{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "b780b7af-aee0-4d92-b830-64e9b9d3c2f7", "metadata": {}, "outputs": [], "source": [ "%matplotlib ipympl\n", "import numpy as np\n", "from numba import jit, vectorize, float64, types, int64\n", "import matplotlib.pyplot as plt\n", "from tqdm.notebook import trange, tqdm" ] }, { "cell_type": "code", "execution_count": 2, "id": "6fbf192f-aebc-4bce-ae38-339b5610fad1", "metadata": {}, "outputs": [], "source": [ "# Coupling formula\n", "alpha = 1\n", "\n", "# Lattive parameters:\n", "lattice_x = np.array([1, 0, 0])\n", "lattice_y = np.array([0, 1, 0])\n", "lattice_z = np.array([0, 0, 1])\n", "\n", "lattice_s = np.array([\n", " [0,0,0],\n", " [0.2,0,0]\n", "])\n", "\n", "site_nb = lattice_s.shape[0]\n", "\n", "\n", "@vectorize([float64(int64, int64, int64, int64, int64)])\n", "def compute_coupling(x, y, z, a, b):\n", " vec = x*lattice_x + y*lattice_y + z*lattice_z + lattice_s[a] - lattice_s[b]\n", " norm = np.linalg.norm(vec)\n", " return alpha/norm**3*np.abs(3*vec[2]**2/norm**2 - 1)\n" ] }, { "cell_type": "markdown", "id": "8719ddbb-3348-48d2-b949-3221ca298b09", "metadata": {}, "source": [ "# State generation" ] }, { "cell_type": "code", "execution_count": 3, "id": "062e190f-1561-4f9f-8ffc-aca8e43db8f4", "metadata": {}, "outputs": [], "source": [ "def generate_lattice_sites(n, cell_number = 5):\n", " # TODO: Improve using random picking\n", " r = np.unique(np.random.randint([[cell_number, cell_number, cell_number, len(lattice_s)]], size=(n, 4)), axis = 0)\n", " np.random.shuffle(r)\n", " return r\n", "\n", "def add_noise(couplings, sigma):\n", " return np.max(0, couplings + np.random.normal(scale = sigma, size = couplings.shape))\n", "\n", "@jit\n", "def couplings(sites):\n", " n = sites.shape[0]\n", " couplings = np.full((n , n), np.nan)\n", " for i in range(sites.shape[0]-1):\n", " for j in range(i+1, sites.shape[0]):\n", " x = sites[i][0] - sites[j][0]\n", " y = sites[i][1] - sites[j][1]\n", " z = sites[i][2] - sites[j][2]\n", " couplings[i, j] = compute_coupling(x, y, z, sites[i][3], sites[j][3])\n", " return couplings" ] }, { "cell_type": "code", "execution_count": 4, "id": "3d1d36c3-1fc4-42e4-af71-8eda4fb34d86", "metadata": {}, "outputs": [], "source": [ "test_sites = generate_lattice_sites(25, cell_number=5)" ] }, { "cell_type": "code", "execution_count": 5, "id": "ae4ecda6-14db-4e50-bfd2-affcd6153630", "metadata": {}, "outputs": [], "source": [ "test_couplings = couplings(test_sites)" ] }, { "cell_type": "code", "execution_count": 6, "id": "35313d97-d4d6-4435-b648-bb4e30c306fe", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "4ff187e4309849bab70fe6a501f6ba52", "version_major": 2, "version_minor": 0 }, "image/png": 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", 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