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TCI quantic for fRG
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Yuriel Núñez Fernández
TCI quantic for fRG
Commits
811405ba
Commit
811405ba
authored
2 years ago
by
Yuriel Núñez Fernández
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add the two notebooks
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792debfc
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compress_Marc_data.ipynb
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compress_Marc_data.ipynb
tci_quantic_fRG.ipynb
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tci_quantic_fRG.ipynb
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compress_Marc_data.ipynb
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811405ba
{
"cells": [
{
"cell_type": "code",
"execution_count": 42,
"id": "f09f3e65-fd73-4a36-8e30-7229dfe11581",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[(101, 81, 2), (101,), (81,)]"
]
},
"execution_count": 42,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"grid_b=np.load('K2t1_frequency_grid_bose.npy')\n",
"grid_f=np.load('K2t1_frequency_grid_fermi.npy')\n",
"K2=np.load('K2t1.npy')\n",
"[K2.shape, grid_b.shape, grid_f.shape]"
]
},
{
"cell_type": "code",
"execution_count": 94,
"id": "6ff81f14-390d-48ef-9069-2e872ef57c51",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f59199b23a0>]"
]
},
"execution_count": 94,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXAAAAD4CAYAAAD1jb0+AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8qNh9FAAAACXBIWXMAAAsTAAALEwEAmpwYAAAW10lEQVR4nO3df4xd5X3n8ffX4xl7xgaPgYGNDdS0jeimZLdEozRdVl02pA1NsiGKqi7ptk27SP5nd5tWUSJopVb7V1gRNc1qV1lZhCbdRmw3BFEUpaUppIq6m7A1cVoSCE3SpAQD9RAYAvaAx57v/nHO9Vxfz/Xcub/Pue+XdHXPOfcy9zk+5uNnvs/z3BOZiSSperaNugGSpO4Y4JJUUQa4JFWUAS5JFWWAS1JFbR/mh11yySV54MCBYX6kJFXeI4888lxmLrQeH2qAHzhwgMOHDw/zIyWp8iLiHzY6bglFkirKAJekijLAJamiDHBJqigDXJIqaqizUCQJ4L4jR7njgSd4enmFffOzfOCtV/Oua/ePulmVY4BLGqr7jhzltnsfZWX1NABHl1e47d5HAQzxLbKEImmo7njgiTPh3bCyepo7HnhiRC2qLgNc0lA9vbyypeNqzwCXNFT75me3dFztGeCShuoDb72a2emps47NTk/xgbdePaIWVZeDmJKGonnmyZ7ZaXZOb2P5xKqzUHpggEsauNaZJ8srq8xOT/GRf/sTBncPLKFIGjhnngyGAS5p4Jx5MhgGuKSBc+bJYBjgkgbOmSeD4SCmpIFx5slgbRrgEXEX8A7gWGZe0/La+4EPAwuZ+dxgmiipipx5MnidlFA+AdzYejAirgB+Fniyz22SVAPOPBm8TQM8M78IPL/BSx8BPghkvxslqfqceTJ4XQ1iRsRNwNHM/JsO3nswIg5HxOGlpaVuPk5SBTnzZPC2HOARMQf8FvA7nbw/Mw9l5mJmLi4sLGz14yRVzH1HjnLd7Q9xdHmFaHnNmSf91c0slB8BrgL+JiIALge+EhFvzMxn+9k4SdXSOnCZQJTP+5150ndbDvDMfBS4tLEfEd8FFp2FImmjgctGeP+fW988mkbV2KYllIi4G/gScHVEPBURtwy+WZKqyIHL4dq0B56Z79nk9QN9a42kSts3P8vRDcLagcvBcCm9pL5xyfxwuZReUs9cMj8aBriknrhkfnQsoUjqiUvmR8cAl9QTZ56MjgEuqScumR8da+CSutIYuGwsmW/+VjtnngyHAS5py1wyPx4McElb5pL58WANXNKWOXA5HgxwSVvmwOV4sIQiqWMOXI4XA1xSRxy4HD8GuKSOOHA5fqyBS+qIA5fjxwCX1BEHLsePAS6pI37X9/ixBi7pvPyu7/G1aYBHxF3AO4BjmXlNeewO4N8AJ4FvA7+WmcsDbKekEfC7vsdbJyWUTwA3thz7PHBNZv4z4O+A2/rcLkljwO/6Hm+bBnhmfhF4vuXYn2fmqXL3y8DlA2ibpBFz5sl468cg5r8H/rTdixFxMCIOR8ThpaWlPnycpGFx5sl46ynAI+K3gVPAp9q9JzMPZeZiZi4uLCz08nGShuS+I0e57vaHziyZb+bMk/HR9SyUiPhVisHNGzIzN3m7pIpwyXx1dBXgEXEj8EHgX2Xmif42SdIouWS+OjYtoUTE3cCXgKsj4qmIuAX4b8AFwOcj4qsR8T8G3E5JQ+LAZXVs2gPPzPdscPjjA2iLpDGwb36WoxuEtQOX48eVmJLOWW05PRWsnl4f2nLgcjwZ4NKE22i15fS2YO/ctEvmx5wBLk24jQYtV9eSuZntHPmdnx1Rq9QJv41QmnAOWlaXAS5NOFdbVpclFGlCeYPi6jPApQnkast6MMClCeRqy3qwBi5NIAcu68EAlyaQA5f1YAlFmiAOXNaLAS5NCAcu68cAlyaEA5f1Yw1cmhAOXNaPAS5NCAcu68cSilRzDlzWlwEu1ZgDl/W2aYBHxF0UNy8+lpnXlMcuAv4YOAB8F/iFzHxhcM2U1A0HLuutkxr4J4AbW47dCjyYma8FHiz3JY0ZBy7rbdMAz8wvAs+3HL4J+GS5/UngXf1tlqR+cOCy3rqdhXJZZj5Tbj8LXNbujRFxMCIOR8ThpaWlLj9O0lbcd+Qo193+0JmBy2YOXNZHz9MIMzM5e2C79fVDmbmYmYsLCwu9fpykTTQGLht3lm8MXEJR+/7Qu1/vwGVNdDsL5R8j4jWZ+UxEvAY41s9GSeqeA5eTo9se+P3Ae8vt9wJ/0p/mSOqVA5eTY9MAj4i7gS8BV0fEUxFxC3A78DMR8U3gLeW+pDHgwOXk2LSEkpnvafPSDX1ui6QeuOJy8rgSU6oBV1xOJgNcqgEHLieT30Yo1YADl5PJHrhUYY26d7uFGA5c1psBLlVUa927lQOX9WeASxW1Ud27wYHLyWCASxXVrr4d4MDlhHAQU6ooF+zIHrhUMS7YUYMBLlWIC3bUzACXKsQFO2pmDVyqEBfsqJk9cKkCXLCjjRjg0phzwY7aMcClMeeCHbVjgEtjzgU7asdBTGnMuWBH7fQU4BHxmxHx9Yj4WkTcHRE7+9UwadLdd+Qo193+0JkFO82sewt6CPCI2A/8OrCYmdcAU8DN/WqYNMkaA5dHy/JJY8EOFHXvD7379da91XMNfDswGxGrwBzwdO9NkuSCHXWi6x54Zh4FPgw8CTwDvJiZf976vog4GBGHI+Lw0tJS9y2VJogLdtSJXkooe4GbgKuAfcCuiPil1vdl5qHMXMzMxYWFhe5bKk2ARt3bBTvqRC+DmG8BvpOZS5m5CtwL/Iv+NEuaPK1171YOXKpVLzXwJ4E3RcQcsALcABzuS6ukCeSCHW1V1wGemQ9HxD3AV4BTwBHgUL8aJk0aF+xoq3qahZKZvwv8bp/aIk20ffOzG5ZPrHurHZfSSyPmHXbULQNcGiHvsKNeGODSCLlgR73wy6ykEXLBjnphD1waAe+wo34wwKUh8w476hcDXBoyF+yoXwxwachcsKN+McClIWjUvJ9eXmFbBKfz3Oq3dW9tlQEuDVhrzXuj8LburW4Y4NKAtat5T0Wwlsk+697qkgEuDVi7mvdaJt+5/e1Dbo3qxACXBsS53ho0A1waAOd6axgMcGkAnOutYTDApQFwrreGwQCX+si6t4bJAJf6xLq3hq2nr5ONiPmIuCcivhERj0fET/WrYVLVbFb3/tC7X2/dW33Vaw/8o8CfZebPR8QMMNeHNkmVZN1bw9Z1gEfEHuCngV8FyMyTwMn+NEuqDuveGpVeSihXAUvAH0TEkYi4MyJ2tb4pIg5GxOGIOLy0tNTDx0njp1H33uhu8mDdW4PVS4BvB94AfCwzrwWOA7e2vikzD2XmYmYuLiws9PBx0vix7q1R6qUG/hTwVGY+XO7fwwYBLtWZdW+NUtc98Mx8FvheRDR+P7wBeKwvrZLG3H1HjnLd7Q9Z99ZI9ToL5T8BnypnoPw98Gu9N0kab8731rjoKcAz86vAYn+aIlWD33OiceFKTKlDjemC7WacWPfWsBngUgc2K5uAdW8NX09L6aVJcb6yCVj31mjYA5c60G66IFj31ugY4NJ5bLZMfv/8rHVvjYwBLrXhdEGNOwNcasPpghp3BrjUhsvkNe4McKmFXw+rqjDApSbWvVUlBrjUxLq3qsQAl3CZvKrJANfEc5m8qsql9Jp4LpNXVdkD18TarGwC1r013gxwTaROyiYuk9e4s4SiiWTZRHXQc4BHxFREHImIz/ajQdIwbPbtgt5NXlXQjxLK+4DHgQv78LOkgfLbBVUnPfXAI+Jy4O3Anf1pjjQ4jbp3u0FLyyaqml5LKL8PfBBYa/eGiDgYEYcj4vDS0lKPHyd1b7NVlpZNVDVdl1Ai4h3Ascx8JCKub/e+zDwEHAJYXFxs95urNDCuslRd9VIDvw54Z0S8DdgJXBgRf5SZv9Sfpkm9c5Wl6qzrEkpm3paZl2fmAeBm4CHDW+PG6YKqMxfyqJZcZalJ0JcAz8y/BP6yHz9L6pWrLDUpXImp2rFsoklhCUW1YdlEk8YAVy1YNtEksoSiWrBsoklkD1yV1SiZPL280va7TcCyierLAFcldVIyAcsmqjdLKKqkzUomYNlE9WcPXJXSyUyToFgeb9lEdWeAqzKcaSKdzRKKKsOZJtLZ7IFr7LlAR9qYAa6xZtlEas8A11jqpNcNlk002QxwjZ2tzPG2bKJJZoBr7HQyx9uyiWSAa4xYNpG2xgDXWLBsIm1dL3elvwL4Q+AyIIFDmfnRfjVMk2Erve4Pvfv1BrfUpJce+Cng/Zn5lYi4AHgkIj6fmY/1qW2qOXvdUm+6DvDMfAZ4ptx+KSIeB/YDBrjOq9NeNzhYKZ1PX2rgEXEAuBZ4uB8/T/XVaa8bHKyUNtNzgEfEbuAzwG9k5g82eP0gcBDgyiuv7PXjVHGdTBEEyyZSJ3oK8IiYpgjvT2XmvRu9JzMPAYcAFhcXz3fjFNWYg5VS//UyCyWAjwOPZ+bv9a9JqhsHK6XB6KUHfh3wy8CjEfHV8thvZebnem6VasFetzRYvcxC+SuKm59I57DXLQ2eKzHVV04RlIbHAFffOEVQGi4DXD3bSq8bLJtI/WKAqyvNoR0UX4azGQcrpf4ywLVlraWSTsLbXrfUfwa4OrbVUgnY65YGyQBXW43Afnp5hT2z0xw/eYrV050vprXXrYm1dhqOPwfHj8HLx+D4Evzw9XDBP+nrxxjg2lBrmWR5ZbXj/9Zet2pp9ZUiiI8fK8K5EczHl87dPvF9ziku/uL/NsA1WN2USYAzA5n2ulUZa6dh5YUyeJ9bD+ZGELduv3rOd/UVZnbDroXisfcquOKNsOtS2H1pcWz3pcX+nsv7fgoGuLqaUdLM0NZYWFuDV5bXg/fEc+X2c+X20tn7J74PuXbuz4ltMHdxEb5zF8O+a8uAvqQI4kZY714o9mfmhn6qDQb4hGoX2lsJb0slGqjTq0XInvh+GbrN28+tb5/Zfx6yzSKynXtg7pKiN3zxj8CVP9kUxhevh/KuBZjdC9umhnuuXTLAJ0ivoT29Ldi9czvLJ1bZZ69bW7G2Bq++WIRsI4jPCuTW48/BKy+2/3mze4tA3nVJEchXvHG9lzx3yXooz11S9KK3zwzvXIfIAK+J1hkjEbB8YvXM9gsnVrvuaYNlEjVZOw0ry7DyfBG8K43wbdluhHLjfe16x1Mz60G762KYv6LYbgRxY3vu4vXHlNEFBvjY2iyQzxfOzTNGmre7uZuGZZIay4RXXyoG8s48GqFc7p/ZbgrrlWXa/m3atr0I2NmLiueFq8vQvagM4YvODuK5i4pBwPCLTbthgA9IJwG8b36Wf/1jC3zhG0tnva/TQO41nNtxRknFrJ0uyg0rL5Q94zJ8X1luCecNHmun2v/cmd1lEO8tnuevLPcvanneux7aOy4wjIfIAO/QIHrER5dX+KMvP7nha8O+95yhPWKnThaB+8qLZRgvl/vL69vnPL9YPLeb3tYwc0FRM57dU4Tspa+D2flie3ZvWU9u2m4cr2nduE4mNsAHEcijDOBuGNp9kgknjxdB+soP1p8b4frKi+V+Gc6NYyvL68dObTLvfvtO2DlfBO/OebhwP1z642UQ7y1f27v+eiOMd+4xiGussgFe5RLFKBnaTTJh9URRB3715SJYX30JTr5cHnupKZSb9l99qTz24vpr7QboGrZtL8J0x4VlyO6B3Zetb+/cUwTvznK/9fj0zkH/aaiCer0r/Y3AR4Ep4M7MvL0vrWqyUVBXsUQxDI0/k/nz/INW2dDOhNMni57u6oni+azHyy3bLxeh3Px81rEyqDdayNFq2zTsvLAI3x0XFM/zV8COHy/2G6+deZ4vthuBvfNCmJ6zNqy+6+Wu9FPAfwd+BngK+OuIuD8zH+tX4873fRx1DOBWmwXySMN5bQ3WVuHUq0WwnnoVTr9a1HJPvVLsn1opnldXymOvFN8nsXqi3F4pX1tZ3149ASdPFM/N2yePb97LbTa1A2Z2wY7dRQ14ZlcRqBfuL0P4gmKQbsfu9VCe2V2E7UzTsZ0XwvYdg/tzlHrQSw/8jcC3MvPvASLifwE3AX0L8DseeIKV1dO8b+ozvHPq//brxw5NI4CnthX7a2uwrWl7+1QwOzPFysnTnDqd57y2d26GC3Y2XaK9nH/7r8pHP2QWMxRyrXg+vVo81laLwD7f7IVOTe0oliFPzxU13sb29GyxIGN6rjy2a/21md0t2+VrjZCeKY9PTffePmnM9RLg+4HvNe0/Bfxk65si4iBwEODKK6/c0gc8XX6h0tNczNfzQJfN7L/pqW0EcPL0Wtvt2ekp/ulrLuTyvbMjbm0Ptm0vHrGtCMSpmWJ/aqZ8TBe906kdxfb0bHF8+44ikBuP6ebt2fXtxr9Ykroy8EHMzDwEHAJYXFzcUuVj3/wsR5dX+PTp6/n06ev73raxLlFI0iZ6CfCjwBVN+5eXx/rmA2+9+rx3Oe9k0G6jWSgGsqQ66CXA/xp4bURcRRHcNwO/2JdWlRrhutF0QQNY0qTrOsAz81RE/EfgAYpphHdl5tf71rLSu67db0hL0gZ6qoFn5ueAz/WpLZKkLXAagCRVlAEuSRVlgEtSRRngklRRkTm8bxWJiCXgH7r8zy8Bnutjc6piEs97Es8ZJvO8J/GcYevn/UOZudB6cKgB3ouIOJyZi6Nux7BN4nlP4jnDZJ73JJ4z9O+8LaFIUkUZ4JJUUVUK8EOjbsCITOJ5T+I5w2Se9ySeM/TpvCtTA5ckna1KPXBJUhMDXJIqqhIBHhE3RsQTEfGtiLh11O0ZhIi4IiK+EBGPRcTXI+J95fGLIuLzEfHN8nnvZj+raiJiKiKORMRny/2rIuLh8nr/cUTMjLqN/RYR8xFxT0R8IyIej4ifqvu1jojfLP9ufy0i7o6InXW81hFxV0Qci4ivNR3b8NpG4b+W5/+3EfGGrXzW2Ad4082Tfw54HfCeiHjdaFs1EKeA92fm64A3Af+hPM9bgQcz87XAg+V+3bwPeLxp/78AH8nMHwVeAG4ZSasG66PAn2XmjwH/nOL8a3utI2I/8OvAYmZeQ/EV1DdTz2v9CeDGlmPtru3PAa8tHweBj23lg8Y+wGm6eXJmngQaN0+ulcx8JjO/Um6/RPE/9H6Kc/1k+bZPAu8aSQMHJCIuB94O3FnuB/Bm4J7yLXU85z3ATwMfB8jMk5m5TM2vNcXXV89GxHZgDniGGl7rzPwi8HzL4XbX9ibgD7PwZWA+Il7T6WdVIcA3unlyre/wEBEHgGuBh4HLMvOZ8qVngctG1a4B+X3gg8BauX8xsJyZjdve1/F6XwUsAX9Qlo7ujIhd1PhaZ+ZR4MPAkxTB/SLwCPW/1g3trm1P+VaFAJ8oEbEb+AzwG5n5g+bXspjzWZt5nxHxDuBYZj4y6rYM2XbgDcDHMvNa4Dgt5ZIaXuu9FL3Nq4B9wC7OLTNMhH5e2yoE+MBvnjwuImKaIrw/lZn3lof/sfErVfl8bFTtG4DrgHdGxHcpSmNvpqgNz5e/ZkM9r/dTwFOZ+XC5fw9FoNf5Wr8F+E5mLmXmKnAvxfWv+7VuaHdte8q3KgT4mZsnlyPUNwP3j7hNfVfWfj8OPJ6Zv9f00v3Ae8vt9wJ/Muy2DUpm3paZl2fmAYrr+lBm/jvgC8DPl2+r1TkDZOazwPci4ury0A3AY9T4WlOUTt4UEXPl3/XGOdf6Wjdpd23vB36lnI3yJuDFplLL5jJz7B/A24C/A74N/Pao2zOgc/yXFL9W/S3w1fLxNoqa8IPAN4G/AC4adVsHdP7XA58tt38Y+H/At4BPAztG3b4BnO9PAIfL630fsLfu1xr4z8A3gK8B/xPYUcdrDdxNUedfpfht65Z21xYIill23wYepZil0/FnuZRekiqqCiUUSdIGDHBJqigDXJIqygCXpIoywCWpogxwSaooA1ySKur/A9RzrKz9SQssAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(grid_f,'o')\n",
"plt.plot(np.diff(grid_b))"
]
},
{
"cell_type": "code",
"execution_count": 88,
"id": "c9762dc6-40f3-4214-9f7f-faa1a5470961",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(1e-07, 0.5196395541063292)"
]
},
"execution_count": 88,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"for site in [0,1]:\n",
" (u,s,vh)=np.linalg.svd(K2[:,:,site])\n",
" sum=np.sum(s);\n",
" plt.plot(1-np.cumsum(s)/sum, label=f'site {site}')\n",
"plt.xlabel('rank')\n",
"plt.ylabel('relative truncation error')\n",
"plt.yscale('log')\n",
"plt.legend();\n",
"plt.ylim(1e-7)"
]
},
{
"cell_type": "code",
"execution_count": 90,
"id": "3cb08aaa-eb9d-4f9f-a663-feff6bb35495",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(31, 61, 61, 2)"
]
},
"execution_count": 90,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"name='K3a0'\n",
"K3data=np.load(f'{name}.npy')\n",
"K3data.shape"
]
},
{
"cell_type": "code",
"execution_count": 92,
"id": "dd68b40b-e959-44aa-a965-868b9debc9d3",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 400x400 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 400x400 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"for K3 in [K3data,K3data.transpose([1,0,2,3])]:\n",
" fig, ax = plt.subplots()\n",
" fig.set_size_inches(4,4)\n",
" fig.set_dpi(100)\n",
" ax.set_title(f\"{name} tensor {K3.shape}\")\n",
" ax.set_xlabel('rank')\n",
" ax.set_ylabel('relative truncation error')\n",
" ax.set_yscale('log')\n",
" for shape in [(K3.shape[0],-1), (-1,K3.shape[2])]:\n",
" for site in [0,1]:\n",
" K3m=K3[:,:,:,site].reshape(shape)\n",
" (u,s,vh)=np.linalg.svd(K3m)\n",
" sum=np.sum(s);\n",
" ax.plot(1-np.cumsum(s)/sum, label=f'site {site}, {K3m.shape}')\n",
" ax.legend()\n",
" ax.set_ylim(1e-7)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "34c29218-7406-447e-8ae8-545784f117fa",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.5"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
%% Cell type:code id:f09f3e65-fd73-4a36-8e30-7229dfe11581 tags:
```
python
import
numpy
as
np
import
matplotlib.pyplot
as
plt
grid_b
=
np
.
load
(
'
K2t1_frequency_grid_bose.npy
'
)
grid_f
=
np
.
load
(
'
K2t1_frequency_grid_fermi.npy
'
)
K2
=
np
.
load
(
'
K2t1.npy
'
)
[
K2
.
shape
,
grid_b
.
shape
,
grid_f
.
shape
]
```
%% Output
[(101, 81, 2), (101,), (81,)]
%% Cell type:code id:6ff81f14-390d-48ef-9069-2e872ef57c51 tags:
```
python
plt
.
plot
(
grid_f
,
'
o
'
)
plt
.
plot
(
np
.
diff
(
grid_b
))
```
%% Output
[<matplotlib.lines.Line2D at 0x7f59199b23a0>]
%% Cell type:code id:c9762dc6-40f3-4214-9f7f-faa1a5470961 tags:
```
python
for
site
in
[
0
,
1
]:
(
u
,
s
,
vh
)
=
np
.
linalg
.
svd
(
K2
[:,:,
site
])
sum
=
np
.
sum
(
s
);
plt
.
plot
(
1
-
np
.
cumsum
(
s
)
/
sum
,
label
=
f
'
site
{
site
}
'
)
plt
.
xlabel
(
'
rank
'
)
plt
.
ylabel
(
'
relative truncation error
'
)
plt
.
yscale
(
'
log
'
)
plt
.
legend
();
plt
.
ylim
(
1e-7
)
```
%% Output
(1e-07, 0.5196395541063292)
%% Cell type:code id:3cb08aaa-eb9d-4f9f-a663-feff6bb35495 tags:
```
python
name
=
'
K3a0
'
K3data
=
np
.
load
(
f
'
{
name
}
.npy
'
)
K3data
.
shape
```
%% Output
(31, 61, 61, 2)
%% Cell type:code id:dd68b40b-e959-44aa-a965-868b9debc9d3 tags:
```
python
for
K3
in
[
K3data
,
K3data
.
transpose
([
1
,
0
,
2
,
3
])]:
fig
,
ax
=
plt
.
subplots
()
fig
.
set_size_inches
(
4
,
4
)
fig
.
set_dpi
(
100
)
ax
.
set_title
(
f
"
{
name
}
tensor
{
K3
.
shape
}
"
)
ax
.
set_xlabel
(
'
rank
'
)
ax
.
set_ylabel
(
'
relative truncation error
'
)
ax
.
set_yscale
(
'
log
'
)
for
shape
in
[(
K3
.
shape
[
0
],
-
1
),
(
-
1
,
K3
.
shape
[
2
])]:
for
site
in
[
0
,
1
]:
K3m
=
K3
[:,:,:,
site
].
reshape
(
shape
)
(
u
,
s
,
vh
)
=
np
.
linalg
.
svd
(
K3m
)
sum
=
np
.
sum
(
s
);
ax
.
plot
(
1
-
np
.
cumsum
(
s
)
/
sum
,
label
=
f
'
site
{
site
}
,
{
K3m
.
shape
}
'
)
ax
.
legend
()
ax
.
set_ylim
(
1e-7
)
```
%% Output
%% Cell type:code id:34c29218-7406-447e-8ae8-545784f117fa tags:
```
python
```
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