{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Pair Potentials" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%pip install matplotlib numpy pairinteraction\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pairinteraction.real as pi\n", "from pairinteraction.visualization.colormaps import alphamagma" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "if pi.Database.get_global_database() is None:\n", " pi.Database.initialize_global_database(download_missing=True)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of single-atom basis states: 288\n", "Number of two-atom basis states: 547\n" ] } ], "source": [ "ket = pi.KetAtom(\"Rb\", n=60, l=0, m=0.5)\n", "basis = pi.BasisAtom(\"Rb\", n=(56, 64), l=(0, 3))\n", "print(f\"Number of single-atom basis states: {basis.number_of_states}\")\n", "system = pi.SystemAtom(basis)\n", "\n", "pair_energy = 2 * ket.get_energy(unit=\"GHz\")\n", "min_energy, max_energy = pair_energy - 10, pair_energy + 10\n", "\n", "pair_basis = pi.BasisPair(\n", " [system, system], energy=(min_energy, max_energy), energy_unit=\"GHz\", m=(1, 1)\n", ")\n", "print(f\"Number of two-atom basis states: {pair_basis.number_of_states}\")\n", "\n", "distances = np.linspace(1, 4, 100)\n", "pair_systems = [\n", " pi.SystemPair(pair_basis).set_distance(d, unit=\"micrometer\") for d in distances\n", "]\n", "\n", "# Diagonalize the systems in parallel\n", "pi.diagonalize(pair_systems, diagonalizer=\"eigen\", sort_by_energy=True)\n", "\n", "eigenenergies = [system.get_eigenenergies(unit=\"GHz\") - pair_energy for system in pair_systems]\n", "overlaps = [system.get_eigenbasis().get_overlaps([ket, ket]) for system in pair_systems]" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.set_xlabel(r\"Distance [$\\mu$m]\")\n", "ax.set_ylabel(\"Energy [GHz]\")\n", "\n", "try:\n", " ax.plot(distances, np.array(eigenenergies), c=\"0.9\", lw=0.25, zorder=-10)\n", "except ValueError: # inhomogeneous shape -> no simple line plot possible\n", " for x, es in zip(distances, eigenenergies):\n", " ax.plot([x] * len(es), es, c=\"0.9\", ls=\"None\", marker=\".\", zorder=-10)\n", "\n", "x_repeated = np.hstack([val * np.ones_like(es) for val, es in zip(distances, eigenenergies)])\n", "energies_flattend = np.hstack(eigenenergies)\n", "overlaps_flattend = np.hstack(overlaps)\n", "sorter = np.argsort(overlaps_flattend)\n", "\n", "scat = ax.scatter(\n", " x_repeated[sorter],\n", " energies_flattend[sorter],\n", " c=overlaps_flattend[sorter],\n", " s=15,\n", " vmin=0,\n", " vmax=1,\n", " cmap=alphamagma,\n", ")\n", "\n", "fig.colorbar(scat, ax=ax, label=\"Overlap with state of interest\")\n", "\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "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": "3.13.1" } }, "nbformat": 4, "nbformat_minor": 2 }