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@jaysonpaulose
Last active August 20, 2020 05:39
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import polymerDiffEq as pde\n",
"import warnings\n",
"warnings.filterwarnings('ignore')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Trials of potential from Wei and Mueller, PRA 2015\n",
"==================================================\n",
"\n",
"Although the original sliding+static potential from _Wang, Troyer, Dai 2013_ was suggestive, it had the drawback that the pump followed the direction of the sliding potential, which was therefore not very striking. However in a more recent paper by Wei and Mueller [PRA 2015](http://dx.doi.org/10.1103/PhysRevA.92.013609) (henceforth [WM]) a broader class of potentials is studied, which have a range of Chern numbers and include situations where the Chern number is negative even if the sliding part of the potential moves to the right (i.e. is of form $V(x- vt)$ with $v>0$). \n",
"\n",
"Description\n",
"-----------\n",
"The potential is of the form $V(x,t) = V_1 \\cos(qx) +V_2 \\cos(px-2\\pi t/T)$, which has temporal period $T$ and spatial period $2\\pi/\\kappa$ where $\\kappa = \\gcd(p,q)$. (Note that $V_1$ and $V_2$ are switched from their definitions in [WM] but the important parameters $p$, $q$, $T$ are shared.) For this system, [WM] show using a tight-binding approach (need to work this out) that the Chern number is $C=s_m$ where $s_m, r_m$ are the absolute minimum (smallest value of $s_m^2+r_m^2$?) solution to the Diophantine equation $ps+qr=1$.\n",
"\n",
"As a first pass, we simulate the potential for various values of $(p,q)$ and compare the slope of evolution of the polymer centre-of-mass, $\\langle x \\rangle/t$, to multiples of the fundamental unit $d/T$. One end of the polymer chain is pinned to $x=0$ and the probability distribution of the free end is computed at various times (corresponding to various lengths of the chain). We call this $u(x,t)$. The expected position of the chain end is computed as $\\langle x \\rangle = \\int dx\\, u(x) x$. For comparison we also plot the centre of mass treating $u$ as a real _quantum_ wavefunction: $\\langle x \\rangle_\\text{q} = \\int dx\\, u(x)^2 x$. When the quantum-classical analog is taken literally, this would be the quantity that we expect to be quantized. \n",
"\n",
"In the output plots, the mean (quantum) end position at integer multiples of $T$ is highlighted with dots -- do these line up with the Chern number prediction?\n",
"\n",
"Trials\n",
"------\n",
"The quantization seems remarkably accurate for some values of $(p,q)$. The quantum version of the end position is perfectly \"quantized\" but in most cases the polymer version is closely related. Perhaps we can show that $\\langle x \\rangle$ and $\\langle x \\rangle_\\text{q}$ are close provided $u(x)$ has some properties (e.g. symmetrical). "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Here are some parameters for which quantization works. We set $q = 7$ and sweep $p$. Sometimes the value of $T$ needs to be quite large"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"t = 199.00\n",
"Wei-Mueller potential\n",
"V1 = 15.00, V2 = 40.00, T = 40.00, p = 1, q = 7\n",
"Chern number: 1\n"
]
},
{
"data": {
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vPlfxwhM6+cQJnfxPTpNnD2v1iSX51evkFw5KqyakV7xKmn1RWnWCdPo66fBB6aQJ6Zx3\nSuf/fNEfLfrEtiJi2Q+coeUBDEBEyJa++X/vUUTolJMm9MB3pjQ3O6PVJ56gPbu+r6Pz81p94oR+\n8uiPmvsdeelF2VapZD335MHm+oX5edmWJb186Pnm+qOz07KlUsmanz68uP7wC6qVlqpHZxfr9dLT\nzQdUxdE5WfUHVr34pBIHrX23pZcT6+cO11ojq0/vwyeEUUcbFBiAarXafN04Wc/NztSW5Zbt8/Oz\nzcCoVhea66NaVeNBhNWFo4mDLzTXLxydby1fD4yoH8e2lDiOova+pZKl5DGjKqnxZon1qkql+vrp\np6UHPtnrR4AxR3gAAzA/P9+y3DipN0Q1aoHR1mmwcPToYsn6C1taSJ7o60olK6Lasb7eHZF8s9TH\n4VpVday1pVjoKCtJmnshfT2OS4WFh+2Ntnfb3mP7upTtF9q+1/aM7d8roo7AcrWHh1TLglKjy6h+\ncs96xnnJkhLn/1r3Umc5hxYDIHPsL5rHbCmSVdxSR6pJzVYLIBU05mG7JGmrpMslPS5pyvYdEbE7\nUew5Sb8j6coCqggck9nZ2WYLID0gQonTfmcLoFkmZW19PKWx42KrZvGYJS8GVbZaeduZOaKI9NTC\nca+olscGSXsjYl9EzEu6TdKmZIGIeDYiviOps70OrHBzc3OZ205I+6u+x7IdJ/r6QsnObkkk1tdC\nJa1MD1csclUjEooKj7WS9ieWD9TXAWOhER6NgfBeOKWrqqH1tJ3RIkk7Zk+llN1V1cu+OC6NxaW6\nk5OTzdflclnlcrmwugBSbZ5Hu9aOqraxCnd2PWXt7fp/yxFZh8+qqJPlGfMYZZVKRZVKpW/HKyo8\nDko6L7F8bn3dsiTDA1gJDh9enHORFhjt5+9u5/Neg6KUbOUsERIMYxx/2v+wvvHGG4/peEV1W01J\nWm97ne1VkjZL2tGlPD/qGCnT09PN11lXSqXp1s3VETg9HtQmLNB/hbQ8ImLB9rWSdqoWYNsjYpft\nLbXNsc322ZK+LelUSVXb/1HSmyPicPaRgZUhrdtK6myFNE7qWX/FtZzzEwmQ2v3Vbd/ke/awb4eS\nl2zN4PhS2JhHRNwl6cK2dbckXj8l6XXDrhfQD1nhkeSMhdSTvt1zYKR1jWUGSa4mCemBRcwwBwZg\nenoxPBrn5/buI2cERi0A3LE+jS252c0V3cdO2psdWcdPKdeCyYIQ4QEMRHLMo6HrIHkPfU9OfjUC\nqWU4PfuMn2xl9Dai0kU14/YlOK4QHsAATE/PNH+5MruPGuMdbouAlBZJ43tjMH2xrZHe2uh1kHxZ\nA+lZ977CcYXwAAZgZqaz5SF1OVn3cqJPWei8Aiv9PXsaJM8aGGkX3PQBhAcwEI1uq9RxBre/aNue\n2NzTgLY7WyhdiqY2bVL3K2VsTLnDL44/hAcwAC+/vPTVVu2WjInUwfbsKYQtXVdpXWHuMv2wW2UW\nsu/bheMH4QEMQONS3Y6GR5fWRvNUvkRrI8/AeyltkLyXCSDdVGeXLoOxR3gAA5C8VLe365vqJ/mU\nolm9Rx3H6zqwkfZuWQfqdmBJC4QHCA9gII4cyRgwz1pKHeiuDWZkjXs0nxaYEi4dYxtpx+5WJGtD\nBN1WkER4AAMxnZhhnpyXkTzF24knCiZ37p4p9X3T74FlpR+zsX7JO/L2cvt4wgMiPICBmJmdqZ3E\nm8MYvU+oSAZAy/rGs8mTV1eldDHlnbsREbUndXTbsXHbeFuqEh4gPICBmJ2ZydyWbBmUXGoOVqcF\nRm8TQNyy7wmlxV/r9q6tevF6KyQRaqnzOZKPIExMeVzofD47jj9j8TAoYKVpuSV7snuqrSWS2sKQ\nW2aSp3Ztpa13926rjtbPUoGRtt6SqoQHaHkAAzE7N5c4WWe0HhJ/9Pf8ZMCcXVKL+3XZsWs/lzu3\n020FER7AQMzOznbcFkRqvQqqPTBSZ5S3NR8a0zHay6WPqWS9T8bVW+37ppUL0W0FSYQHMBBzs61/\nnSeusepyn6mUCX2J3qKs1knr8dKDIjtauq9JXU3LAyI8gIGYn+88wVpObY3UtrX+od9yNVVG79fi\nPukB0W3SoLM2dFvdeBbU0eyLAXD8IDyAAZibm+t6g8OObRkn+vZZGVmtjOTwSlZroz2g0g9qZQZK\noxnEDHOI8AAGYmFhoeVM3REATny1vuzYoT0wGq2NlicUdnSAdb538vvSIZKyvTEoQnhAhAcwEAsL\nCy3jFC29TxnBsDgg7sXybmt9uPMYbYfoOF7zGIsLi+vdsVfKARvboz5gzpgHCA9gIBYSz7xo3hq9\npaXhjqumkqfwUnvToyVE6v9P7uvkMTOHSRbXuS2Quk0WbKhGbb4HA+YQ4QH03cLCgqrVUKnlalen\nBsYit96sMLFvS0ulLWyaX8kxj+Z315/ZsRg2qRmRmjTJxEsKqcrDoFBgeNjeaHu37T22r8so8z9t\n77X9Xdv/bNh1BJbjqaeeSoREs9mwKHkS9+IVWJ1dW279Ly1UUgbHk4HRKN8yaO96qCz1zNr2SjHm\ngYRCwsN2SdJWSVdIukjSVbbf2Fbm/ZJ+KiL+qaQtkm4eekWPQ5VKpegqjLz777+/+XqhWm0GSfKv\n/kY3Uym53DzBJ1ogiW2L+7q5/2LYuNbSSezbPpBuZTwbJNFsieabdJRaFAuFTBTkZ3NlKarlsUHS\n3ojYFxHzkm6TtKmtzCZJfy5JEfH/JL3S9tnDrebxh1/QY3f33Xc3//o/Wq0utizcaBW0np+TLZTG\nSb9kq5TaQmkNnFJi/+S+7cHTfDZIIk5KzZZLsumTSKrkG0V9vKPR+ph+epAfYSp+NleWosJjraT9\nieUD9XXdyhxMKQOsOHfe+WWVSlbthrlunvhLTp64S7XtiZBInvgX92kLnOa25Fe9XKm0GDLJbfXA\nKdXrUmq+Tz00SqrdNbc15WoVbXyv1oOjcYPEZx4c3geKFWks7qob9/7XoqswNmL/1xX3Vouuxkh7\n5LO/1nw9uf3rmrz63QXWJr/U++rOztcCJkKqVqUn7qt9DbNe/GyuKE5/hsCA39S+RNJkRGysL18v\nKSLipkSZmyV9LSI+X1/eLendEfFU27GG/w8AgDEQERkDW0srquUxJWm97XWSnpC0WdJVbWV2SLpG\n0ufrYXOoPTikY/vHAwCWp5DwiIgF29dK2qlaj+v2iNhle0ttc2yLiDtt/7ztRyS9LOnDRdQVANCp\nkG4rAMBoG6kZ5rZ/xfb3bS/Yvrht2x/UJxTusv2+xPqLbX+vPhnxk8Ov9cpn+wbbB2zfX//amNiW\n+rmiu14mwaI72z+2/aDtB2x/q77udNs7bf/Q9t22X1l0PVcq29ttP2X7e4l1mZ9f3t/1kQoPSQ9J\n+iVJX0+utP0mSf9G0pskvV/Sp704ffZPJF0dERdIusD2FUOs7yj5HxFxcf3rLmnJzxUZepkEi55U\nJZUj4mciYkN93fWS/j4iLpT0D5L+oLDarXx/ptrPYFLq52f7zcr5uz5S4RERP4yIveqc+rpJ0m0R\ncTQifixpr6QNtl8j6dSImKqX+3NJVw6twqMl7Qcl9XMdaq1GUy+TYLG0xiyUpE2SPlN//Rnx+5wp\nIu6R9I9tq7M+vw8o5+/6SIVHF1kTCteqNgGxIW0yImqurd9D7NZEU5aJmsvTyyRYLC0kfcX2lO2P\n1Ned3bjqMiKelHRWYbUbTWdlfH65f9dX3CRB21+RlLwNiVX7IfpPEfG3xdRq9HX7XCV9WtJ/i4iw\n/YeS/ljSRzqPAgzVv4iIJ2y/WtJO2z9U5xxGrvg5Nsv+/FZceETEe5ex20FJr0ssn1tfl7X+uJPj\nc/1TSY2Q5vNbnoOSzkss87ktQ0Q8Uf/+jO0vqdaN8pTtsyPiqXq39PBvsjXasj6/3L/ro9xtleyj\n3yFps+1Vtt8gab2kb9WbZS/Y3lAf/Pl1SXcUUNcVrf5D1PDLkr5ff536uQ67fiOoOQnW9irVJsHu\nKLhOI8X2KbZfUX+9RtL7VLtgZoekf1cv9m/F7/NSkjfVl7I/v9y/6yuu5dGN7Ssl/S9JZ0r6O9vf\njYj3R8TDtm+X9LCkeUm/HYsTWK6R9L8lrZZ0Z+NKIrT4mGvPS6lK+rFqt8DXEp8rMmRNgi24WqPm\nbEl/U7/90ISkv4iInba/Lel2278haZ9qVwghhe3PSSpLOsP2TyTdIOmPJP1V++e3nN91JgkCAHIb\n5W4rAEBBCA8AQG6EBwAgN8IDAJAb4QEAyI3wAADkRngAAHIjPAAAuREeAIDcRur2JMAosH2CpA9K\nOl+121xvkPTxiHis0IoBfUTLA+i/t0r6gqRHVbsp3V9JeqLQGgF9RngAfRYRD0TEnKR3Svp6RFQi\nYqboegH9RHgAfWb7HbbPkHRRRDxm+9Ki6wT0G2MeQP9tlPSkpHvrjxHggUUYO9ySHQCQG91WAIDc\nCA8AQG6EBwAgN8IDAJAb4QEAyI3wAADkRngAAHIjPAAAuf1/i5fbpUX/xf4AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fb1b36f9d10>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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QUC66awTjat3L9D59Hde1ahVTo67i+rav8XzFKrT8u81hsdyxExhf7T88V7k2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\npIlCKaWUS/8Pt5RZOpgNFK4AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fb1b288fd10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pde.simulatePotential(15,40,1,7,40)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"t = 199.00\n",
"Wei-Mueller potential\n",
"V1 = 15.00, V2 = 40.00, T = 40.00, p = 3, q = 7\n",
"Chern number: -2\n"
]
},
{
"data": {
"image/png": 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GZEJNxIL5xo0bQ3tqaoqpqamRjWX5RTfe835TWL3rH/0qlZ7gyaOqJR9QzURh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\nV6IkK34NWNX/dNzedfTD/Y1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"text/plain": [
"<matplotlib.figure.Figure at 0x7fb1b36f9c90>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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YFO54Eu3mUkqpoNWnm+sqY8y7IlIhIjuBncCHAMaY+45J6Y4jsbSbSymlglWf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\nA9UWjbpEAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fb1b358bc10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pde.simulatePotential(15,40,3,7,40)"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"t = 199.00\n",
"Wei-Mueller potential\n",
"V1 = 15.00, V2 = 40.00, T = 40.00, p = 4, q = 7\n",
"Chern number: 2\n"
]
},
{
"data": {
"image/png": 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VrARG6OjjWogn5c9eGW1UAiNOT8VdWE3145qHwmOjaOQhMgWjyl/940fJZiOM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\nRFpTeIiISGsKDxERae3/A1bgJAwrBD5/AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fb1b3d49d10>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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YK0azdq6/3HOGjEHRZ/MAAIWpeSgLiHKJAYDOr03EVacX4L4xJbi6/WlEd3I/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\n3mVuqhrt7ElSAzAZwDIAewHMIblfKfW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TpDLgYWAJMBO4RVJVtzbXAZ+PiEuA2wE/uKkP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\nAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fb1b3fe3e50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pde.simulatePotential(15,40,4,7,40)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### The $T$ value of 40 is not always large enough. But same parameters work for $T=80$ below."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"t = 199.00\n",
"Wei-Mueller potential\n",
"V1 = 15.00, V2 = 40.00, T = 40.00, p = 5, q = 7\n",
"Chern number: 3\n"
]
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x7fb1b3b6d590>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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h67p9wc2liBAXUUplBn0+BrM+S1ghsX2zCJaJxwNVDhETQRCEcHRoy0Qp9RKQ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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fb1b3fc5810>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pde.simulatePotential(15,40,5,7,40)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"t = 199.00\n",
"Wei-Mueller potential\n",
"V1 = 15.00, V2 = 40.00, T = 80.00, p = 5, q = 7\n",
"Chern number: 3\n"
]
},
{
"data": {
"image/png": 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Ci/L5eU/nQEw9dSTYPnzPz9CUL/jpp96Lu7/ymWC7Wp7D5P4HYt5Qns0UHiI9EIRH6ITe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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fb1b6325d50>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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vJdewHTtSU9lq8eZRI53/Gr/9VsJhWbnZ+fMlruCihboycAQ/FTjP6TVm6XjX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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fb1b36cfe50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pde.simulatePotential(15,40,5,7,80)"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"t = 199.00\n",
"Wei-Mueller potential\n",
"V1 = 15.00, V2 = 40.00, T = 80.00, p = 6, q = 7\n",
"Chern number: -1\n"
]
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x7fb1b1ff7810>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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dM3/+fG655RZCQ0OJiIigTZs2/PrrrwBMmDABLy8vBg4cmOM1s2bNwsvLi4cffviS1rWk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\nZmapc7iYmVnqHC5mZpY6h4uZmaXu/wGQ72RNOD6CMAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fb1b20fdf90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pde.simulatePotential(15,40,6,7,80)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Something interesting happens for Chern number zero (below). There is a very slow drift along the sliding direction. Note that it looks large (0.6) in units of $d/T$ but $d$ is much smaller in this case ($d = 2\\pi/7$) vs. the above cases with $p \\neq 7$ ($d = 2\\pi$) so the absolute drift is extremely slow. This perhaps hints at a relevant correction to the expressions."
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"t = 199.00\n",
"Wei-Mueller potential\n",
"V1 = 15.00, V2 = 40.00, T = 80.00, p = 7, q = 7\n",
"Chern number: 0\n"
]
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x7fb1b3cdc2d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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Ta4kTVFwHrKVijDExljhBxVoqxhgTcxG9pkVEPMBo4CScgJSGM1hWMTAXeE1V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\nxhhjosaCijHGmKj5f+jhL2UDVoDIAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fb1b3a9bb10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pde.simulatePotential(15,40,7,7,80)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### The only value that doesn't work neatly at least for these values of $V_i$ and $T$ is $p=2$. The expected Chern number is -3. Strangely, the mirror case ($p=5$ with Chern number 3) works well, see above. "
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"t = 199.00\n",
"Wei-Mueller potential\n",
"V1 = 15.00, V2 = 40.00, T = 80.00, p = 2, q = 7\n",
"Chern number: -3\n"
]
},
{
"data": {
"image/png": 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ExNMRsYJ9L596GbAwIjojYiWwApgjaRowPiJ6TuH9NnB53QoeXQb6RhnwuNa1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\nBNnRwIfJTWEAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fb1b34e2dd0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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IKAnAXACt0h3TCsAsACCinQDyKqUKwUP4BhjhiySkm61bEARBcIK3i0sRAOesPp9P2ebs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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fb1b3db7090>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pde.simulatePotential(15,40,2,7,80)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"t = 599.00\n",
"Wei-Mueller potential\n",
"V1 = 30.00, V2 = 40.00, T = 300.00, p = 2, q = 7\n",
"Chern number: -3\n"
]
},
{
"data": {
"image/png": 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11r/gpHhfvwwMhbTfv4nZBiSnuvt9m4CIeLT8+3FJ36Z0GmWnpAURsbN8Wvqx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\nQZsbflEAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fb1b3a790d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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U3N5yZt7LzN8y8wjIQIcPeStzPudB4GCW0kafPtnbNgAAiYm45cgSn5Q4mIGX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\ncCillDLl/0ifRjUsx6jlAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fb1b3d021d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pde.simulatePotential(30,40,2,7,300,Nt=300000)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"t = 1999.00\n",
"Wei-Mueller potential\n",
"V1 = 30.00, V2 = 60.00, T = 600.00, p = 2, q = 7\n",
"Chern number: -3\n"
]
},
{
"data": {
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F/GplgL1f8J6T1/ILRx3EaystimrrofrzSOK9px7J8cv6WTJQoqdU4vBVB3PK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\nAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fb1b34d9c50>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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FW7ZswcGDBzF16lS88cYbuHLlSo50+/btw7Fjx9CpUyeX1ycidO/e3TIr78yZM9GhQwcU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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fb1b1446f50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pde.simulatePotential(30,60,2,7,600,Nt=1000000)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Summary of numerical explorations\n",
"---------------------------------\n",
"\n",
" - Sweeping $p$ from 1 to 7 with $q=7$ gives a range of Chern numbers from -3 to 3.\n",
" - We have pretty strong numerical evidence of the Chern number dictating the position of the polymer chain for almost all values of $p$, provided $V_i$ are large enough (potential beats spread) and $T$ is long enough (adiabatic approx).\n",
" - Quantization is rigorous for $\\langle x \\rangle_\\text{q}$ and likely approximate for $\\langle x \\rangle$ (treating $u$ as a wavefunction and as a probability function respectively).\n",
" - $(p,q)=(2,7)$ does not match even for \"very large\" $T$. Understanding this case, and the slow drift associated with $p=7$ (Chern number 0), are likely routes to understanding the corrections.\n",
" - Dependence on initial position has not been investigated."
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"Dependence on initial condition\n",
"-------------------------------\n",
"\n",
"The general mechanism for the evolution seems to be that the probablility distribution quickly gets confined to some sort of peak which moves adiabatically with the potential minimum. In fact, the discrepancy between $\\langle x \\rangle$ and $\\langle x \\rangle_\\text{q}$ becomes apparent when $u(x)$ acquires a spread, for instance with $(p,q) = (5,7)$ above. One question this raises is whether the potential needs to completely dominate the diffusive part (spread) for the notion of quantized stretching to hold.\n",
"\n",
"Another question is whether this is sensitive to the position of pinning the beginning of the polymer chain -- what if a slightly different starting point has the system evolving along another \"valley\"? Let's test this below."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"t = 99.00\n",
"Wei-Mueller potential\n",
"V1 = 20.00, V2 = 40.00, T = 40.00, p = 3, q = 7\n",
"Chern number: -2\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3d5e8150>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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ZnJPoJlcS5YHRXh4uayYn1bgkh7eKE3J+Mu81krI4dNVNy2IQpENS3m1jZrTT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\nMEREZCQKDBERGYkCQ0RERvL/A9yG5AfyYdH6AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3d380190>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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KKeUJf04u7wNdjDFbgRuA9wCMMXHGmFMrdsUAC4wxq4ElwBQRmVkZlQkOhjyj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\nExEvSbqYLGQORcTvG1q4mZnNSxGRdw1lSboZ2AJ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"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3d10e4d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"t = 99.00\n",
"Wei-Mueller potential\n",
"V1 = 20.00, V2 = 40.00, T = 40.00, p = 3, q = 7\n",
"Chern number: -2\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3dc7a750>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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Qc3j0/qRePzT6n/8vZdmw36UFPHXfZ8qy/toJ2m3j0ENVePWKEEka/e7aaug5HK16LKvH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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3d47d350>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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KKeUJf04u7wNdjDFbgRuA9wCMMXHGmFMrdsUAC4wxq4ElwBQRmVkZlQkOhjyj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\nExEvSbqYLGQORcTvG1q4mZnNSxGRdw1lSboZ2AJ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"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3d073250>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"t = 99.00\n",
"Wei-Mueller potential\n",
"V1 = 20.00, V2 = 40.00, T = 40.00, p = 3, q = 7\n",
"Chern number: -2\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3d1122d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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ZTpPZbr0kIZ108Jpe2yyIMJJEeDK7CsiGpJDlvFNhKBSeV4ECaNqyOM6E5jPC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\nVNad6JqYAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3d446ad0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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JKHoeDtwAeL6snRdCQqDQovOLKaWUJ/w5ubwLdDfGbAO6Ae8AGGPijTGnVuyK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\nzCw5h4uZmSXncDEzs+T+C1gAOJcsmF6yAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3dc1bd10>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"t = 99.00\n",
"Wei-Mueller potential\n",
"V1 = 20.00, V2 = 40.00, T = 40.00, p = 3, q = 7\n",
"Chern number: -2\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3d6b2d90>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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lt+t4BPGMKMdL6Jw6BAAIO0WJa2cGk63rCkEaakrrho1piADdTt7raDdmnUcY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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3da80790>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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HSUxMvGK9nTt3cuTIEfr3759v/cYYhgwZknVX3rlz59KnTx+sVmu+65UXXhUcxmbDkqaH\nqlQZVEJzx545c4bw8PBc7y0VGRnJmTNnnKqnf//+WTP63XnnnTRq1ChrPg1wzBw4bNgwjDEMHTqU\n48ePc+rUKZfbe0m9evUYMmQIxhgGDhzIsWPHGDNmDH5+ftx4441YrVb27NlzxXpnz57N6ltB+vTp\nw48//kh8fHzWfOTKwbuCw1+DQ5VRJTR3bHh4OGfOnMlxLP+S48eP55jeNT8zZ84kKiqKsLAwwsLC\n2Lp1a47QqVatWtbzgIAAgCLd2+ryaWfB0Zfsy3Krv3LlygBOTS3r7+/Prbfeyrhx44iNjaVjx46F\nbq+30eBQqhzr2LEjNpuNL774IsfyixcvsnTpUm6++WbAcegq+6Gf7B+8hw4d4qGHHuL9998nLi6O\nuLg4mjVr5vTdgC8/LBUUFASQ4/1OnDjhWsfy0KRJE2rVqsWCBQucKj948GAmTpxYpBkNvZF3BUeA\nDUu6nuNQylmhoaG89NJLjBgxgm+//Zb09HQOHDjAwIEDadiwIQMGDACgdevWLFmyhLi4OE6cOMHk\nyZOz6khISMBisRAeHo7dbmf69Ols2bLF6TZERESwb9++rL/Dw8OpUaMGs2bNwm63M23aNPbu3Ztv\nHc6GFDh+RfbKK68wY8YMLly4gIiwatUqhg8ffkXZ7t27s2LFCp1j5DJeFRwWmxVLuo44lHLF6NGj\nee211xg1ahQhISHUr18fYwxLly7F19dxp+nBgwfTsmVL6tatS8+ePbnrrruy1m/atClPPfUUHTp0\noFq1amzdurXA+buzjzJGjhzJvHnzqFy5Mo8//jgAU6ZMYfz48YSHh7N9+3Y6d+7sdH25/Z1d//79\n+eyzz5g6dSo1atSgWrVqvPTSS/Tu3TvX8j169KBixYr5vn95U6oncnJG9omc4p8cy8cfCU9e0Jmc\nVOlSliZymjFjBs888wyrV6+mXr16Jd0cVUTlbiInV1kCbfikF8/Vrkp5q6FDh+Lr68tvv/2mwaFy\n5VXB4RNgw8eu5ziUKqp77723pJugSjGvOsfhE2DFN0PPcSillCd5VXD4Btnw0+BQSimP8qrgsATY\nsJFCRkZJt0QppbyXVwUHNhsBlhS9XZVSSnmQdwWH1YrNkqrBoZRSHuRdwWGzEWB0xKGUUp7kdcHh\nr8GhlFIe5XXBYdPgUEopj/K+4EDPcaiyw263s379etavX5/rrc2Lqw4o2XnH69Wrx8qVK4vlvQBm\nz57NNddcQ0hICDVq1ODWW2/ll19+yXq9bt26+Pv7Exsbm2O9qKgoLBYLhw4dcvk9i7uPnuRdwWG1\nYkNHHKps2LhxK23bPk63bgfp1u0gbds+zsaNW4u9Dihf845PnDiRJ598khdffJFTp05x6NAhHnnk\nkRxzjhtjqFevHnPmzMlatmXLFpKSkgqcndATzp8/T5s2bZg0aRJTp04lJCSEsWPHMmXKFHr37s2s\nWbOKt0GFnXO2tDzIPp/u9u2y39ZY1q8vYBJepYoZl837nJGRIa1bjxDIyDYLk2NZ9rm28+OOOkSc\nn3fcGCN79+7Nev3yecjzm3e8bt268p///EdatmwpFStWlIEDB0pKSoqIiAwePFgsFkvWvOPjx48v\n8L3q1q0rb731lrRo0UJCQkLkgQcekJMnT0qvXr0kNDRUbrzxRjl37twVfT1//rwEBwfLggUL8t0m\ndevWlVdffVWuueaarGWjRo2S1157TSwWixw8eDDX9fLaBpf6GBgYKCEhIfLWW2/l+/6XmzNnjpw6\ndUpERA4fPiyVK1fOeu23336TNWvW5Lnu5fveZct1znFsNmyiIw5V+m3cuJFdu6LJOei3sGtXdzZu\n3FhsdUDR5h3PrqB5x+fNm8fy5cvZv38/mzdv5pNPPgEcswfWrl2bxYsXEx8fz+jRo536Vv/FF1+w\ncuVKdu7cyTfffEOvXr144403OH36NBkZGVnzl2e3evVqUlJS6NOnT4H1d+jQgQsXLrBz507sdjuf\nffYZgwYNyvcux3ltg0t9XLRoEfHx8YwaNarA98+udu3aVKlSBYAffviBbt26Zb0WGBjI1Vdf7VJ9\nReV1wWHV4FDKJcU17/jIkSOJiIigYsWK3H777WzatCnH+tk/kPP7cL5kxIgRhIeHExkZSdeuXenQ\noQMtW7bEarXSt2/fXMPz7NmzefY1N4MHD2bGjBmsWLGCpk2bUr169XzLF7QN8uvXhg0beP/993nx\nxRdZuHAhCxYsYNiwYQB06tQpq9wPP/zAddddl/V38+bNCQkJcao/7uJdwWG14id6clyVflFRUTRu\nHANkP5ltp3HjH4mKiiq2OqD45h3PXk9gYGCR5hy/vL6AgIAr/s5rzvG8+pqbQYMGMXv2bD755BOG\nDBlSYPmCtkF+Tp8+zVVXXcW2bdvo3bs3/fv358cff7yi3A8//ECPHj2cqtNTvCs4bDb8dMShygCL\nxcK0aQ/TuvXjBAYuIDBwAa1ajWTatIed/jbsjjrA+XnHAwMD85wH3N3zjuf3XkVxqa9fffWVU+Vr\n165NvXr1WLp0Kf369cu3bEHboKDDbzfffDPfffcdgwYNAhyH1Vq1apWjzIEDB0hOTqZZs2ZOtd9T\nvC847BocqmyIimrG+vWT+Omnuvz0U102bJhMVJRrHwjuqMPZecejoqKYPXs2drudZcuW5fg2XNR5\nx6tVq5Zj3vH83qsoQkNDefnll3nkkUdYuHAhSUlJpKens2zZMp599tlc15k2bRorV64kICAg37oL\n2gaXz62em5UrV3L99dcDjpkYhwwZwuLFi3O8Hh0d7WRvPce7gsPPD4tkkJpc+N+yK1WcLBYLbdu2\npW3bti6NEtxdhzPzjk+aNImvv/6asLAw5syZk+NkekHzjhf0bfvZZ5/llVdeoVKlSkycOJHJkyfn\n+V651efKT2SffPJJJk6cyLhx46hatSq1a9fmvffey3HCPHt99erVo02bNgW+V0Hb4LnnnsvRx8sl\nJSVRsWJFKlSoAEBwcDDnz58nMjKSbdu28eGHH/LBBx9w7tw5pk6dWqJTEXvVnOMAqT7+zP/oHPcM\n8y/BVimVU1macxx03nFvonOOOyHDx0pGYgqgwaFUYem84yo/pT44jDEWYB1wRETuKKh8uo8tMziU\nUkWh846rvJSFcxwjgW3OFk73sWFP0uBQSilPKdXBYYypCdwCfOzsOhm+NuzJ+rMqpZTylFIdHMD/\nAaMBp88q2n2tOuJQSikPKrXBYYy5FTgpIpsAk/koUIavDUnW4FBKKU8pzSfHOwN3GGNuAQKAEGPM\nTBG54rr/sWPHZj1vlpGiwaFKnTp16pTI7biVqlOnDgAxMTHExMS4pc4ycR2HMaY78FRuv6q6/DqO\nw/W7saj9K/xjbvfibKJSSpUpRbmOo9Qeqios8bMhKXpyXCmlPKU0H6rKIiI/Ak7drEb8rEiKHqpS\nSilP8b4Rh9WG0eBQSimP8crgQINDKaU8xuuCA5sNva+6Ukp5jvcFh9WKSdURh1JKeYr3BYe/DUua\nBodSSnmK1wWHsWlwKKWUJ3lfcPjbMGl6jkMppTzFK4NDRxxKKeU5XhccFn8rPukaHEop5SneFxwB\nNg0OpZTyIA0OpZRSLvG64PAJtOGToSfHlVLKU7wuOCz+VnwzdMShlFKe4nXB4RNo0+BQSikP8rrg\n8A2y4WfX4FBKKU/xyuDwtes5DqWU8hTvC45AK36iIw6llPIUl2YANMYEAoOA5jhCxx+wAxeBNcB8\nEbG7u5Gu8Am0YZUU7HaweF0sKqVUyXM6OIwxNwBXA4tEZEour7cCnjTGrBCRP9zYRpcYfxv+JoW0\nNMfUHEoppdzLqe/kxhh/4HPgJBCSWxkR+UNE/oNjBFJybDZsJlXnclJKKQ9xasQhIsnGmOdE5DMn\nyv5Z9GYVgc2GjRQNDqWU8hBXzgJcY4xpnNsLxpgqbmpP0Vmt+GtwKKWUx7gSHHWAt40x+4wxy40x\n44wxtxtjIoC/eah9rrPZsGpwKKWUx7gSHPNEpKeI1Af+CWwDrge+AMZ7onGFooeqlFLKo1z5OW5f\nY8x0EUkTkT3AHmA2gDFmlEdaVxg2G36iJ8eVUspTXBlxPIYjPFrn8toKN7Wn6KxWrKIjDqWU8hSn\nRhzGmCZAhoh8ntvrJXndxhV8fbFgJy05A/Ap6dYopZTXcfZQ1V4g2hhzM5AB/C4i6z3XrCIwhjSL\njfSEFCCwpFujlFJex9nrONKB7zIfGGPaG2P+ARhgJxAjIhkea6WL0iw20hNT0eBQSin3c+leVZeI\nyFpgLWQdxvq7McYPOAp8KyKJ7mui6/4acSillHI3V+5VVVlEzl6+XER24hh1YIyJBG7DcXuSEpNu\nsZKRqMGhlFKe4MqII8YYsxuIB9YBvwEbgQ5AhIgsEJHjlHBoAKT72DQ4lFLKQ1y6jkNE9hhjAoDn\ngeuAx4FgHCfPF3igfYWS4WMjI0l/j6uUUp7gdHBkXvSHiCQZY/aIyAyAzHMbfTzUvkJJ99URh1JK\neUqhTo4DqcaY6cA3wA6ghvuaVHR2Hyv2JA0OpZTyhML+qmqOMWY9jtkAo4GZ7mxUUWX42ZBkDQ6l\nlPIEZ68ctwHB2X9VJSK7gJdyKVtLRA67o3HGmJo4QikCxwRRH4nI2wWtZ/fV4FBKKU9x6l5VIpIC\ndDTG3J15cvwKxpiKxpiHcNx+3V3SgSdFpBnQEXjEGHNVQStl+NmwJ+vJcaWU8gRXTo4vMsZUA54w\nxlQF/AE/HB/uicAR4GMROe+uxonICeBE5vOLxpjtOM6n7Mh3PT8bpOiIQymlPMGlcxyZH+Sveagt\n+TLG1AVa47h+JF/iZ9VDVUop5SGu3h13j4fbk9f7BwPzgZEicvHy18eOHZv1PDo6mspWHXEopVR2\nMTExxMTEuKUuIyIFFzLGF8evp5pQzHfHzXzvRcBSEZmcy+tyeR82dxrOzoDW3Pn98OJoolJKlTnG\nGETEFGbdsnB33GnAttxCIy9i0xGHUkp5Sqm+O64xpjNwL/CnMWYjIMDzIrIs3xWtVozeHVcppTyi\nUMFhjIkQkZOZfx4Skf9mLnfr3XFF5BcKMY2fsdkwaRocSinlCa7MOY4x5nljTE/gjmyLmxljegCI\nyPG8ppctVjYbRicdV0opj3B1xPEF0APHoanbcVxjsRbHtRU/uLlthedvw5J2oaRboZRSXsnV6zh2\nADuMMftFZJkxJgJoj2NejlLD+NuwpOuhKqWU8oRCXcdx6eR05nmObzzXvMKx2Kz46DkOpZTyCGdH\nHHuBaGPMzRTzdRyFYQmw4aMjDqWU8oiycB2HyywBNizpenJcKaU8oVRfx1FYlgAbPhk64lBKKU8o\n7AyAWURkJ45Rh9uv4ygsnwArvhocSinlEUUOjuxE5DglHBoAPoE2DQ6llPIQl4PDGFMd6J3550IR\nOebeJhWdb5AN3ww9x6GUUp7gdHAYY64BOgGHgSmZi/tkBslqEVnngfYVik+gDV+7jjiUUsoTCgwO\nY0wfHNPBrsnlDrULMst0MMaMBPaJSIlf1+ETaMNPg0MppTzCmRHHryLyVX4FRGQNsCZzStkS5xdk\nxarBoZRSHlHgTQ5F5NTly4wx9Ywx/s6ULQm+QTZ8Rc9xKKWUJ7h0d9xsRgEdAIwxXYwxndzXpKLz\nC7ZhFR1xKKWUJxQ2ONYCdY0x9URkFVAqDlFd4hdsw0YKTsyKq5RSykWFDY5aQCrwpDFmJdDOfU0q\nOou/FRsppKeXdEuUUsr7FPYCwH3AfBGZbYypDPRzY5uKzuYYcaSmgp9fSTdGKaW8S2FHHJ8BzTKf\n1wequac5bmKzYSUVnQRQKaXcz0gBJwKMMcOBOOALEUnLo4wVx6gjREQ+cnsr82+f5NaHdOPL2SPJ\nRNRw611VlFLKKxhjEBFTmHUL/FQVkQ8zr894wBhjB74UkdOZb1wFR2BI9uWlQZqxknYxBTffjksp\npco9Z+fjOAV8mDmy6Js5ZSzASWC6SOm7aCLV2DKDI6ikm6KUUl7F1TnHU3Gc3yj1Uo2NtIRSl2dK\nKVXmFfbkeKmXZrGRnqAXASqllLt5dXBkJGpwKKWUu3ltcGRYrBocSinlAV4bHGk+OuJQSilP8Nrg\nSPexkZ78FxfVAAAZrklEQVSoJ8eVUsrdvDY4Mnxs2JN0xKGUUu7mvcHha9XgUEopD/Di4NARh1JK\neYLXBofd14Y9Wc9xKKWUu3lvcPjZkGQdcSillLt5bXBkaHAopZRHeG1wiJ9Vg0MppTyg1N9z3BjT\nE5iEI+SmisibzqwnfjYuxKayeTMkJ0NqKtjtjoe/P1x7LZhC3YleKaXKt1IdHMYYC/AucD1wDPjd\nGLNQRHYUtG6Fqjb8Y77gz+v24W9JxWrS8JdkrJJMbLydXyaMocujrT3dBaWU8jqlOjiA9sBuETkI\nYIyZC/QGCgyOlm8NhmVVuMbPD6xWx+TjAQHg70/M7GO0GH0ztP0KOnb0cBeUUsq7lPbgqAEczvb3\nERxhUrDmzR2PXDTqAA8ub8hnd9yBmTMHbrihyA1VSqnywmtPjuenRg043roXa0YtgHvugZUrS7pJ\nSilVZpT2EcdRoHa2v2tmLsth7NixWc+jo6OJjo4usOIBA+C/67vR8emn4auv4LrritxYpZQqrWJi\nYoiJiXFLXUZE3FKRJxhjfICdOE6OHwfWAneLyPZsZaQwfTh2zHEk6+SEWfitWAKzZ7ur2UopVeoZ\nYxCRQv22tFQfqhKRDOBRYDmwFZibPTSKonp1R3BsOBQOZ864o0qllCoXSvuhKkRkGdDEE3UPGACL\nl1bhWg0OpZRyWqkecXha//7w1apw5NTpkm6KUkqVGeU6OCIjoXrLcOynz0ApPtejlFKlSbkODoDo\nW4PIsBtITCzppiilVJlQ7oOjVi2It+oJcqWUcla5D47ISIi1hMNpPc+hlFLOKPfBUb06nLLriEMp\npZxV7oMjMhKOplbR4FBKKSeV++AIDYUzEk7KET1UpZRSzij3wWEMpIaGk3BQRxxKKeWMch8cABmV\nqpB8VINDKaWcocEBWKqGk3FSg0MppZyhwQFYq4djzug5DqWUcoYGBxBQKxy/czriUEopZ2hwAKEN\nquCfoMGhlFLO0OAAKjWsRHBqLNjtJd0UpZQq9TQ4gMjaflw0IRAXV9JNUUqpUk+DA8fV42fQ244o\npZQzNDiAihXhtFQh+YgGh1JKFUSDA8fV4xcDwonb7XpwnD0Ld94Jmzd7oGFKKVUKaXBkSg4O58J+\n167l2LkTOnSAKr98xTefnvNQy5RSqnTR4MiUXrEKyYedH3GsXAndugrzmrzI+8f7Igu+8GDrlFKq\n9NDguKRKOGnHnQuOJUvg3rsy2NjhH7Q+sYz0F8ZQ68ivxMZ6uI1KKVUKaHBk8q3m3CyAq1fDg0NT\n2dLiLqon7oEffsC3f2+ibav57rtiaKhSSpUwDY5MATXD8SngtiPbtkHfPsJvrR6ksn8iLF4MISHQ\nogWRaYdY9Y1eB6KU8n4aHJmC61XBdiHv4Dh8GHr2hOUdx1Azfjt8/jnYbI4XfX1Ja30Ncct+Q6SY\nGqyUUiVEgyNTxYbhBCXlHhzp6XD33fBh249ouWU2LFoEQUE5ygRe15F2qb+yc2fR23LkCCQnF70e\npZTyBA2OTFWahlMxLfdzHK+/Dp0SVtBrzUuwdClUrXpFGdOpIzcGr2b58sK3IS4Onn4smSl1xjF/\n7JbCV6SUUh6kwZEprG4F/Ekm6VxKjuVr1sD/3j7L68fvw8yeDY0a5V5Bhw40ilvLimUZLr+33Q4f\nfAB/a7CRkbPa8Uzw+1jnzy5MN5RSyuM0ODIZi+GcT2VO7zibtezCBbj3HuG7xv/A556B0KNH3hWE\nh2OpXo0zP24lJSXvYpeLi4N+vTMwr73Kt9xMjbefJX3aTGod+InU1CJ0SCmlPESDI5sL1nDO7vzr\nPMcTT8CzdedS89xWeO21Atf36dqJ3lVX8+uvzr3fpk1wQ9RZXt98Cw/VX4HvH+th0CAq9OxIa9nI\n7z8lFbYrfxEhefH3ZOw9UPS6lFIKDY4cEoPCubDPcZ5jwwbY8PURHtjyOHz6Kfj7F1xBx47cHPor\nS5YUXHTOHBgVvY6fEtrSdGArLN9/B7VqOV4MCuJ0RAt2frq2cP1IhMmThDe7LeaPwA4k39afP+4c\nV6i6lFLqchoc2aRVqELCwTOIwOjR8GXEw1hGPApt2jhXQadONItfzfTped+hXQTeegvWPDqLZZZe\nBH04AcaPB1/fHOXsXbqS/sNPLrVfBD77DAbX/4Vb/92ehw48R9i4URz8ciN1//gKe0qaS/UppVRu\nNDiykcrhpB47w7JlUH33j9RO3AHPPut8BVdfjTXuFMNuP80bb1z5ckYGjHxM8JkwngkBL+D7cwz0\n759rVdUHdqPBsZ85f965t96yBfp3OErI8HuZbb+Lhu8+QdiBTdR+6k5a9q7HUVsDtrwb43xfMqWk\nwPSpdkY0/4EPXzpGerrLVSilvIwGRzY+EeFknDzD06OFScEvYsaMAT8/5yuwWODaa3k2eg3Tpzsu\nGrwkPR3uvdtO9y8fZ2SlT/Fd8ws0a5ZnVdYenenAGn78Lv9RQkoKjP1XBp91mMj/trai5z/qYdu/\nA+65x9EeHLeNP3vdncR9NM/prly4ABNeT+W5atO44bGrGRf/GPe83pwNYdex77mPHAUK4cIFmDUl\nkdfbzGPNMr2jsFJlkoiU6YejC+6xdfjb8oHPI/Jks6Viv+oqkfR01ysZM0bkscfk+edFHnjAsSg9\nXeSegemyMvJuyejaXSQuzqmqTlZrIeP/9luer//6q0jven/IzorXSHKnHiK7d+dZ9sTqfXLahEti\nfFq+7xkfL/Lmy0nybPDbciaghpzveJPIypUidrvYE5Pkp8cXyPfWnrKv8U0idrtT/bDbRX78UeSF\nnuvkY+twifcLk9iKdWV6hZGSkOBUFbk6dUrk65lxMuumGfJDWF/56cVvC1+ZUuVM5mdn4T53C7ti\naXm4MzgOvD5b5jJALlzVVuTzzwtZyQGR2rUl4T/vS5UqIlu3itw3JEOWRQ6V9OtvFElKcrqqUwMe\nkdfD/3PF8rQ0kZdfTJX/BL0kySHhYp/ykVMf4jtC28nK51fk+lpSksjE15Lk2eB35ExADYnvcYfI\nunW5lj2yP1W2+TaX7S9/lu/7xceL/Pf/EuTF6lPlT/+2cj6sjlx89hWRw4dFjh+XC9YwGffQwQLb\nnd3ZsyLT346X15rOlGW+t8hF31DZeXUf+aPvS7Lfp76cPuz89r3k5EmRWW+flbc7z5Vvmo6WrbVu\nkvPBkXL84TEu13XJsWMiX89NkPPnC13FFVJS3FeXUl4ZHMB4YDuwCVgAhOZRzl3bUdKXLpe0gGCR\n1q1FMjIKX9G+fSJ168p3d0ySSmF2+bLacEnv3E1c/XqdMXuuLLHeIQezfbbu3Svyt6g9sq3CtZIU\nfbPI0aNO17fhrjdlca2HcyxLTxeZOT1dHq80Q04G1Jb4brfmGRjZ/fzGKjnmU0NiD1z5ybhvn8i4\nB/bJu/5PSry1kpzucJvYFy2+YgSXMPI5+Z//MPkt70GViDg+ML/6PEVeu/Yr+cL3TknwDZVj7W6X\nlE9mO9Ip0+b6d8hnUeNk3bp1sm7dOsnI599w1y6R/z69RybXmSA/+3SXBN8QOdjyNtnY/xVZNPxr\nmfz3P+SopYYcm5l70F7uwgWRxfMS5L3bl8r0Sk/KFp8Wko5FpoWMkJUrXB+52u0iW7fYZfaYHTKt\n00fyVYXBspWm8r/bZjs70LtCbKzIyq/Oy5Knf5Dver0lvze5V3ZMWlq4ysTxBWb3bvcGmgvfq1yS\nkZHh1H5RnnhrcNwAWDKfvwG8nkc5N21GEdmwwbFJvvmm6HUdOCAZ9erLvlpdJb3dtTk+4Jx29KjE\nWyvJlA8z5NtvRe652y7DAz+RhKBwyZg02eVwS/hzr5w0VeX4Ycfhqm+/FflHvaWyO7CFnG/eSeTn\nn12q79emw2RRo5FZH2S/rbHLC91/lq/9+slF/0py/qFRjhTJS2ysJIWEy20Nt0ty8pUvb9pol/ED\nfpeP/B+VOL9wOd6oqyRM+q9j2JGLX+YukeZEi791ngQGLpDWrUfIhg1bRMTxQfznZru899Ameb/K\nS7LVt4WcC4iQw70elNQvvhFJTLyivi8fWSHHfWvIud2nrnjNbhfZttUu05/6Uz5s+JZ873ODJPgE\ny6G6XeXIw/+W9FWrRc6ckdOtr5dv/W+XUf+4mO/3BrtdZPs2u8z+1zaZ0uZ9+dI2QE75RMjpoNqy\n89pBcvCF/0rs7KVyxqeKTP/7qrwrylbfju12mffqDpnWZap8XvHvstXSTBItgbKrSkdZ1WaELO05\nSU6bcNnwfzEF1peRIbJzh12+emuXfHLT/2RO5BPys6WrnDMVZZ+pJ+sr9JB1Le+X/R84F0QZGSK7\ndmTIokm7ZVafz2Vug+flO/9bZBcNZUrHac4ezc2Snu6ob+k7u2XuXV/I/NavyHdVBsoWa2t5p/tY\nadVqhAQGLrhiv8ivvt07M2TFh3vkiwcWyfL+H8pvN/9LtnX+uxz/eJFrjcusb8/OdPlh6l5Z+MQP\nsuvPXHZ4F+s7sDdd1szeKyv+FSNnj7leX1GCwzjWL92MMX2A/iIyOJfXxG19uHABXnkF3nzTcUa5\nqI4cgVdfdVw8GBZWqCriqzak8+mvqBhVjyl+j9Do/O/4zpsLLVoUqr4D4W1Z2PktNp2txZCNT9Cu\nwi6C3xuP6dPb5T4nHzlDQr1mzLxrCWc3HaHvrjdpEHqKgOeewPbQUAgOLrAOef0Nfn1nPf+6ah5R\nURAZCYFJZ0mcMotbT04lIjgBM3QoYSMGQf36edZjt9tp2/ZxNm2axF+/+bDTqNFIHus6FL+FX3DT\n+XmEBqaTfGt/Iv/RF0unDuDjk2/7vmv3DIEHt9PuyELsYvhxaSL7Pv6e0J8WE520BP8ACxe69CJi\nyM0E3HodhIbmrCA1lZT7Hubot39yr30WHYY24YG/G5o3d+wea+Ye4Nz876j8x0o6p/6AJcDGuage\nhPWNpnK/7lC3bo7qYv+3lPShw1j8wmruf/mv19LSYNPaVHbPXU/qylVE7FlF+/RfsQcEEde0E4HX\ndaRa3474tm2V4wcfGyespObou9gzeQkdR7TLWn7mDGxcdpJT3/yG+X0t1Q6vpa39d1L8KxDXoB2+\nHa8h4tZ2BHdowcWj59m+7CBHf9xD1IrxHG3YnUaL/o8qjSoCjl8T7tqWzp5FO4iP2YBty3qqn9xA\nC/sfJPuHcbZOFLSOomL3VoTWDyfhzvv4TAZw1fxx3HDTlb/fOX8etv0Sx/Hlf5Ky9g8C9mymxtnN\nXC1bSfCvTGz1FqQ0ao5v6+b41oqg36Pj2Sbf5tgvWrd+nPXrHfvKwf129n2/n9hVW7Fv3krwwa3U\nOL+Nxuzkoi2c2KpXcS60NnEB1Ykzlei6biLHO/aj9dI3sIbYcrQtIQF2b7zI8ZidXFy3A7NzByHH\ndlDjwg4asofztqokBlbB/9xx5td+ipBRD3PrgCCqVLly3xOB48eEA78c5ezqXSRv2Y3vvl1UOLmL\nGgm7qcMBR33WMJKShL1jZ3Hb8y3z/N84Odmxu1/65zfGICKF+qArK8HxNTBXRK64gZNbg6MUyrhv\nGBdMBSr+vsJxPckHH1xxZ15XHBj+Bmkfz6Cm/2msLz6Dz5MjwWotdH3Hxk2jykvDia/TggqvPYvv\ngH4FfhjnkJiIvUFDVvd9C/v+g0RuWU6NkxuJ63I7Ec8/gM913bN+HZaf9evX063bQRIT++VY7s+n\nLAp+lqv6Dqb6Y3di2rZxKSAzklLZF9mJP0wUwReO05WfOFOnHdZ+t1Lt/lswTa8quD4RePNN0ie/\nR+q5BNbb23DCpwbtUlYR5pfA6ZbXU6Hf9VQZ0ANTv16BbYod+zanX53CO7cuo8KRrdQ8sIrmcT/T\nlnWcqdSY5LZdqNy7C5Vv7wQ1axZY3/Y3FlLpheF8228K9r37qbxrNS0T11DJ5xwnardHrrmWKre2\nJ+zm9rne4DNH2w5dZNvtT1NvyzesuuZJfA7vp9aJdTSXzZwPqs65Bm3xa9+GiJ5RhHaPgsqVr6zk\n9Gniovuwan9NpjV+g/p+h6lj30/ExT1UOrKZJkmbqGxiOVGlBUkNW+J/bUuq3diS4A7NoWLFHFWt\nX7+ebl33k5j0txzLrZY5vBk6m67xJ2gq27hoq8zZyOakN2lGUPtmVOtxNYFtmzrm27nMoU2xHO35\nAKHnD7F36Cuk7D2C3+5tVDq5nXrJ2wk3ZzgV2ogLNZvCVVcRcs1VVO3ahIBWjbP+301bu4HTT7xO\n0LofWSY3ExtUi4BGNQmJDMbs20PwkZ1Ui99JQ/tukvxCOFO5CSm1GmFp2pgKbRtRtXMjbFc3gIAA\nEGHf2BmEvTaaz2o/Tejoh7Hv3Y/vgT34HdqL/5E9VDq7m1opezg35XOaP9gRKMPBYYxZAURkXwQI\n8IKIfJNZ5gWgjYjkesGDMUbGjBmT9Xd0dDTR0dEea3OxmzEDhg+Hd9+FYcOKPhI6dgz+8x/HFY6R\nkUVvnwj8+adjBFTYtk2fDhMnwg03wE03QbduLodjXsER6P85P/1cn7bt2uWxZsESN+/h1HP/R3i/\nbgT3v/mKDyeXnDxJxtr1nN5wmKp9O2Np0cz17SbC+aGPETh3KuevuhZ7xy4E39yZwOs7QoUKhWrW\n/nH/w+fdSSQ3bUPwjY7RiaVJI6dCOzeHZ6wk/v1P8WvdnGq3tnWEhCttS04mddjDyPIVJEbU40J4\nPRKq1ie0S0uq9WyNT6P6RftCYZnN7Hu3cf2g2wjtcPWVI8UCiF3YPPx9Ar6eS3LNRvi0uJqKHZsS\nEd0U3wZ1nP/ytHMn9l/XcGbjYWI3Hyb17AWkQUOCopoQ0bUxIW0bO73d0vcc4GSv+6iy/zfOVmjA\n+SoNSK7RAOvVjQhr34htljP8vHNb1nZ7+eWXy2ZwFMQYcx/wIHCdiOR660BvH3GQlgYnTzr1zbE8\ny+tQ1aVDEpZCfgCWahkZro3uyqFyuV+IOPVlpMyOOPJjjOkJTAC6icjZfMp5d3Aop23cuJVhw/7L\nrl3dAWjUKIbp04cTFZX3hZbK++l+kTtvDY7dgBW4FBprROSfuZTT4FBZ7HY7GzduBCAqKso7v1Eq\nl+l+cSWvDA5naXAopZTrihIcGrtKKaVcosGhlFLKJRocSimlXKLBoZRSyiUaHEoppVyiwaGUUsol\nGhxKKaVcosGhlFLKJRocSimlXKLBoZRSyiUaHEoppVyiwaGUUsolGhxKKaVcosGhlFLKJRocXiQm\nJqakm1Bq6Lb4i26Lv+i2cA8NDi+i/1P8RbfFX3Rb/EW3hXtocCillHKJBodSSimXeMXUsSXdBqWU\nKovK7ZzjSimlipceqlJKKeUSDQ6llFIuKTPBYYzpaYzZYYzZZYx5Jo8ybxtjdhtjNhljWhd3G4tL\nQdvCGNPdGHPOGLMh8/FiSbTT04wxU40xJ40xm/MpU172iXy3RXnZJwCMMTWNMSuNMVuNMX8aYx7L\no5zX7xvObItC7RsiUuofOAJuD1AH8AM2AVddVqYXsDjz+bXAmpJudwlui+7A1yXd1mLYFl2A1sDm\nPF4vF/uEk9uiXOwTmX2tBrTOfB4M7CzHnxfObAuX942yMuJoD+wWkYMikgbMBXpfVqY3MBNARH4D\nKhhjIoq3mcXCmW0BUKhfS5QlIrIKiMunSHnZJ5zZFlAO9gkAETkhIpsyn18EtgM1LitWLvYNJ7cF\nuLhvlJXgqAEczvb3Ea7s/OVljuZSxhs4sy0AOmYOwRcbY64unqaVOuVln3BWudsnjDF1cYzEfrvs\npXK3b+SzLcDFfcPXzW1TpcN6oLaIJBpjegFfAY1LuE2qZJW7fcIYEwzMB0ZmftsutwrYFi7vG2Vl\nxHEUqJ3t75qZyy4vU6uAMt6gwG0hIhdFJDHz+VLAzxhTqfiaWGqUl32iQOVtnzDG+OL4oPxURBbm\nUqTc7BsFbYvC7BtlJTh+BxoaY+oYY6zAXcDXl5X5GhgCYIzpAJwTkZPF28xiUeC2yH6s1hjTHseF\nnrHF28xiY8j7+Gx52ScuyXNblLN9AmAasE1EJufxennaN/LdFoXZN8rEoSoRyTDGPAosxxF2U0Vk\nuzHmYcfLMkVElhhjbjHG7AESgPtLss2e4sy2AP5mjPkHkAYkAQNLrsWeY4yZDUQDlY0xh4AxgJVy\ntk9AwduCcrJPABhjOgP3An8aYzYCAjyP45eI5WrfcGZbUIh9Q285opRSyiVl5VCVUkqpUkKDQyml\nlEs0OJRSSrlEg0MppZRLNDiUUkq5RINDKaWUSzQ4lFJKuUSDQymllEs0OJTyAGOMrzGmSUm3QylP\n0CvHlfIAY8wNwAEc9456G/gSuBM4iON+Yw8C7UXEXlJtVKqwysS9qpQqzYwxVwH9ROS1bIubiMh3\nxpgBwB0ikmaM6QeMF5FdxphzGhqqrNJDVUoVXQ9gw2XLMjL/uytzpkaAxiKyK/P5jmJpmVIeoMGh\nVBEYY3oCfwdqXbo9deatqX8HuDRtpzGmIY654slc/kfxt1Yp99DgUKoIRGQZcFREPso2n0NbEVl/\nWdH2wNribZ1SnqHBoVQRZI4yTly+OJei7cl9rmelyhwNDqWKpj2w1hjTzhgTkPkT3J25lLsGHXEo\nL6HBoVTRHANqACEikoRjFr6YSy8aY1oZY0YBLYF+xpgqJdFIpdxJr+NQyo2MMY+KyLsl3Q6lPElH\nHEq5iTEmEjha0u1QytM0OJRyn67AtyXdCKU8TQ9VKaWUcomOOJRSSrlEg0MppZRLNDiUUkq5RIND\nKaWUSzQ4lFJKuUSDQymllEs0OJRSSrlEg0MppZRL/h9j24PvNbgquAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3d073450>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"t = 99.00\n",
"Wei-Mueller potential\n",
"V1 = 20.00, V2 = 40.00, T = 40.00, p = 3, q = 7\n",
"Chern number: -2\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3d8c6710>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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5tF5IkWRz/cHS7gmMUK+1mpd5q44BzdpKoVqoV1vMA6OSBEsaDk646M4LZUa+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\nCHwmVje4oioAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3d586bd0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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NgKtwpiepEhLlRo7b7LjGGBMs/rQ40kTkN+AA8BOwEFgKnA/Eq+oHqrqdKgwa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\nGGOM8YsFDmOMMX6xwGGMMcYv/x9olWGbUOhrfgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3da8ab90>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"t = 99.00\n",
"Wei-Mueller potential\n",
"V1 = 20.00, V2 = 40.00, T = 40.00, p = 3, q = 7\n",
"Chern number: -2\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3d31c590>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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rV+aBMTQ0HP8cYnIiXJQPN0O1L3rn2afEkGVKgSHh9lf3ubfBZrO1iyvOZms/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\nFBgiItKT/w+lE5t3B2kp5QAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3feb17d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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khXVVGWNMOAV6H0cJ8GnZhogcJSJ/xE06uAjIVdXSsJUyCJ4WXqTUAocxxoRL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\naar6qar6yp7OADpHsjxNQW5ubqSLEDX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"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3d97a490>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"t = 99.00\n",
"Wei-Mueller potential\n",
"V1 = 20.00, V2 = 40.00, T = 40.00, p = 3, q = 7\n",
"Chern number: -2\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3d97a810>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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4iD+J7kTZEJekWWN7Il5jnsTt3Gvd5LjfJMcFz92O3ByG1+i722+l5vU62vnJ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\nXxgYRETUFwYGERH1hYFBRER9+f/ECEpGl3tUMAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3dc192d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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V/YFrgaXAScArwKRYBAeMF5GFIvK0iLQLdyWPB8qwFocxxsRCJJfjniMiz6iq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\njImIJQ5jjDERscRhjDEmIv8Pi2pgzM6tAswAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3d53ec90>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"t = 99.00\n",
"Wei-Mueller potential\n",
"V1 = 20.00, V2 = 40.00, T = 40.00, p = 3, q = 7\n",
"Chern number: -2\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c643d2a90>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3d41a9d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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fpaqjgtOCcAp0d/dSusNaHMYYE2nhJI7+wIMi8rWILBSRu0XkLBHpBfy4LUGo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\nmLD8P633YPg22CJ4AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3d97c190>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"t = 99.00\n",
"Wei-Mueller potential\n",
"V1 = 20.00, V2 = 40.00, T = 40.00, p = 3, q = 7\n",
"Chern number: -2\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3d596150>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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tbp9Ih7ise+HOJsKjb/+tRj2ayE7nNZIeRmWs+9zmUiiLgqAWeixxW2ohRMYm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\nMXy++4Dnu/uLgUeAnwMws+e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"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3db293d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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E1tabN1tEtovIqsA0PpQyE44dzNCEDWzfHmo0xhhjmhPKxfETRGRQYwtEpGcb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\nqS6poqa0iuqSSmpKq6ktr8J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"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3d22df10>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"t = 99.00\n",
"Wei-Mueller potential\n",
"V1 = 20.00, V2 = 40.00, T = 40.00, p = 3, q = 7\n",
"Chern number: -2\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3dc8c490>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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yMTBoMNyQlD+HkQSGUVyw+NwzMLxwEH8S3elmQ1ySZo0NEe9ins1hZGVuRbh/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\nDAwiIiqEgUFERIUwMIiIqJD/D+Dalwg9wABaAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3d18dd50>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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nuIi4gMnAIfiSTjLgBcqBRcDzquoNdZDtUZ2aQ+WmXWRFOhBjjIkRAScOEfkh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\n/wNNsGSj2BrC9QAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3fe1c2d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"t = 99.00\n",
"Wei-Mueller potential\n",
"V1 = 20.00, V2 = 40.00, T = 40.00, p = 3, q = 7\n",
"Chern number: -2\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3d995190>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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cfxqdZsvOdTh3MLWKd121W6aXkJvXSOYw3MBYMOEgtVo26b3cKNw6mwxnjY2N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\nU/XIKxwNBwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3d7ecdd0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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nQnRWMDUDLbYWijHGOK0xz/Jqr6pb952vqosJt1IQkc7AaYQf05KQQul+tNha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\n8f/ZcPqpvFOpVwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3cf6f750>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"t = 99.00\n",
"Wei-Mueller potential\n",
"V1 = 20.00, V2 = 40.00, T = 40.00, p = 3, q = 7\n",
"Chern number: -2\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3d5b5b50>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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RsK+JomwZVHNxse/vwA+M0bExEFUBA4OGQ2PTGEuE9BZaDfUc/DmMbF5DVfsa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\nwsAgIqJCGBhERFTI/wfOoIBYkvLkQQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3d536c10>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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uc4A5UNcd9jMzCwJLgWfdfUviQkyscG4BvkEtFBGRRGvNs7x6uPva7ee7+3yi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\nERGRhFBCERGRhPh/oBoMrpbyf2kAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3d469910>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3d61ff90>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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VnX0OP/64F5b1EKbZtPoNrTW2XUevft2YM3IROQWd9+GFouvZ6RiDUup0rfXr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\nAYARBgBGGACYAMTKWjr17x9kAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3d8aea90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from fractions import gcd\n",
"p = 3\n",
"q = 7\n",
"d = 2*np.pi/gcd(p,q)\n",
"T = 40\n",
"\n",
"cmqs = []\n",
"plt.figure(500)\n",
"for initialx in np.arange(0,d,d/12):\n",
" x, ts, sols = pde.simulatePotential(20,40,p,q,T,Nx=1000,Nt=50000,initialx=initialx)\n",
" plt.figure(500)\n",
" cmqs.append([pde.cmQuantum(u,x)/d for u in sols])\n",
" \n",
"plt.figure()\n",
"plt.xlabel('t/T')\n",
"plt.ylabel('Center of mass/d')\n",
"for cmq in cmqs:\n",
" plt.plot(np.array(ts)/T,cmq)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"t = 99.00\n",
"Wei-Mueller potential\n",
"V1 = 20.00, V2 = 40.00, T = 40.00, p = 3, q = 7\n",
"Chern number: -2\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3d44c090>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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ZnJPoJlcS5YHRXh4uayYn1bgkh7eKE3J+Mu81krI4dNVNy2IQpENS3m1jZrTT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\nMEREZCQKDBERGYkCQ0RERvL/A9yG5AfyYdH6AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7c3d539490>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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KKeUJf04u7wNdjDFbgRuA9wCMMXHGmFMrdsUAC4wxq4ElwBQRmVkZlQkOhjyj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