{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# MQDT Calculations for Ytterbium" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The PairInteraction software supports atomic species with two valence electrons such as Yb171 and Yb174, using multi-channel quantum defect theory (MQDT). In the following, we reproduce findings of the publication [M. Peper et al., *Spectroscopy and modeling of 171Yb Rydberg states for high-fidelity two-qubit gates\"*, 2024](https://arxiv.org/abs/2406.01482). In this publication, the authors carefully benchmarked their results against experimental data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Zeeman Map for Yb174\n", "\n", "We calculate the Zeeman map for Yb174 that is shown in Fig. 13 of the publication. The Zeeman map takes into account diamagnetism." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%pip install -q matplotlib numpy pairinteraction\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pairinteraction.real as pi\n", "\n", "if pi.Database.get_global_database() is None:\n", " pi.Database.initialize_global_database(download_missing=True)\n", "\n", "# Get the state of interest\n", "ket = pi.KetAtom(\"Yb174_mqdt\", nu=50, s=1, l=1, j=1, m=0)\n", "energy_in_ghz = ket.get_energy(unit=\"GHz\")\n", "\n", "# Construct a basis around the state\n", "basis = pi.BasisAtom(\"Yb174_mqdt\", nu=(ket.nu - 3, ket.nu + 3), j=(0, 2))\n", "\n", "# Construct and diagonalize systems for different magnetic fields\n", "list_bfield_in_gauss = np.linspace(0, 1650, 100)\n", "list_system = [\n", " pi.SystemAtom(basis).set_magnetic_field([0, 0, b], unit=\"G\").set_diamagnetism_enabled(True)\n", " for b in list_bfield_in_gauss\n", "]\n", "pi.diagonalize(list_system, diagonalizer=\"lapacke_evd\", float_type=\"float32\")\n", "\n", "# Get eigenenergies and overlaps\n", "list_eigenenergies = np.array([system.get_eigenenergies(unit=\"GHz\") for system in list_system])\n", "list_overlap = np.array([system.get_eigenbasis().get_overlaps(ket) for system in list_system])\n", "\n", "# Plot the Zeeman map\n", "fig = plt.figure(figsize=(6, 5))\n", "ax = fig.add_subplot(111)\n", "ax.set_title(ket.get_label(\"ket\"))\n", "scat = ax.scatter(\n", " np.repeat(list_bfield_in_gauss, list_eigenenergies.shape[1]) ** 2,\n", " list_eigenenergies - energy_in_ghz,\n", " c=list_overlap,\n", " s=10,\n", " vmin=0,\n", " vmax=1,\n", ")\n", "fig.colorbar(scat, label=\"Overlap\")\n", "ax.set_xlim(0, list_bfield_in_gauss[-1] ** 2)\n", "ax.set_ylim(-2.4, 7.4)\n", "ax.set_xlabel(r\"Squared Magnetic Field (G$^2$)\")\n", "ax.set_ylabel(\"Energy (GHz)\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Pair Potentials for Yb171\n", "\n", "We calculate the pair potentials for Yb171 that are displayed in Fig. 7a of the publication. The pair potentials are calculated for a magnetic field pointing along the z-axis and the interatomic axis pointing along the x-axis. Because this arrangement breaks rotational symmetry, the total magnetic quantum number is not conserved and two-atom Hilbert space is rather large. To keep the execution time down, we only calculate the pair potentials for a few interatomic distances." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Single atom basis size: 260\n", "Pair basis size: 3392\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%pip install -q matplotlib numpy pairinteraction\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pairinteraction.real as pi\n", "\n", "if pi.Database.get_global_database() is None:\n", " pi.Database.initialize_global_database(download_missing=True)\n", "\n", "# Get the state of interest\n", "ket = pi.KetAtom(\"Yb171_mqdt\", nu=54.56, l=0, f=3 / 2, m=3 / 2)\n", "\n", "# Construct a basis around the state\n", "basis = pi.BasisAtom(\"Yb171_mqdt\", nu=(ket.nu - 2, ket.nu + 2), f=(0.5, 2.5), l=(0, 2))\n", "print(f\"Single atom basis size: {basis.number_of_states}\", flush=True)\n", "\n", "# Construct and diagonalize a system for a single atom\n", "system = (\n", " pi.SystemAtom(basis)\n", " .set_magnetic_field([0, 0, 5.03], unit=\"G\")\n", " .set_diamagnetism_enabled(True)\n", " .diagonalize(diagonalizer=\"lapacke_evr\", float_type=\"float32\")\n", ")\n", "pair_energy_shifted = 2 * system.get_corresponding_energy(ket, unit=\"MHz\")\n", "\n", "# Construct a basis for a pair of atoms\n", "basis_pair = pi.BasisPair(\n", " [system, system],\n", " energy=(pair_energy_shifted - 3.5e3, pair_energy_shifted + 3.5e3),\n", " energy_unit=\"MHz\",\n", ")\n", "print(f\"Pair basis size: {basis_pair.number_of_states}\", flush=True)\n", "\n", "# Construct and diagonalize systems for different interatomic distances\n", "list_distances = np.linspace(2, 10, 30)\n", "list_system = [\n", " pi.SystemPair(basis_pair).set_distance_vector([d, 0, 0], unit=\"um\") for d in list_distances\n", "]\n", "pi.diagonalize(\n", " list_system,\n", " diagonalizer=\"lapacke_evr\",\n", " float_type=\"float32\",\n", " energy_range=(pair_energy_shifted - 20, pair_energy_shifted + 20),\n", " energy_range_unit=\"MHz\",\n", " rtol=1e-6,\n", ")\n", "\n", "# Get eigenenergies and overlaps\n", "list_eigenenergies = [system.get_eigenenergies(unit=\"MHz\") for system in list_system]\n", "list_overlap = [system.get_eigenbasis().get_overlaps([ket, ket]) for system in list_system]\n", "list_distances = [d * np.ones_like(e) for d, e in zip(list_distances, list_eigenenergies)]\n", "\n", "# Plot the pair potential\n", "list_eigenenergies = np.hstack(list_eigenenergies)\n", "list_overlap = np.hstack(list_overlap)\n", "list_distances = np.hstack(list_distances)\n", "sorter = np.argsort(list_overlap)\n", "\n", "fig = plt.figure(figsize=(6, 5))\n", "ax = fig.add_subplot(111)\n", "ax.set_title(ket.get_label(\"ket\"))\n", "scat = ax.scatter(\n", " list_distances[sorter],\n", " list_eigenenergies[sorter] - pair_energy_shifted,\n", " c=list_overlap[sorter],\n", " s=20,\n", " vmin=1e-3,\n", " vmax=1,\n", " norm=\"log\",\n", " cmap=\"magma_r\",\n", ")\n", "fig.colorbar(scat, label=\"Overlap\")\n", "ax.set_xlim(2, 10)\n", "ax.set_ylim(-20, 20)\n", "ax.set_xlabel(r\"Interatomic Distance ($\\mu$m)\")\n", "ax.set_ylabel(\"Energy (MHz)\")\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 }