From d0301c9ac59fb95824865dcd955a329e5edb1996 Mon Sep 17 00:00:00 2001 From: Anubhav Vardhan Date: Thu, 26 Jun 2014 15:18:24 +0900 Subject: [PATCH] Updated lecture 10 --- Lecture-10-cQED-dispersive-regime.ipynb | 117 +++++++++++++++++------- 1 file changed, 85 insertions(+), 32 deletions(-) diff --git a/Lecture-10-cQED-dispersive-regime.ipynb b/Lecture-10-cQED-dispersive-regime.ipynb index 0656877..38afefe 100644 --- a/Lecture-10-cQED-dispersive-regime.ipynb +++ b/Lecture-10-cQED-dispersive-regime.ipynb @@ -1,6 +1,7 @@ { "metadata": { - "name": "Lecture-10-cQED-dispersive-regime" + "name": "", + "signature": "sha256:59ccc374555ac85bca77e028ec2093a5f59e12103bb8e976e55ff78fb6db9d41" }, "nbformat": 3, "nbformat_minor": 0, @@ -24,7 +25,9 @@ "cell_type": "code", "collapsed": false, "input": [ - "%pylab inline" + "%matplotlib inline\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np" ], "language": "python", "metadata": {}, @@ -105,6 +108,7 @@ "metadata": {}, "outputs": [ { + "metadata": {}, "output_type": "pyout", "prompt_number": 4, "text": [ @@ -200,7 +204,7 @@ "cell_type": "code", "collapsed": false, "input": [ - "tlist = linspace(0, 250, 1000)" + "tlist = np.linspace(0, 250, 1000)" ], "language": "python", "metadata": {}, @@ -243,7 +247,7 @@ "cell_type": "code", "collapsed": false, "input": [ - "fig, ax = subplots(1, 1, sharex=True, figsize=(12,4))\n", + "fig, ax = plt.subplots(1, 1, sharex=True, figsize=(12,4))\n", "\n", "ax.plot(tlist, nc_list, 'r', linewidth=2, label=\"cavity\")\n", "ax.plot(tlist, nq_list, 'b--', linewidth=2, label=\"qubit\")\n", @@ -258,8 +262,12 @@ "metadata": {}, "outputs": [ { + "metadata": {}, "output_type": "display_data", - "png": 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+ "png": 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Tn2ptt3r16tTU1KRnz5473BcAHYeZKwCq5vcXuNhef/AHf5CNGzfmrbfeyqhR\nozZ7fFC4qqmpyciRI7Nw4cIdLbuN4cOH55vf/GaS5MUXX2zz2i9+8YuMHDnS9VYAewgzVwAU5sPO\nRO3ozNUnPvGJTJw4MRMmTMiXvvSlHHvssampqcnSpUvz8MMPZ/r06Rk4cOBW3z927NjccccdrQtk\nbKum3932i1/8IldeeWUuuuii1NXVpaWlJXfeeWc6d+6c0047rc17fvrTn2bKlCk79BkB6HiEKwAK\n82Fmokql0odu/7vuvffe3Hrrrfmnf/qnXH/99dlnn31aT8urra39wH1NnTo106ZNyxNPPJHTTz99\nmzX97rbevXunf//++fu///u8/vrr2XfffXPMMcfkRz/6UUaOHNnarrGxMW+++WauuOKK7f6MAHRs\npfKO/rchAHRgEydOTFNTU/71X/+1Xfb/h3/4h0mSH/zgB+2yfwB2PcIVAHukZcuWZejQoXn66acz\nYsSIQve9cOHCnHTSSXnxxRfTv3//QvcNwK5LuAIAACiA5YsAAAAKIFwBAAAUQLgCAAAogHAFAABQ\nAOEKAACgAMIVAABAAYQrAACAAvwv2rD9/B2J1EoAAAAASUVORK5CYII=\n", + "text": [ + "" + ] } ], "prompt_number": 13 @@ -293,7 +301,7 @@ "cell_type": "code", "collapsed": false, "input": [ - "fig, ax = subplots(1, 1, sharex=True, figsize=(12,4))\n", + "fig, ax = plt.subplots(1, 1, sharex=True, figsize=(12,4))\n", "\n", "ax.plot(tlist, xc_list, 'r', linewidth=2, label=\"cavity\")\n", "ax.set_ylabel(\"x\", fontsize=16)\n", @@ -306,8 +314,12 @@ "metadata": {}, "outputs": [ { + "metadata": {}, "output_type": "display_data", - "png": 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2d+wAcucGTp7Utl0iPURGSkeQkh77Hg0a5Lwbj4mJwIIF0lFo46WXgKlTpaMg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\npMrqO0nXrmrfLLvo1w/In186ChIWUbE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ezuFpo7VvL9t/0aJA8eKyMSTXpg0wapQ+be/Z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\nc6rA4qIXZC8tLS1obW1FTU0NLl++jKamJqvjEomE+UmzZqp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xIplbt05N+1WqiGqDRGZz7Zq8/ZRkqVlT/poRK10QpkeNGKE7Ar1SpQJ279Yd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\nAElFTkSuQmCC\n", + "text": [ + "" + ] } ], "prompt_number": 15 @@ -323,7 +335,7 @@ "cell_type": "code", "collapsed": false, "input": [ - "tlist = linspace(0, 1000, 10000)" + "tlist = np.linspace(0, 1000, 10000)" ], "language": "python", "metadata": {}, @@ -345,7 +357,7 @@ "cell_type": "code", "collapsed": false, "input": [ - "fig, ax = subplots(1, 1, sharex=True, figsize=(12,4))\n", + "fig, ax = plt.subplots(1, 1, sharex=True, figsize=(12,4))\n", "\n", "ax.plot(tlist, real(corr_vec), 'r', linewidth=2, label=\"resonator\")\n", "ax.set_ylabel(\"correlation\", fontsize=16)\n", @@ -358,8 +370,12 @@ "metadata": {}, "outputs": [ { + "metadata": {}, "output_type": "display_data", - "png": 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bu3dP7qvSBPl2EU8+qZ6zli4FHnkkboweEVEtmBKoYpHVbOvsuveoJsHxTfGrNYEKbO/X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\nTtK6ZOnI1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obn6ur6l6dJXvIyo3KrsvuQlFjnztDQ3pdp5WKJ/b9vbS+TOLmqqss5Yo5aqp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HZcN8F8pPybDu5tJo5dSiZU4i7JkgvXOP/84n3i6/MtOXH5fEw/f5uJc9nxqTq2dWKKX7cQAE4/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\n7a9QaYEEQYRhxozoR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+ "text": [ + "" + ] } ], "prompt_number": 18 @@ -386,7 +402,7 @@ "cell_type": "code", "collapsed": false, "input": [ - "fig, ax = subplots(figsize=(9,3))\n", + "fig, ax = plt.subplots(figsize=(9,3))\n", "ax.plot(w / (2 * pi), abs(S))\n", "ax.set_xlabel(r'$\\omega$', fontsize=18)\n", "ax.set_xlim(wr/(2*pi)-.5, wr/(2*pi)+.5);" @@ -395,8 +411,12 @@ "metadata": {}, "outputs": [ { + "metadata": {}, "output_type": "display_data", - "png": 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K8jUgGzduJDMzk5UrV9Ld3Q1Ae3s7LpcrVMflchEIBC4qdzqdBAKBy+i2iIwFCiAiYlWc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\neebMGXP+/Pnm3Xf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+ "text": [ + "" + ] } ], "prompt_number": 20 @@ -412,7 +432,7 @@ "cell_type": "code", "collapsed": false, "input": [ - "fig, ax = subplots(figsize=(9,3))\n", + "fig, ax = plt.subplots(figsize=(9,3))\n", "ax.plot((w-wr)/chi, abs(S))\n", "ax.set_xlabel(r'$(\\omega-\\omega_r)/\\chi$', fontsize=18)\n", "ax.set_xlim(-2,2);" @@ -421,8 +441,12 @@ "metadata": {}, "outputs": [ { + "metadata": {}, "output_type": "display_data", - "png": 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Z2LdvHywWC2pqamA0GqHX6xEeHo4JEyagvLwcsixjz549tn0o+HBALFFwYOaEnGW3W+fU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\noiK7QcH06dNx+vRpl1/fE68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+ "text": [ + "" + ] } ], "prompt_number": 21 @@ -449,7 +473,7 @@ "cell_type": "code", "collapsed": false, "input": [ - "fig, ax = subplots(1, 1, sharex=True, figsize=(12,4))\n", + "fig, ax = plt.subplots(1, 1, sharex=True, figsize=(12,4))\n", "\n", "ax.plot(tlist, real(corr_vec), 'r', linewidth=2, label=\"qubit\")\n", "ax.set_ylabel(\"correlation\", fontsize=16)\n", @@ -462,8 +486,12 @@ "metadata": {}, "outputs": [ { + "metadata": {}, "output_type": "display_data", - "png": 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PLi2CQgTjca/csc2wocAihGSaVEqyA3YRpGOTTnKZFQmDSLXIBT1YhJDGwD/5U1sbXrQi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\n//GSrZ97TgzRykoxDJQzz5Rk3ltv9X7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EMMqDxYl04sN5NbPDDjsMCxcuREVF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\nPfWUdP757ZmrzgKsU6cYCoKo6HnTo/hnsKTQAyy+eAAiIZgAy4wxWIE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CAH0cqaj9dNwHBLZr0SJgzBjgZz/L/XcQEkFRFbSora3F2WefjWeeeQbdu3fH3nvvjaOO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\nDf4foRUvHfcqrG8AAAAASUVORK5CYII=\n", + "text": [ + "" + ] } ], "prompt_number": 23 @@ -492,7 +520,7 @@ "cell_type": "code", "collapsed": false, "input": [ - "fig, ax = subplots(figsize=(9,3))\n", + "fig, ax = plt.subplots(figsize=(9,3))\n", "ax.plot(w / (2 * pi), abs(S))\n", "ax.set_xlabel(r'$\\omega$', fontsize=18)" ], @@ -500,8 +528,20 @@ "metadata": {}, "outputs": [ { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 25, + "text": [ + "" + ] + }, + { + "metadata": {}, "output_type": "display_data", - "png": 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idOOsgoIC3X333ax2T7L58+drypQp8vv9Gj58uJYuXZrskjLali1btHz5cm3c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\noYL4uGTDnQAAAABJRU5ErkJggg==\n", + "text": [ + "" + ] } ], "prompt_number": 25 @@ -517,7 +557,7 @@ "cell_type": "code", "collapsed": false, "input": [ - "fig, ax = subplots(figsize=(9,3))\n", + "fig, ax = plt.subplots(figsize=(9,3))\n", "ax.plot((w - wq - chi) / (2 * chi), abs(S))\n", "ax.set_xlabel(r'$(\\omega - \\omega_q - \\chi)/2\\chi$', fontsize=18)\n", "ax.set_xlim(-.5, N);" @@ -526,8 +566,12 @@ "metadata": {}, "outputs": [ { + "metadata": {}, "output_type": "display_data", - "png": 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XNCFDC5xOICxMbsgIDZUbADhdQkQUPIImZKhVyZBJdgiQHWJc+wA4XUJEFAyCJmSoRfZ0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\n8L//K0JEYw2xzzw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GThccIYOVDCIi/wuZkBEMhADatFEbMsLD1QYADpcQEYWOkAkZwfDzKqpDgOoQ49oGwOES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\nxRdrrouLa/l8iVO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+ "text": [ + "" + ] } ], "prompt_number": 26 @@ -554,7 +598,7 @@ "cell_type": "code", "collapsed": false, "input": [ - "fig, axes = subplots(1, 1, figsize=(9,3))\n", + "fig, axes = plt.subplots(1, 1, figsize=(9,3))\n", "\n", "axes.bar(arange(0, N)-.4, real(rho_cavity.diag()), color=\"blue\", alpha=0.6)\n", "axes.set_ylim(0, 1)\n", @@ -567,8 +611,12 @@ "metadata": {}, "outputs": [ { + "metadata": {}, "output_type": "display_data", - "png": 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+ "text": [ + "" + ] } ], "prompt_number": 28 @@ -584,13 +632,13 @@ "cell_type": "code", "collapsed": false, "input": [ - "fig, axes = subplots(1, 1, figsize=(6,6))\n", + "fig, axes = plt.subplots(1, 1, figsize=(6,6))\n", "\n", - "xvec = linspace(-5,5,200)\n", + "xvec = np.linspace(-5,5,200)\n", "W = wigner(rho_cavity, xvec, xvec)\n", "wlim = abs(W).max()\n", "\n", - "axes.contourf(xvec, xvec, W, 100, norm=mpl.colors.Normalize(-wlim,wlim), cmap=get_cmap('RdBu'))\n", + "axes.contourf(xvec, xvec, W, 100, norm=mpl.colors.Normalize(-wlim,wlim), cmap=plt.get_cmap('RdBu'))\n", "axes.set_xlabel(r'Im $\\alpha$', fontsize=18)\n", "axes.set_ylabel(r'Re $\\alpha$', fontsize=18);" ], @@ -598,11 +646,15 @@ "metadata": {}, "outputs": [ { + "metadata": {}, "output_type": "display_data", - "png": 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HrC/Mtjz4cuYZ9AvFqtSLJ5zktp46UqOOZgVRQlH6pklxeazRxDqvg0Lp2/echdAz+vYB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\nWtCPQ8WSHR6aH+FkWgiuKabOVx+eaiMCuZ19VKAfq2y7zPM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hPOHo22YaSY1GmuVEC3mpnCYF57FGFV1eR4XSt985S6GH9O1LUkbVeoINW+rIdp1mOiqp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\nR8tEeqkEN77APBWE2sZ1gCW5T9s29wR2F9nJYaq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+ "text": [ + "" + ] } ], - "prompt_number": 29 + "prompt_number": 30 }, { "cell_type": "markdown", @@ -623,17 +675,18 @@ "outputs": [ { "html": [ - "
SoftwareVersion
Cython0.16
SciPy0.10.1
QuTiP2.2.0.dev-f74bdf4
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
Thu Feb 14 14:44:54 2013
" + "
SoftwareVersion
QuTiP3.0.0.dev-5a88aa8
matplotlib1.3.1
Numpy1.8.1
Cython0.20.1post0
Python3.4.1 (default, Jun 9 2014, 17:34:49) \n", + "[GCC 4.8.3]
IPython2.0.0
SciPy0.13.3
OSposix [linux]
Thu Jun 26 14:20:38 2014 JST
" ], + "metadata": {}, "output_type": "pyout", - "prompt_number": 30, + "prompt_number": 31, "text": [ - "" + "" ] } ], - "prompt_number": 30 + "prompt_number": 31 } ], "metadata": {}