHkYpN3n7qdOIOJ37NpBXCCxXuqSmHQ8EqXC4S9gTuCCJR\nnzoQyKmXi4Lz/cy7Xi9VZYUttALfXoz2rm8Snoc4n6ZYl8tcG0A9Wm1U4K9qGA2p44BzmUvb5g5f\n4pDGoTEs8hnNrdvhcFCisymtltZwUoSTBOfzr1zg5u0ZLuYVbp7NvNC8mDf5DeDen+JopHE2hRWc\nJ+P4/bICMLFPJgCg/ZkuCrWzrVQ2iZzg5ONtkVipfQ7BSKKU2vO5wbSsXLEninKGCRAIhhANnjZj\npKwQxCcUKmUAE4tP+lyKQsfPteubJpLCH0f8u9LfmooZ+/p+GFGrbKWBzGdzgjONevJy7JEB6kRF\nF+FZJdegjcyFm6tWsJt1ooJWhdsyR3nD2CRCxfODPFeHJF6ahl16XXKRQtxVTPzxKtGcN8CNNUPi\nJBigtI7ay3tDzh7nYPCGURzhDH3mMxmMAlBZx4Eydv23prQFJNHOATkNUnAOeJQTCMYQCRS+/rnJ\nebDIcUBOg2jOB/xruUrS9H/6PdsfpUqT+0fBM0RZQiyKzR11KfZ1/K0K4rIp+4A77XLOW4DGmL2/\nBUEYjNG2Nda59vk1U8HUnRRuzJvK2Tfu/kzC0yBwOGTR0kWkpHuNp04aAp9TAbfW2m0JVyi7pj3n\nQOAChe69QN2RxyPW1B9tMZdySMKTc1hkOBwS2rhMs0jSJUMpjwBPcw0chn3D68uITNJXmnXUJG7J\nDrWR6tBPAYPSjds4M2jzHA5KdKYI22rYv7emJb5yexoJTopunk3nC8UmR/isFaq0FhR3HQMIVW6P\nRxqltkbTWCt3gfX6M3eONsEZiY9EpKQGb+2Gx0TnhUulvT0r/bY2PBI5qwzGWkHTmllWOIjQNpji\nFE4DbRTm9Qxrj7KCNXBBa5FojaiKcuZ932j3LPpzgP3y/HKu2sRmzqmQeua44OQVh3kqPGAnvYL2\nvnVRLC48U07ppuoSCfw1WCZtlwBQALpSqJzgXBVckKatHILBFJ1xMixzn3OvGxMexFs9y4C4g09f\nJ2PXpsCGlGm/cbXh37bnNY5WhzXb3DFRGZdJMALKSkG7PisAzi6L9u9sE578t+47b4TUyEi5C+cy\n/G3aYirnPGhzHFD6rWEnq57eWxcsfBkE55Kul6pyBq4mZkLau1I2+4Da5x76Q3YepDymxq2dO+3/\n8br4erZIk+gErM3BBWFZ2pRJ7kTgx8SN2iBa4uslOIJC1pAXnMp4LhUTLRS1tpqp2XlwiGg5/Vnn\nAYmUeRVndHAHDYeNVrn2FAUt4MUndyDwaFt6rdjX2sWKhoLRlsNKGe+kGDPhCdg5Vqk0gTqcj0Ol\ndxGXqeCcVfHfnIMGCEuyADcOEw5pDTs3PXOOg7QYY3rMyvfh+tPWCWTVrH1zpOjevl0n3mBEZy7K\nCcBGOecVbp7P7RpOllL70tkMN29PG8Xm0aheMzP9rH0+BzDyaz5x17Grbqtx83yO4nSMQqlsmu2h\nY5HgzC2CzqUfpJExGrh8/ebtWYkLH+msIkNpXGjXhi0UQ4KTjJoUueglHQ8Jz9xvBMgAUtFzMsx4\nERP/fdi0iZzwbIp27gI5LlOkXNrvuQk20xafmEm8kKAI0eq4LxIVAKC13TaHgh420hFPhLlTxvmN\nI0HKR0BThJQTOo76b+ce3vi9wzB6u6yxtp8LnychSFySoyBXIVgrhVkFjLWOxCcqFaVM85sv79Mk\nD7pGUsfEuFAhTVorVLDRTnud1e+UXqyo0Ne+ZRasgkVRTmPYX8QZBhRB5k4a69AJjh+aRysWxSLn\nXJoEmEZpIqOs5JkHyTVT2T7GhXI5ZlasaBX45Gm2A7htdoIx4QyXjCPjhGiaLdJWwX1cxGLCXu7W\n6E1TXGmspCKIHEB0HJGjogr323HBnAeVvZ5GWnlnEBm7hG1GWbaFJucBF5zkUDcJl3VHLPx4LN3c\nSVFI6LwDgRwDKZdeHLHxyMEL7lVQdqmJzfu0gjPjPKBI2VCjnfFSgVhwphlcqQMhrTfCnTPEYc6B\nAFC6rUXqOKAxOZ2baP72/TAeKQBCczsJz5IMK6QO2s1yOBjRmYJHOc/nFV5xqbVdBKctEjSyVWrH\nhX/9bFZmo6IX8woX8ynuOp3YVN3bM1vZtlA4Hmm8Oi0xPlY+2skxlBTbrtUwm6ob5jzlflsUJzi5\n6Jyzkay1AlzKJBC2Q6EBxwsV+QIWzOBMEQSTG8zppMF8w3bStdVQx7QNh1Z+MTht++IXbXeMeNLA\n34SnqStSLvnrUeSTXmc3WEI6+ZbuRsfFBL/5kaev0gZaFdCuWIwqTCT0CTSP0l+Oivplr2vnrbXv\nh0k3aq/LuWFOgnor++Xl7agzParkL7VBPJLgzHFHggWofDRyXNBaEhetVjaTgNqnSKTtM4hc3k+6\nBqk0xt29NLQyKJy65UWhrN0b80RRsn1aR70JcGPXp9VWLFpd1Xkk+ErflRX2FROfSiFyHtT6TQQn\nCVtyLvFK4wQvOMndowFt7P1S6Xy0k+NQOUzHZU6o0DxLnPH7Is2nZHhSjYMUhQZmTNhb4R7WkqWz\nF3ccpA5CEkNUpM33wRy8ldHWYU9rrV3qO5zBTXMnCZa283MIPAKLI2PBecAyD8zyPI61joU96g4E\nAs8ySEXKubNfiUcS/sQjOQ6PRtqO88IetCrqY5GcsLn74CEix2XjmDShZgwFSWhuXcQj2adZ8YkQ\n7ST7hQtaKqIZO/NCH1rZPohHM7K7afilC26OTZ0HTeejz3E4KNFJE2Ia5bxwkbGLuU2Bfel2KBjE\nQWLz6skYd52OcfV07LdFoe1Ubt6e4aXbM78GlItPXnxoMtJ2P89C++/zaGcxAHdtOjgXCc7c9gtc\nZJIg5HstzsoQ4STBeTGv/EArlII2ceqsVgpHI23FYIFI1BujfPoeH0z8t/DUwZAmYWppfSGqGrZp\nKLSCLmehMW33bi2rzEzGzhe/Wezr5J1LwUzXHMA/D9FszzNCuh2vMFs5gwoAKg0rNGGNXetBpYgH\nohNDnkCt7ORJnvxFadS5aEsUOVX1bRm64NC8vF2cH9HnaXwm3IX2yKFjUBnlo5Gz0nnOlTVAbTDL\nCk/FBCcJolTg0o28JoyUcX3Z/owBuA4yhuzedM10nJ5Jx34o3DXNu0A8Rkt+XhFHq7mIqBcVMdAu\n1bUqDMbGVnxGkazzdKErlZ5zE0fJqJ90rPtj1qkTwQlOV+TLHn+IdkKpg+dwEbhQ4SnSlTF+fKTG\nZ+78Fi5Xb6xpXrTZASRavBOhhUO7lCUe8zNnTdNyISs4FcZ2oTUwt/aUMiSGyNGXFyxDgi9elxEq\ngFte4pwxJDjPZxXjsWG+0wpj5wA6NjrrQOCOIJ52zYUQ72OW6Wes7dxdOh/Q0UhDuSUMc3Ie7Eiw\nbBu8qFPqPCh9YCsIzqV4nNugFBeffBmK7TM4gLigPXeFNCtjNU4ueDLWFcaFxhHFzXzmZqgmD62i\nNNttRDsHITq555RXdmuKctr1l7FgPBppXD2d4K6TMe6/6xhf+5rjaO/NC9fOi2czfPnVCzz30jm+\n9AoAhHafz6QoAAAgAElEQVQo1XYy0jbaOSlw5WgUoq7J2s6hpNg2pXjlBCcvgMC3ROCikwzOsgIu\nytINYvuYl+Qxd9zpWHDafRc1RlphUtgJ1IoRd3ywg7rUJICsI4CMMm4o8TQXL3CVnShocldMcI5I\ncFYlYCpAuRirHnlhVNbnhuRc1tMOt4FUdPPjSYs/8Sg1fTcVnGm7JDa9mGDnN+qvNC5V2o7fMayT\nIBflBEI2nkrOaxFVVugGKgSVpps14ZCinRxLas0IfE0eGbi1YkLaRTwr5RwIJPTcFjVATXjy8W/F\nkYvCVVXNONLOwz+rDMZunjAa/johkWIzCwComKsaT9hPJ88itI1T+p+vw6Z5159bZxjNynh9fNhT\nWtt5WsNHItP1utHcmjgPqJgXjffglUfEZWXsmJ+V1okwKw3UyDkIjS2uwbc0qszw6iKkQoXDGB5Z\nYWl9VTivF+7+OEsbKN26dx3S7MaFdZ4ejXQt3Z07gElwciOa+vBOQmO8Ia0r209pFDACdOnaTYq1\nmUzV96GhTahwUU+Ck0SEPd9tYkVh7NYLlUa5iBkr3sRuhGla9Dnj8qIM8ypHoYCq0JhVCsdMHaix\nhjbwSxi484BAtsshO38y2s2jYryFaHUoWEo88rGYm1vHhfZ2ZGUMjoz2PNpsIBPdpHmUmvNHy8zo\n3lgxLkeFxkwB44RfzmMBazdRmu2izIO+MAjRmYIq1toCNHGU82JeYeqiZQQSnF9z9RgP3H2C++88\nxhvvOsbVowJXxtYTcT63hYhuXpR45uWxT7vNCU9q/2xa4tbFHFcmI5zPKxRa4aiwImfElMUQUmyb\nxmqogJmmJNiBNC/DDQ4IN18SfjbiGBdTyK3HKxS8h24ysoLzuFAYFWHTeLDjKF3KT2ko/chgXtIi\n+XqUBQBmbi1ZUQFjFzEFlI+MqaoEqhKqmodz0lCshv8ChXra366RnuFclDP7PTKekrY8vwhrHMI6\npbgNSoElx0O6JpcMXcXdgYBLozYLBWdql/moprJtKqwu/Pf5hptPJa+/tkivk2ghwyjmz1D42QtT\nwKZq6gJZB0Ls8LB/KdOgMvA3VRqHJeyg1c6YGmvj5pBQSTE6XgRh5I4wGynjx7OnFHZCFGFBiI6R\n4W/3lM6LCACYgQqhVT5VmvIKbAQbvtq3NtaBmnrmaewGsUnOprivEgaVDn3o0qBQSVVpxkWFYaXY\ncvDflEbHUh690yBjgKYgITE2FG106cxzhHW0JmQBAYginKWzpSiiQqmZYT4xbk2n7afQBWhvZM4j\npb4XCE4gMnQPWbC0CZXwmcAjT6slIZFyOM+IlVRIVMZmIlQu6hkKCqkQHSvrjonzedxH7Myz7fNl\nYIUGxpVdpkTrNksDv2WcwXAj1nSv4M4DsmHnVcwjCU4qdpmeX8A5D+YVRs6xbgNQ9h7Go9e0JIzz\neFGW3nmQZv1xcVsoQJd2a7ijmq2joEeWR6r2njqBcvfQPufTwYnOOb+hOQ/EhRvIPMrJcTIZ4a6T\nMR64+wQPvfYOfN3VI7z+jjHGt74E/epNqOkZTicnuHrlPtx791XcMS5wzIoMfekVu40K4Wxqo51T\nN7hvTee4c1LgjkmBecaIPkSkItH+X49yRp9FMCRJfOSqJ+b23iQUyhpF6WvarVc5KgocFxrHhfXk\nTopQ3IeOxaebVHbAT0OtcVRliLLyGy0QvPKFUiiL+BgUAGUqG+E0TlWpARC9JGiPMEL9+gjnt2K8\nNxkbtIbWtp3vUwO2iEKSJraMcOTFg4IIjX9LE8hgSg3fQ4Z20cdFweL0purXjFTuXDqxCcCPHZM5\nUTQP8CjZrAzCNr2pzsoKhdLecREL12Dc+veSaGcOh2DwppdjTnwBdacPR6gkG6fZcVhONTtXTni6\n6s/QJghPF122n4odiGFNYN7zz6GVQaVD+juJIIpeQyG6dtocB/uOtmklrQDuX0d8v5xVFLlqFiuA\nHS+lgYtCgqXZBXeMVpbLaOwZE4mVtI8088BGwyucuzFUaOucJR7NCrPjIToPgMTx450/4TWyQ7xz\n251fe67rxdMKFcQgvWx3SPCLTFzatHWcp04fLmqpj4t5mR2Lx0Y7R5Cba7XCTBtXyChEyQB3rR4i\nQSuA27fhOaXWxoLT1nmx55evfy4ofdnd12iXi8rbk9o52o23N/n1kArO27MSlbFbCXJQCm9qR48L\nmwLPeSQnkHH2Dq3P3dT9cDCik6rWAnFqLe3peDaz5lM2ynkyxpvuuwMP3n2Kr7t6hK89rjB6/h9R\nPv2PuPji5zG9+QomV+/E6GvfhNMH34EHXvv1AI5xPq9wNitdVDNO1526SOfZrMTdJ+MoxRZQmFdm\nEOs62xCnYObLc3dBalAULKdrrDVGhcbxKDwmhYt0jhTGqKDKGdTMRR+V9cSaYoKRtut+CdaIof+N\nr5BLhq9WCnApZ7wwh/+9SkMpHcSm+5826PXe6/Q84fDFCi8G0wa+ppLvG5ZvM5yVdO5r8qrStcL3\naU0j410MVGp/kfA8VA8v56qNt9z5o+9UJo5A2i8AJDypUnDb1c33+QttGx8N4NdJuIG6svI033vH\nRdx2tEYFwFBdQKkxBIR5KRWDnrNEePL0LFuYTQFl5auCE5feUcSdCY5Dnx7NxGYQMIh45H3NKGWb\nCc4cyMBtM3QPwXHQBfwMpEauL7LlHHczcq7TOq9kINg06cqJzcpFMbSrR2BcCm5whpP9GoqhGN/H\nPOM8KBRdM9obytTOrLRiJZ0DKGI9ROSuXuPGKKXX0rmhqCMFRy7mIdU2XZtbGqAsFI4BnLPXLWxk\n62IexEq8djsWnG1ixW7G4DJJ/KPCuFI+AmqcLaOUTdFsS80cgi71YxB1Hi9Y3RguBs/nJcrKRPVj\nCq0wGWkck9OBcawVfPaBrd5v32sTnOdzW9yU1pfyfk4mhWtXBedBqTHTIdOSeNzmsoXe7sOf+MQn\n8La3vQ0PPfQQfvmXf7mvZnsBT63NRjlPx7j7ZIxrr3ERzuf/P1z89R/jS3/8J/jcH9zAP/1f/wP/\n+2N/jq/++acx/ZsbGH/pc7j/yghvvOsY991xhLtOxziZjFh/IdX2bBpC4pSW4tPEDCJv1j5gFR6t\nV8T+n0Y5F4HK79M2J0C8xybdCCmaOXKFmcZa47jQvkLw0UjjqChw5FJrj0YaEzOHnr4KdXHLPs5f\ngT5/2f69eAXjaopJoTFxayVyA46vrUjX3QTDzpWz1gWgCxg9ginG4X8TUlCWQZPx1QV9jEee3pWD\nX5buhR49VyxyGKeJLAJFpfmWN9bHoFwUcvGs6K+jNe90/PcsA87bGhQCWJ/Hrv0vc5ghPTqMDy5A\nm65b7YV8/HoQKywDwlARjPo4oL7oO/QasPr53vQs3Pf9sW1uyK3nJIQ1ueHckggs6bUqpE37QhlV\nveospXsCgUMe5eTiNnpk+gprPePjTI9/19iVnZOjmxyjVOsgWntJUWwTCo14weij27yQlPFCiKKo\nPL099GFtGX7t2Pftd+YsKprOg9xG2DU2xWP8m+NNhSqEaDWloBOHFByxdqIVEhS4oP/P56Xnl84z\niVa/HImNu7RwEPF0Mbd1Mmhv+fRxPi/98cxKEjTwj3XvaX1i0+Ox7sgMPJbG8khFhIgXEoNn0xK3\nzueN55h4oUzMmK/KR1A5f6ngzLWd9mP5Ds6D1KkbF33s/RTW0EuksyxL/MRP/AT++I//GG94wxvw\nb/7Nv8F3fud34uGHH+6j+ZXA13MCLvI4i5PFjkYak5HG1dMx7j2d4OpRgfHNZzH93P+Lr/zff4//\n86l/wtP//CK+fFHivqMCDz7zCr7ufIr7Tu/E8R334OrRPbj7xFa5ndzUvuAQYFNsr56MAVjRC4y3\n+vtXwbo8LhJVLgvHGfM2Raus7J6XNBn79Du3x1e836bzohbaX7hUIfjUpTxPCrtu9kgD6uIManob\nan4BVHMoU9loZDGBqeaAqVAAmBQTt7aTNkNfLDJ4VVu/PlQBKMY+2knbpRiQMZ4X5H2nhm1jPFIE\n0EeGSXjSc58LlxxbUhWYwCOTY22dDWO2Hle5ZQe8cEkT2gzyZaIgwblgaq/ZtsL7bQWFVsUmeORn\nJo2OtTkZ0tOWViANvjPjUmtVdsZLo5rhWOK/iQM+E4mLU7P3Gftwf6QIGUDGIxN6mUgypX3kjBBe\njTQHinLy9fg+ytnYl6rxSOt09yUNZBc8msyYNAaRoUsCngQjj14V2s6hs9JuKTaC414bVCaMo4JH\nKFmkml8nto8qGyGbFBpVBZQa/rPdf+N2s0W2zWOOPyDmkKdLU3SMoldUFb9ghoIeF34clZXBTLlc\nDh0cCNxpUEZ9mFofhMlIR47E0oQ19fFSGXI4pVkq2yvy1TePTbcRch7k7AC/9VTFo9aVF325SGd6\n79RK4VxV7v3CZ5KUPtJpIkcOXSfkjKAHX1p4OikwdXVkjkeFPcYiVDP2v43/9i3x1kuk8zOf+Qze\n8pa34MEHH8R4PMb3fu/34qMf/WgfTS9EarzmFtLnXiOcjAu85miEe0/HuHpUQH/lC3j1nz+HZ/7y\nf+Hv/udXceMrt/E/X7nAX3z1Nv7p776M5/+fL+Dsn/8RxcvP4e7jAve6bVX4fp4E2tcTCCXG245l\n19gkjxT9opsgFf6hVFj+GPlJFpHgpGjo2EUmeUqtjXaGNtT8Amp27v/qi1ehLl61f50QVbNzqHLm\njgnu+Jp/QxBGIYpGIpKqmE1Lgxk0Zu75nCYlH1no5XS2YtPjkUcA6VE4fpVikU/2HTJ66YaYA49y\n0n5kSoW9O3MIhapCugsQC1u6CYa/4VpKUZlYfDUJztzzvrGteTX9GSk9bWsgQ4SKDNY1jiONkrVE\nTfcsQaQV27w/1q/RenQyd05Tg5Kf3/TzTRkExmTaqYJjIL1WeNvR0piG+SE+3sWf6Ru7tHMIlalz\nyJ+TGPTbOVQU1Yg/l46fUNQtziIgg5fz5z/LBEuZXDPhtf0bqLvkkWdJVew8UlEoEin04M/TscTn\nSLouKBoJxI5xiqRV7nrgbUfXSnTNcPHp2nJRWsIu6d0kj5UxC7NfKmZvkF0fIsP2cXtaYu4CYPSX\nc5qO5bRSO60HpfHLrxN6kODk45HzGrIWwvVgnVnud/RyxrqjF9H57LPP4oEHHvDPr127hmeffbaP\npldCZgvOLE4mI5uWObJRstH0FsoXv4yb/+tZvPC5F/F3L5/7z5YG+Jub53jxf7+EW89+GdXLL2CM\nCndM7D6eR6PFp/Ki64HtCF155MZhV9hoVSw4+bYmk0L5NNexDtFN6ocGE/f62eJBNsI81tp/d6QA\nVU6BcgZVTqFmZzCzC5jpOczswgrOcgpbNWhuq842gItdEqfc6KqY2Mw9ZhUvlV5/bAKbGo/c1KSC\nO/xBDgUS78rzZ7/Df25l4uvHF4NyFYgpymnbcWtGmPqh81eBpQAaU1vvxNvnSA3nCiGqQI4Enp64\nCyN3Uzzmfgt/zSz4vdFNkvHYNB9EPCr4yHXaHzklumBZb/ou13Pu4v5oz2eMePzFUSxgeZHQFO2s\nGar0t+LXzX4Kkjbs0s7hqcy196p4LWzbntC5dlPwQn6cu5zYTJ8fQvbBvtmrHF7Ep5kkiaig9YCp\ng6ipPf/cZNrK/F9WprY2eN+wq3mVLm1yHEROgMz55QKfP0/Ffepk5eM5xzO1wQVn+lqKZeaGTaGX\n9NquqRFPPvGE//+x69dx/fr1PrpfG2TgoprDzKaoZnOXUx1/7qw0OH/xHNV0jurWS35rjKPRfi2J\nv3HjBj5948bS31uWRwODxx67jn/fwiPtowhwQ7Hejx3AVLTE+D2QCNyzR+LDb5OiNUaFi5QpWF6q\nuf07d/tm0gOw1WWpohilwro9NOdlWBtBoP5IfPJ1iqWxmcCo4gXzTdGhXBSwCX/+6U9bHpc0sLvy\n+AQfj4/Vx6MtwNJeSCftib5DM3MtLZPxCIRrgkezCxVHukmQAjx918IYWi9LnsfmSRwIToTcsVUm\nFEagQjUuI7zTb2/CjRs3cGOD45HzeH2NeXVZJwi/gVWVgU62SQFiYdKUWltrt+E4dNOgcsh9jQvc\ndVP49o3H9Oc2sbfIibAIuTXSlBFCL5EBxlNrgfUj4E2nbp0lCfvG4yrw0aw1jcgmx0FpuMAJ/O2T\nmDxkHlNBwZEK+mKdi/0AcIg85oZBKtKbRN+oA5+HuI1iVx57EZ1veMMb8PTTT/vnTz/9NK5du1b7\n3H/6pV/qo7veYIsKHdkF3GUFc3oCfcdrcPzaq7jztae458VzvBD208D9xyPc8fpTjF9ziuLu+zDT\nI5TVDBfzcq+imOnA+uAHn+z0vWV5pMly0W0oFJwJ6ak0nKjqKUWX5v5malv2e1qZ2AsYRyCpIJEK\nE5HSMHoENRpbAQrAVAWU1oAewRQjX+ingkLphCbf/yy3cXIcbbMiFTCoFOyaTlcYPhU2tK8kXwO5\nSHgSj9TGB5/sl8dfYuNxkS1BPOWmQT6HViZst2EUN1bqEZBcO7SW0+4JFgRnbi2nMcn6I8cd7yOq\nsOjSdKlQFRWxSkFrNNPflgP93jbUxuMGeewKvrURR9ssplsleBCeHCROeGp6LspJ6T5NqZW8KiZf\n/5sDHWHOKFnHfttHHnNY9U7UZuSkjrdOx7FgTsn1R84mIDgp+ra5D4XHvsF563PdHV9vmI7NTRrO\nQ+AxJyj5a03/E9ap1EzrC5uOYZGTry8MgcccCq2idZb0WqfvqoT3RXuXNfTf5bW+0JXHXrKOvvmb\nvxmf+9zn8IUvfAHT6RS///u/j+/8zu/so+mlYdM2u3/+Yl7h1nSOV6clpnqC4t6vxdU3vwH3veNe\nvPM1R7jHlR2+Z1Lg3VePcN/b78XVr78GXHktbpcKN8/nnddpdknB3SX65pGv+VNk8LvH2K/hdOsx\nC4Wxhl3PqWIxwAVL05okQlkZGD0C9AgoxjDFBGZyAjM+gXJ/q8kJzOgYZjQBijGmZeVSYW3Ofagm\nFirx5bb3qFw657wEpqXB+dxVMKvg2/OpD6ZeuGVT2OZ4TNd3kkOhixcyLTjB11pSOiZf1xk5FRAK\nJVDFU4py5pwGKXe5tbvGCVgbZTe+NDoVgUrTbDdN5bZ43PQ1SRy2XRJ8nRAf31zkpP8vase3gfh6\ntE6h+DObNK/26f6YgsrppwhOGhVlI/DvtfK5wItVJDzybAZgP/ey3icefVV3Jg5C9fe48EyRcBgc\ntuy1hEzKNrH/1zNS2voI39nPSM0+8JiOJYI/nzXnXXjdF1dk/PB2QsV/nj0UeKRtO9LiRPT6ZKQd\nn+x+7DONVJSxskuKd8FjsHfoObs30fKrZGzQuZ44+58/5+eZj8vaeU84BEI/R6w9avuI8Uv1Mfix\n0v1YAb4Wx7bQS6RzNBrhN3/zN/He974XZVniR37kR7ZWma9Q+X3kgCDyxrr5jJ7NSrzw6hRfuT3D\ni+cTHN3zdTh609vwNf/2RczP5rjnH76Cs1enuPO1p7jvHffia77l7Zi89RGUd1/DzYsSL5zN8MKr\nU79fJ8fJuPAX2rhYfCy7xqZ4pJ9cKFrX6SrFGgNVzexn9MhXMKQ1gkC78RLlv/uoqMLcAOPRkU2j\nBWzEs5jDmMpGQIsJzPgIZnyKmRrZRd2VwcXcsM19y0i0jDVbB+X2k9OVjfzQlkpKAWUZBnGhAWOs\ngKqMrdCneQ5uAhJt62KTPMapk/Yvj2BXULDJyrmKp/Zvup6zNPwaUWxCz1er9esvEaJjqdhsW1/I\no9B0AzXGRp8Ld5xahbRwAJY391u7RDf7wC7n1TZw45aPEc2zDxT8zZMLiHxk2f5tcyg1CaPljjt+\nvq2KmZvi0U07NWgsdoyTkUP8pSKeG1A8Q6BI+Gxrnx9doWA3nK8MUonPIyp0zaRQihxb7bxtco/O\nXY5Hayg2ZYhYw3JWlpi4faQpK2hSWINzXGhvsIb6BGEJA6FQyla2LUPbZFCPjUZVlajcpMzrLHCj\ne8zmgfg447+Ebe9zvC/zKp9Hx4VCMQ9CgqrIEiKhyEWJttySXUlZPFT9HzDh8+6zpQFKbWr9pPUy\naB7P8akTB/AusEkedYuuoJ9NNl6437kxwB5H7vyOdOCac0nnNh2X9rOA3cHBYKwVKsfduDJ2n8/k\n+kh5DA4Et4RQU+AnOBB2gV5EJwC8733vw/ve976+mlsbNAhtoRkr/k7GBaaTES7mUwA2yjmdV7h5\ne4YXz2Z44WyOK695DV7z5kdwF4DieIK73/Ispq/cxul9d+M1b/oa3PHufwvzNQ/hpjrF86+e46u3\np7h5exaVRQbg9+08mRR7t+azDX3xmIskRIKzKu2aS2MAU0GZCsXoCIUBVOVSVNGeykXvhT2kjCvq\nA+jRGMXYCc5yClOGLVNQjGBGx6jGx5jOKpy7KCUXnBfz+pperUy0gTmVtraLOuG2g1GolIE2yooX\nt+1Ak4FMkUF+vvqYCtblkZuMtD0KsL7Y6lKZ0vbJ/1c1wcujnH49GVvLydcgpddQkTGICFS+vzI8\nLdwKXc3e3xbW5lH1U2GQUmsLHUehaFPpRalYtM8q/R94a/4ObZFkxUpwVNDN2f6f/66paxsg/9JW\nsI37Y9NvU6qe1kyIxWAAX7/uC4QlDptFCB778Ncu8s/3lc6R3CnU1H5fjrqu2LWdw6MgqUAfFwqz\nkozgMO+NC/v5UaG9QOHt2HbtX5ov7fvO2DUKurJtWtFSOaEbjsuKE41REUfQmpYx7DqQvU0eFZuE\naRwqZ/xzQXc0stuglKO4KAwXMWPtOCxC0UXbbii+B5CwqDA2dtD56sVaoSwUrHu1vu6Qttg4Hrk+\nPJ/wj7axv+2YyiZ5pJ9C/HEegdipasdV5QpaGpy4DMl0ixQSgyeTAscjqw2ORmFc0vUQuLSWR2Us\nl6VWmDsO+Y4ZvHARXSu8D9pakKKe5Nwn54Fmv2nT6E107gMKBczZc9pKAyDxZ/9P99N86UzjX168\njSsTN9ju+jocPzTCXXffhytvfxbV7VegT+/E+NqbUd79AF45vhfP3ZrhCy+d4flXLvDS2cytD4Vv\nn/8dF2F7jzRtZbytTY12CBJVNEhthHMOVCUURSONhqpKaKWhUfeU5zxtHMalas4qYw3teYVJMcJo\nMoaqjqCquRVOStl1nKrA+azCha80azfcvSjt5ruzim+5oVBVQKXD8dhomL1Bl1VsiFstalAsMHF3\n7Snsgow9WgMXas2fiZ83FRaxaa31z1PbvNgNfY7Sa9P1oml13LSIULNgYcJThQJRJDwPHTwiTb+x\niTulbGEl+p9QaOUi/Ul6GDvPPHVoveNVTqywvjMGcwoa7/X28v8PCXTdphFPMmhmleUvEoPsMz5N\njM3bFBnz593Nb2lKs4+WGYVKB2O3Ik9AQ19N1wynSGdeyz4fCK9KoWbskmAh0WKjIF7Ro6pCEZKx\ni3TaCu8sOqa1N2xJlHonKuheZ41dXZG4sYLzeKTjQnuKG8rBwWCjK8F5sAolh8yjcrYOQQPBmY5g\n0xCHc28PFn6/TgJFrI9HQZyMnRPhqAhckggqK+sEoEmz5JEyA/d6Ed0zOY++D//QUSou3T/t72if\nRw+Fw5yDlu6N6RxUKFvDQzlni1aVC3DF2TpNojMS9iQI3Tg8HungMNIaWhnQzJduOWX5LludB17U\nul0BJqPgqON20LbuhYMRndbLZ8Iej85AoS0YTsYFTiY24nk2Dd+jaOeXXr7w3olZdYp7T+7H3V9/\nP4rXfxW6nMEc3YHp0Z14cQo8//IUn3/xDF98+RxfevkCN29Pa6m15M04GRfOwxDnz3epYLWvWBQ9\nieViBk5oKlP5/5v6oRtrmVhGBbupAaGSLC9E5L2ESqHQE39clQHmbh2njWy6jX1Lu47Tb79BA1kD\n4yVumamHnnukKUWMG085j/0yEYU+wDn1Bkj0fnsV23Q/S15afFX4AjOIo4td282ld3GjmcCfpcJy\nW6m028LCsbkAPMoS1uHVnUOUMhatH0nGRVsfgGHjJhYrPCqWWzfWlllAyBcZOnyitYodOpQmRue+\n0MaJTRblhKv8zM5bFOlMxGZtfoPL7oACpfXxaFkQIRq6qq9rH7P7I79meHSWjFtgWOOxK3KXJk+v\nDPO1jiawQsFGON3nSLRQWi0/37QfsuXHCpaxUQhFMipgZPuqWDYJ9VE4jo/dFmZhTWFYn8/n1lSs\nDIHW3L0TCM4Dey4MqGDeuKJH4LBQBkUJlH5tps0kIUeB3aLPCYoidh7wDBDOY2kS+6lkS4bY8Vre\n4LcSHDMxFBX3879rCKx1B+eR1ycZa43jUX2JCKW7E8ietefWik0SnzRu+Jg0xuqaIkmtp1Tembbp\n06kTn47pyAW7TseFi8LqRh4VAp8Km7sfDkZ0phhp+JzqK5MRbl3Msym2APDSbfv/cy/ZfTkvygpf\nc+UIr78ywVFxN4qJQlka3Lo5xwu3Z/jXWxf44svn+D9fuY2bZ7NIcB6NNE4mI9x1MsbE9R32krRF\njvZ5XecyaJpgOeiX5iYno1zSntIuAlmgYqOHT8yliUW79h4m+1pUSdbYiXvuUoIKbdfD8O02yspu\npD2t7Oa5IboJf1NtA18LkzPIlAqpKMq/Hm6yTWlh+3RlkLnfJdpJoIqoy26/wdNj7UP5tFmlFCiR\nxG+VwvpbBL9egvOFxcVtFoEcBulrhwpac0yVldOtb+i3psUPeLnUNH2PznV6noJQyYukcaFQzg1r\nPy4hz1Ns1/7dvbSyXbTNvbk0MDrHPJpo6wzQQmvGr2YRmIL+136eI8HJx442sfCsjHIZfKGPyuSP\nm0d8+DXjBeclM2yBJLKiwrp3ur+MC3tPrFzKXVVoJ/Dr10QqOMkgjUQKRa0VH2fs+nBrw4qK1zWw\nb/H1aEcF66OIU2vJYKe/HHpgXKf3TA1bzZ3Po8GpbgULYWQsZ3GRvbrzgAQnccltDwM+PjUwgreF\ntDdLL64AACAASURBVFKYaZWtfRDGPetDa0xGaXE/xiuGLz61CjUkOI/Wka18RiVFHGlOaxL1I3Z+\nQ8TT6gS6LgDH44iWJWl/LBeu33NVYVyomhNIs2j4qQt8HY9iHn3aduLMy9qlPdI7CNGZFhMau5D2\nWIe01itHI8wqu0Hr2ayMUmwBm2b7pVds5PNsWuLFsxn+9dYYV9zazFlpq5q+eDbDczfP8dLtGW6e\nzbxg5aAo5z13TKLU2rbjHwpy6QhAkurm9saEtmm1lPLqK4VG7dnBiFG8HjAs4I6jnfNSoXSeRCro\no6t4G5PK2EI3s8qm1s7K+jYeWiu/BQRViqNUJRK7kVeeGWLcaPLpRnBrWZn4JNHSFOXcJbo4FHKC\njyLJFeKtMFLkvHNROyZ9nv9wGtmxqX10fOEGEAxp7Tmj7wNxRCVt3//fcKxt/O0BlR6cU6vl8im2\nvBCNNZbC/OojFhRlMXEqJKVKUqQjSolnBiinUykrWqwz3gkW2Bv0rKKqTvFvoQgKdyZcVnAuaSx4\nAx/G7jsL63ijeTAs67DCIuWQ+OXRMD5uuPEMULKe8s6gcQGXfl2hcGl+dm1gPtJpI6HBmUFzKgmt\nVKzs67zZFYlfIHkvvMnHooKd34y2WzoRNxTFmimDQtcb9amYGcFpo9/hswXcMglypM5dtLq0mQdj\nA58NFM2vClEffK9lG1mB+yz7neucwD1CG5ckVsiBRym2I23Pc7qjQaGsXVLq+P7LRb0X947LyajO\nI5Tl0o4hA10qaFVBuwlivEB0Uh+UnkmOqoILrsxv5XbWoYPfLylVmsamTbG1QSTOY5XokNy2e2RH\npo6DyYjmv9huMIb4tVkjs8p+/qKsoj74mk7qn9KvfZqtVhg5QcqjnNuMgw1CdBLGzpKdAz7FlipE\nkQduMtK462TsCv/MvfC8mFe4mE9xNp3jbFbiSy9f4K7TsReQZ9MS03mFl27PcDYrsym1RyONq6cT\n3HUyxtVTK1ivTEZ+ENNEPNI0SQ9jcALB8GmLcFkxasWn1qOQWqu02yuT9uN0BQ2coTR261XGOt40\n13vFyStkgBI21GbnVgMedeRpgFTxdDq3kc4quYkCQFHEFdzIiUGOBF4BMPbMh8mXvFbBS+3EJ4Lh\nREivhm3P3bmbpwKLdrbwy19t+owvQpMprclvVHY9iisSBOUryzaJvjRtUCuromhNrXYc0LUSbpoq\nuklaJwUTSYkgBbY/QfeBlFfiNPoMYo7pWg0RshBlKbQdk5UzdrUzXsJ6sXxqbXpMITpmRYttLZzf\nsK7M1CMHjFP7fHlSDo1HYDGXXEoaFdZ10hxoSsefYVEsaIyRViMN6Zd0ngP/4VgIhaL11dbYDaLU\npQ06p+FMWaYrdl1RP1HEhq4b9tuGvp7Tj0GTFyvk/CEejkbaFrGgKFZifAKBS4pUc8EZ35fsSatg\n/HrDsgKOxxrTuXHts8reyQSS9kFChcY+T62NtFELWYfKIwdf10lOk0IDprKOcWNUJDxJ2JeJIEzn\n1hyP6VZzxgDQBso4O6TSLtrpxqKzezjS8egFJ4+OMQcQRfuaf38fZ3F7yNlAfEz6JQgUlKB5lfHo\n1837PcNDW9w549foFoFbshd5v1A2JdsYZcc657HQjTzy8Xg8rjsOeJRTgaV/Y7OOg0GJTgKtlyy1\nwdgoXD22UU7af3E6r3D1ZOw+PY/E48W8ws3bU9wEcPNs5rc8AWCjpK5gUE5wnkxGOBkXuHo6xsm4\n8OLk6vFocKm1HDkjtgk2EmaFp9Khglpp3J6Wxu6PSO1p2AgIFeoaeyGRP49+onZ/SlhjeF6l3iO4\n7TUqH0ENHlsFbspwTxHlyI+1xoQKJbDj8cITbBCr5DliwUmvtf2uXaBLtBOIuQ8Ff2LxyX8WRaia\nSpJzkKOiUCoKdqVnyUfEfbW39IYdJuE0tZbzQ8dXO2bEgjPlMHdM+4402hm9ZowTK/VoGUUXbZTF\nQDsBmhMqJCJ1JEQcr4nwBBRKkKAFAJsyWBkbNctxShE4gI29NYnYoyG4EojDUDFTwcC47ZtslMx9\nEhTlrIyJ7k1j73BTtagYFynRnAoyjgBlVJQaplWByt2Pc9EV3k+orBjEil7A7T7Nm6ugPV3aVXKu\njDMSbbQTVRCeFI0E4oJ3fJxwUZ8TKlpZ3vyl4wTLZOSiLaWKOKT7Js860kr5yJt3DDEjNydWhhoh\nSx0IlJppjMvIUYh5BDB2a/hQZJzgOiwp4tFNPl74GTSOz9LYavreOTvvziPfVoeiYzzKSWLlsqBQ\nQAnlbRK4SCcKA1Upv/55bOx6SyBX+CfmkcbiSMeijwQwOXTpHm05MRhX9lo5hvZLk6J+2Jw6ZgGS\n1HFQqOZ5Fej/fjgY0Znbr5NHO69MCpzPR5iVBldPx8m368LT/p1GXqhUaBJIcF49GeOu0zHuuWPi\no5xXJkUU5bTHGh/30JDzhNotKKzBYz1G1pA17r1QIjxOl1QqpBXV+oHylRNpcAL1bTnKjCRO1xAC\nPPUh9hRz0Xk6LjDSCpMi9kw1CRX7WrNYSW8U/HfvAjlPHzkVFkU7Kyc0q+i1vIE5g4nGAVDn2Dgv\nH/2fnhOlbFSFipdQZMym8tX7JO8tT/kq3I2UOwj893w/iRhFPEnH/+/neCZeySAiTu17QXhyngs2\ntowiwWnbouwDimCFSGccTSFxzwUnP38V6sKTjotSNG3b9mKIU/pCtUUvUlqkf8obvUbtHRra0qUB\nVyhIWR5J5Pu51EeIC78NFAevhJkTnCmfxv1D6Zk26mlQVsrtXWdFLxm5OYM63TvSGrRoTa09PNa6\ngUfIKDlEA4BWNkqmwrx3PLZ7AVKxEV6N1H4lz2OhYiPXfsctP3GCxRjXjaE5hAkVthMczyLhHNIc\nG/YGdL8PwxIruftmeC+kZhZ2XzVUVXDyKGUFixpr6wzX+bTXNg7TKCehrIJgoWiZHvEtq+qik8Y4\n78PbOpfEcUCIHAhufnVxaxjnYBvbNwGX/qrUcjwWftyE1FiySXgRxdJ5MGhMkvgEMjabo4ELWj4W\nqV/icFtRTmBAopNAKbY0GijaeTzSuHNSYFZWAI4y35xnRWWT0ARCHjcXnJRWe/fJGHe6LViOC+2j\nnBSFPfTU2tSIBWJR0iY8SxNuOMZQ8R5Lm/FCMHwvNSQjYeDWf1ERi8qE9JG47/hgwp6O8MduvcFI\nPP4hJ/54bKObE/IcZdIhaueJ/R+EaSxCw/v7d03kPPBUyTbH8aK2uFCYsTTbtChMBbvlDBeeoX8A\nLN2FRA2VFy+0bl3/S2sxSHDytbb0+8Ixs36T15p4jI5zD1Ebs6YuPDn8OhYVPPTQoSw/CUIgiBUb\noQpRTgA1gVcZ63jwBi7iSBlN4xTpTJEaul7gIoiV8JuT33PASA1cL/oYaGx4B4JGyNWijeN1OL9j\nqMj4tG3UlwfkhErt+BBEi6Y0eUNiNAhQ/nv4Mgh/3ag4stJFZB4StSmPTRGyiiIr7g0SnMpY5pWx\nJ6hwBmnaBxBEBBAbudH6drj0aGbkpuLTvq788gd/7MwRkRrRxF2h6pGVpmvpkHjMYRGXtBaPBIvW\nQdzbrJ76jbVpHHLHqe2b3Zcd5znxCQCVUTBJunzaB3cexK+HPg/p/rcIXRwIQEizRWWgCptNF5wz\nYRwtM05qy3eUQgF3DWnr5ykr4517pWk71rpTIhWcCu33w01wOCjRyaOddEEUWjmJqQGXZmsRC8/J\nSLemz3JwsUlrRE8mBe6/euyjm3dOClw9HuF4pL2Bm67lHFKUM2f45OBPv+PJRzqd0EzPek5ARgvm\n4dK3WPXEJuEJBC9wLpUprFMLk4Ita11gMlI4LqzotNvyWHFK805XQzYvYvbrhttkDPko2JJCk0fI\nyNMXqlvGn6X3OXLd0TFZY9oaYcbY/8l49Z8lQaTZpJsIziKd7FG/kabCJf38PjoNOJrECueUG0kU\n7fRRMveX1gaOi7ogTAU+CUEycOk4AHvO6Xi4UCHxqWtCpf57+E2cixX+mfz2KM3n6JDQFu30kRWE\naHXYfiY+vxVMbczQeY1EYUaopFCOV4qalYlDwRer8b+Bvlc3dBX7S5895AJCy4AMXPtbbeo5CU+l\nFOaV3SKOC8Lc2i7bVt7gTcUKGbjGBMe9MZSZRHZLcCRQ20CTQR0LFB5ZuUzIcUkFL1Xh/lLFdsRO\nGfv9ZEwiL1TC3MqDAnDOH0SRa6A5QpZeI+l9kouV4EAYJqc5BwJg02wpck1bafLzS+OEWxKLOEzH\nJABfY8EY2w/nsjDBho6POThz2jjkW+zQ5zeNQYlOAi3iBULUiqfZBhzhZGz37rx52259QuLzZAIv\nQAknk3C6aPsVKjYUUmoL3HMy9oKT0mqHuJaTsEy0E6ivATTG1NYAcuQERGRAuztuWZFxE9ak2Nfj\nY8wdv++LCaOwL5aLcBZU+Qt+P9gm73ubLuOf3zfBSch5+yKRknDMX0+/yA1XXsSEr9PzaSd0I0vO\nqo2KxWKCOxhQWadDofNGrffyqZBikhpDCs1iJPQb32jpvOTO3z4jTbPNccqjZSRa+NpAikamToJc\n+he/+UVQIbpiTF585oRK+B382gpRznTtUQ7Kt7HnZGXQ5EDg4I6DMBnTJ+vnN9dHaiRxHhu3fXLd\nGJdSaI0wWxSMUm/TRJ+0Dy84dTw+o+9kjvfQ0OTgi5w/7v1CxcKTBCcXhE0iwrZdF5upWLH9OEcP\naG433pFAqbd8PPo2kL8+0jk2XVqyr/fAZbGIy8KJzNSJQIKFjxMAnc9vTqjQF1LBwtM1iU+O1KHU\nxOEisXKoHBJauXSOPSAIT6UAbZzzQAVnal0MBvu1jUM+r9o5nLhLxmYmUMPBnen7wuHgRCdFO9M0\nW/tLNTCxT30Zcbc2j1eoPZuWuIiKDcU4chVtSWyOtcKVI7uGk0c4C6VwNFI+rXZoUc42w4dSMFPQ\nK8HTZrKDRpMxmjGG/ICkyZiikzqsI8qJT7iITGmMn0S8wVzFlTD9ujSlGgVn6vW3vyf831aEJ2fo\n7vMl0UWkeB8A7KnOFaEJabRWeHJ+fVpm5kQ0nS8uPEmoAHWjlgRJXHHYef/AIwLtJDRFQw9FuPAx\n28Zp+Lzj0P3la2h5NJIQbnD1yFjTTZWWUHPj1q8taxEq9HuovZxnPle8a2j+P85jGu2k5zw9MycE\ngXBd8HMKLDZ2UxSKPPHdDF3+O9I+eFqtTvik7wwZlPYOUOXMWKx0ObdNQsK2nxcsfuXakkZukyHd\nZOgODcsKTzrPFJFsO7+LuMvNa22CJeMfdu3GffDlQ7Wsg+6n5uCQcgmgNscCrt6BG4vQKsoWyNn5\nbec3zGtxn7yf1JmQJIzVfkMtmyHD4TadBmuLzp//+Z/Hxz/+cUwmE7z5zW/G7/zO7+Dq1at9HFsv\n8HnXsOs7j6ExPlY4Z+mzR4XG0ajAxVGJWWVwNitxNg0LzqYuAko4mRS2Oq0Tm0eFxp1HtkJtF8G5\nj1iXx9w6sfT/RQhrx1RY70XvJX3ZzyMyUKEAA+VTSyoA8zIRn4nw9G26kcvXHJLgHGnbR5PgVHxm\nYgZAV4OozwHe53hsuoHmRErkmQfxGBehCamw1F4RGUkU7VQqeSTH5f0ECMITcLEbds3434HAVZPg\nXFaM5K5Hft7WxbbnVeIUCIauX4tk7LpL8s4rF93k0UhCU2QsurEmYsVfZ7WbaixAgZjbVHhQP7yP\npgh2TrRs4ka7SR5zRhGQF57ewE3ECkWXbYNpO3mxssjYrQy8oWt9v3HULK1E7ftr6KPLGN209twm\nj6lQ4cLTScF81CNzbvk69TahWePQXQzEY0VtqWDk5pxNufbbxMq2I2S7sle9WDG09taevAoKozVE\nBNA8x1G/BkF8csECIJvGC9T542OQv2b/3y6HwG54zDn3CgXvREi5BNrWWOfPLxBzC1DmAY38Op9A\nPkuw6RpZJDg3jbbso074tm/7Nvz93/89/uZv/gZvfetb8aEPfaiP41oLZOCEqKIVC7YCqRUTxyON\ne07HuPd0jHtOxrj7ZIzXnk5w98kY991xhNffGR4P3H3i//+6u09x3x1H/vNXJiPcczK2abWn40bB\nmTu+fcKqPKY/RUXv5Y2SNkQpkO78eaGnqfQzVeMK79M+miP/F1GU0qc5F6yKqVL+MdbaRzcnI+Ur\n1NJ6XBs5CWtSsoIT4TkJpkXnru9Loe/xmB6fN/D98zrPFKFQ7j3ljI6oqiHngj2oqptto35yvCGq\nXIEKhPNo051VxCt3EnQRnKrjg87Fpm64m5xX+TGmx581XFQo/kHnLoxTROe70JzrcN61/yxFJMPD\n86SsY4dXMg2vx/MBnxP4fEAGLq8Wzn/HMnNRH9jW/TEdlwATcAjXueeMcTjm55LNpXQex/71+Nx6\nMYH4QdcKzZmhciIYZ/EjHEP9+uniMNg0tm3naCa2gSYuKQ05PrdjziE7r3we5veyouXB+/I8Rn3y\ncR3GoYrG4v6IlW3w2HbP5HwuOsfpo+nchiI/9UeRtBdfO/F8Su2n45u3D+yeQ2B747ELl/wc07zX\n5fw28QfAj01+vXA+xxr1PpMH8ec/m9iwCvk5dNMcrh3pfPzxx/3/jz76KP7gD/5g3SZ7AU+znZVu\newZi0JX5L5QCJvDbYVzM7T6eNgo6dpVuY4xdDqbdq1H5fRtJbJJISQXnvqfV9sFjzRPkvLQ8EqaQ\nKV4CGwCjCKWPeERt2790+ureEuUXV1NVL0ohK42CLoBZBZ92y/unY6f2gxEEJmLChM0ZtCkPIc2i\ndlQq9mJvmv5NjMf0N7RFPCmr3abwGR8hsyS7MFZSxCTtSysmJFUQ+KmHl/4nz7Bx0e64PXajVCwS\nhjBZuyP0v42jKV2t6Tz1hU3Pq5zTJj7bUjQrdy4b1+e5/3ll4Kb1sIZ9kaJk5JEH6NpCa4SF91lP\nwaw7Fuh382PeBHbFI59/Ux7TdDsAjdGVJu74uW0CFdMwriEexW5K+lklurKNW+o2eSTwiCcQIiuG\njdXoXuk+l6bHx22Gj3KDNkUaXQHrrzLN10vafi7aQr+NY1tm0bbs1bZ7Jh+bnE8gnGOgvqYTyDt7\ngfrn+PepHyCMvUXZZ7lrI+Y2b+tsC9vUHctyCdTMkBra+Eu/yzP+qC96HchHOcOx5/mj31H//IID\n7wG9run87d/+bXzf931fn02uhVbhCQBwG6tqg+ORxqyye0We+30666KTKtcejzSLvAWxCeDgBGeK\nZXnM3TCBjsLTDQHtFxTZP3VDNm/0EAwQ5dKTqCHxWbp0vdKENZ8pH0oBfg9HH8HJi03A/mal8mIz\nbXcX6HM8Kj/B2b+LhCcQhIqm73mlHxcxSfvJVcpctHaF+uNIBUkuWgA030TR8nqKTXK8zXnVG7Oo\nCxakKZoZkU/fA0IUxbel4o/njCR/I7VfyorQprmBt5ka1bsQnCk2xWOb8ATi9Uc1saKajZZFQnPR\n+mduhKUClNDVsN6l4EyxDR4JuWUrTQYud97U2vbt0Ufqn/HXi4k/kxq3bad838UKx6bn1ZxYAago\nHnzV0VQUEnKOmTah2SZWgLxg6YJ9EStN2Mb9sQuXAEtL73g+cvZs7vzyveSbOO3axzac5m3oJDof\nf/xxPPfcc7XXP/jBD+L9738/AODJJ5/EZDLBBz7wgX6PcE00Cc+RtiXHrdBkn2UC9I5J3p/nK+I6\nsQnE0U37XryGcx8E5zZ4zIqRBcITaBYMQLMRwkFiU4Et7Gbi0z6H21Q3TCC0hxKvimuN5VCIhF4j\n2JuFXROaFt/YBnY5HlMDF6CCJHnhCbRX6eNFTOgc8tSPmmBsOc+5ib5WfAHhOkpF0KpYlftdz6s5\nsUKIMhFUvF6XqvWFvd7C5whNYjMa16kBlazG5SIUaHfuxDftuP2uN91VsWsegWbhWXPuoV0E1toF\ntcn7ys/BOXAjjAtQQjpml+Gu7zl333gkZB0Ja0Q8QrvJZ9zfnGHL21jVoN6WWNkHHgld+QS6CQgk\n3+kqVtLvUX/rtg9szvbZJx6BZi6BcJ4XneNlz23u/SpxTDSN+rTFtj62ab92Ep1/9Ed/1Pr+f/2v\n/xVPPfUU/uRP/qT1c08+8YT//7Hr13H9+vUu3a+NqKItYMNfQE188r0djwq72WsKVk+oFtm0fdn3\ndik4b9y4gU/fuFF7vS8en2A8Xnc8LjR6EuEJtBsfQHOkInvzglUtBnZhNxefpROfvJw1CSVePZXf\nHGkdCq0B5MdDIOEJ5CO99tjzr3fBjRs3cGPLPHZBzuu3SHgaPzVSEYzmIiZN0U0vSv1x1E8uFaAJ\nbYXmc9cT9bcKun5tX3kEuomVXKEoStEEumUltEVA+MHk5oQ2Y7r+e/LtNxm+y1C/zzymyHEJ1MUn\nR855ALRz1nb6eL+8by5Au/TTt7Ng33nsYtymKXf2e6sLlrQP/l7OsG3avijX9qbEyr7zSOjCp32t\nY3uZdprQJFaAbs6DRe33MSQPhUcgzyWQ5xNoP8erzmddlgB1bb9PadLEY61Ps8wdPYNPfOIT+Lmf\n+zn82Z/9Ge69997mjpTCq7fP1ulqbZTsp9I+nvZ1+3fOZtJZS9I733OzTWza17crOHO44/RkoeG2\nDI+3z5p55N3kKk7yrVLa+iCkaVX0VlrAxyRikiKflGJLW7MYY0UpkC9NzgUNCU5eSCWfJrgdD9Lp\nyfZ47IL0UDjffoNx2PNfJRzw95uqLQJBbOZe74Jw7YTvL5PulUv/XReHxKN9Xo9SpQYvYVEqZlfe\n4uPp/tk2UdT3OrJ945GQm4OB/DzcBcsIzcZjyrzWFgVI+9nkGsBD4DFFamh2obNJZHZB2/ZfTdh2\nZGVfeSR0OYVdzvM+bBO0yUPYdx4J6ymn3WIbl1ATj2uLzoceegjT6RT33HMPAOBbvuVb8Fu/9Vv1\njvZAdBKaxKd9r3s7XF/uo9gkdBGdy/C4aBCva/Tk0nJqYtMwqaKsJGkTntFzBOHT2LdC4zrAfRad\nffLYBV2FZ44D/v3aRtjub67kP9DN8G1LCewj8rUqDo1H+5w+F4vPJrSJzWVP8bI3qEXGdV8c7yOP\nhCY+/ftLtNV0uroYv01GdFP/2+KOY595BESsdMW+80gQsdKOQ+ER6J/LRed33f62OQVsTHR2xT6J\nTkKZ/PRUgHbBPotNQhfR2RVdB3GT8AQWGzypIGgVnP5LdeFJfTWJT6Ae7cxG2hAEJ38t+t6CiFkf\n6DIZd8UmjdymSBmdf/6a/477G+/fmBeanaOcK6Tr7ctNtSs2GVnpK1PBv575bJMhvEpkpUvb23YC\ndcW2xMo653Vd0bJM39scm/vOI0HESjsOhUdCn3xuUqxs26Q9NB4Jqx7yOue3S5+7kiRNPPZavfbQ\nQAKRxGcqIFdpS2DBc9/TfHd+pvglmYseZk+r0nnhyfrWqG/kS5U4CxWKkqRbswD5FMG29MB98CDv\nGinfTVtwAKhxALRs2QBqk/e1+HzneFoUnb7sNKbrVTiPQHvhL45F6ZhdxkvfY+oycku/OeU0h3ht\n2XInK/fxtnVPy+IycpdDjs++2+boox/hrhltyziW+e6qn2/qUzhbDYvO8SbO6yFydalFJ4ELxjT6\n2fV7gjpyRiwQGzjLRD/ixus7debaSYVnrox/8/ddVw2pmW3HehkvjUXCkwrF8CImXSro2bbz0bNO\nxxW1K3y1oUl4Aul5XNBO8nxXjhnhtZtx2/fWQOnnVhEwwl0e657bVTns0pdwthp2cd6Eq81DznEd\nIjoTiJDsF8t425u+S7DVaLvdYcl4btq3Dmiuomi/vzhFUARMHW0R7lR8AstXsow+s8Rx7Uu58ENA\nk7MIyGcrtGETY0Q89Kujq2Dp+1w2tWeM8LYutnn+hCuBQLAORHQKtoK+UoNCWmy9oaZ9/NI0wUjE\nKJWNtq2aIig35eXSNP0XurTb8Po6UTThK4+m8boP51o46w+7Ppe77l8gEAgE24OITsFW0cXT3sUQ\nadsonreTi7rVBWTD9zOvidjshrbU6typSi+DTQhMfmyCbujDWSTnWyAQCAQCgYhOwU6xaYO0r1RB\nKTyzPNJzD+TPY5MQ7XMdoHC1Hrqu75LzLBAIBAKBIAcRnYLBIyd+AKmmuA10iZTtQ8qmYHnIuRcI\nBAKBQNAVIjoFlwJ9lITvbU2aMZ3Sg4eEdcrD59oQCAQCgUAgEBwORHQKLi1ExOwGct4FAoFAIBAI\nLhcWb3YoEAh6Q9ctXwQCgUAgEAgEgqFARKdAsCWI4BQIBAKBQCAQXEaI6BQItgAuOC/bek6BQCAQ\nCAQCweVGb6Lzwx/+MLTWeOGFF/pqUrADCI+bxbYEp/A4DAiPw4DwOAwIj8OA8DgMCI+Hh15E59NP\nP40/+qM/whvf+MY+mhPsCMLjZkBRzm0JTuFxGBAehwHhcRgQHocB4XEYEB4PE72Izp/92Z/Fr/zK\nr/TRlGCH2CWPQ1/vuM2UWhmPw4DwOAwIj8OA8DgMCI/DgPB4mFhbdH70ox/FtWvX8K53vauP4xHs\nCLvkkQSnMmaQ4nObglPG4zAgPA4DwuMwIDwOA8LjMCA8Hi467dP5+OOP47nnnqu9/uSTT+JDH/oQ\nPvnJT/rXTItoePKJJ/z/j12/juvXry9zrIKOuHHjBj5940bt9b54fILxeH0DPG47HXVfcePGDdw4\nYB4FFsLjMCA8DgPC4zAgPA4DwuMw0MRjCmXa2FqAv/u7v8N/+A//AaenpwCAZ555Bm94wxvwmc98\nBq973evijpTCq7fPVu1KsAbuOD1pHZTL8nj7rF8e26Kbl114cpye7DePgm4QHocB4XEYEB6HAeFx\nGBAeh4EmHtcSnSne9KY34a//+q9xzz331DsS0bkzLBKdKRbxuE3RCfQvPNP+DkXYLpqMU2ybR0E3\nCI8xlDEHMwY5hMdhQHgcBoTHYUB4HAaaeOx1n051gIaDoI5947HPdZ65toa4jhTYPx4Fq+EyzR4Q\nsAAAHqNJREFU8DjUMchxGXi8DBAehwHhcRgQHg8LvUY6WzuSSOfOsGyksw2b8hxtK9p5yKm8y3oA\n27AvHsDLuH53iDxeRgiPw4DwOAwIj8OA8DgMbCXSKRCsikWi4zJEQgQCgUAgEAgEgiFir0Rnl8pH\n0tZm2uoTqx5XTnju6/na17b6xDZ+o1Fq6Sjnvp77y8yjtLV57OtvvAxt9Yl9/Y2Xoa0+sa+/8TK0\n1Sf29TcOta29Ep25bT6kre201SfWuShTEdL3YGkSOEMRPn1iX3/jZWirT+zrb7wMbfWJff2Nl6Gt\nPrGvv/EytNUn9vU3Xoa2+sS+/sahttVpn06BYNsgEbhKJKxr2wKBQCAQCAQCgWDz2KtIp0AgEAgE\nAoFAIBAIBgazJbznPe8xAOSxg8d73vMe4XEAD+FxGA/hcRgP4XEYD+FxGA/hcRgP4XEYjyYet7Zl\nikAgEAgEAoFAIBAILh8kvVYgEAgEAoFAIBAIBBuDiE6BQCAQCAQCgUAgEGwMIjoFAoFAIBAIBAKB\nQLAx7K3o/PCHPwytNV544YWV2/j5n/95PPzww3j3u9+N7/qu78LNmzeXbuMTn/gE3va2t+Ghhx7C\nL//yL698LE8//TS+9Vu/Fe94xzvwzne+E7/xG7+xcluEsizxyCOP4P3vf//abW0KwuNiCI/dITyu\nB+FxMYTH7hAe14PwuBjCY3cIj+tBeFyMtXnsrUxUj/iXf/kX8973vtc8+OCD5qtf/erK7Xzyk580\nZVkaY4z5hV/4BfMLv/ALS31/Pp+bN7/5zebzn/+8mU6n5t3vfrf5h3/4h5WO5V//9V/NZz/7WWOM\nMa+88op561vfunJbhA9/+MPmAx/4gHn/+9+/VjubgvDYDcJjNwiP60F47AbhsRuEx/UgPHaD8NgN\nwuN6EB67YV0e9zLS+bM/+7P4lV/5lbXbefzxx6G1/YmPPvoonnnmmaW+/5nPfAZvectb8OCDD2I8\nHuN7v/d78dGPfnSlY7n//vvxjd/4jQCAK1eu4OGHH8YXv/jFldoCgGeeeQZPPfUUfvRHfxRmTwsQ\nC4+LITx2h/C4HoTHxRAeu0N4XA/C42IIj90hPK4H4XEx+uBx70TnRz/6UVy7dg3vete7em33t3/7\nt/Ht3/7tS33n2WefxQMPPOCfX7t2Dc8+++zax/KFL3wBn/3sZ/Hoo4+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"text": [ "" ] } ], "prompt_number": 23 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Entropy as a function of time in presence of dissipation and starting in the ideal ground state" ] }, { "cell_type": "code", "collapsed": false, "input": [ "tlist = np.linspace(0, 30, 50)\n", "\n", "psi0 = H.groundstate()[1]\n", "\n", "output = mesolve(H, psi0, tlist, [sqrt(kappa) * a], [])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 24 }, { "cell_type": "code", "collapsed": false, "input": [ "entropy_tot = zeros(shape(tlist))\n", "entropy_cavity = zeros(shape(tlist))\n", "entropy_atom = zeros(shape(tlist))\n", "\n", "for idx, rho in enumerate(output.states):\n", " \n", " entropy_tot[idx] = entropy_vn(rho, 2) \n", " \n", " rho_cavity = ptrace(rho, 0)\n", " entropy_cavity[idx] = entropy_vn(rho_cavity, 2)\n", "\n", " rho_atom = ptrace(rho, 1)\n", " entropy_atom[idx] = entropy_vn(rho_atom, 2)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 25 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(1, 1, figsize=(12,6))\n", "axes.plot(tlist, entropy_tot, 'k', label=\"total\", linewidth=2)\n", "axes.plot(tlist, entropy_cavity, 'b', label=\"cavity\", linewidth=2)\n", "axes.plot(tlist, entropy_atom, 'r--', label=\"atom\", linewidth=2)\n", "axes.set_ylabel(\"entropy\", fontsize=16)\n", "axes.set_xlabel(\"coupling strength\", fontsize=16)\n", "axes.set_ylim(0, 1.5)\n", "axes.legend(loc=0)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 26, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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T5+I6JMQ4FhhYeW1tX9ljti7+/t7REwEAgDMRsFGjZWdLJ04Yy/HjRhDOyroYnCsuZffn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\nExEREREFEQtsIiIiIqIg+hefoQbvr6eqRwAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 26 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Software versions" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from qutip.ipynbtools import version_table\n", "\n", "version_table()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
SoftwareVersion
QuTiP3.0.0.dev-5a88aa8
matplotlib1.3.1
Numpy1.8.1
Cython0.20.1post0
SciPy0.13.3
OSposix [linux]
IPython2.0.0
Python3.4.1 (default, Jun 9 2014, 17:34:49) \n", "[GCC 4.8.3]
Thu Jun 26 14:32:43 2014 JST
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 27, "text": [ "" ] } ], "prompt_number": 27 } ], "metadata": {} } ] }