{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Pair Potentials Under External Fields" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Experimental parameters have to be chosen carefully to maintain the Rydberg blockade as discussed in S. de Léséleuc, S. Weber, V. Lienhard, D. Barredo, H.P. Büchler, T. Lahaye, A. Browaeys, “Accurate mapping of multilevel Rydberg atoms on interacting spin-1/2 particles for the quantum simulation of Ising models”, [Phys. Rev. Lett. 120, 113602 (2018)](http://doi.org/10.1103/PhysRevLett.120.113602). Here we reproduce the result shown in Fig. 2c,d that the Rydberg blockade of $nD$-states can be broken by suprisingly small electric fields, i.e. by fields which cause only a tiny single-atom Stark shift. The parameter dependence of the electric field sensitivity can be studied by rerunning the Jupyter notebook for different interaction angles, external magnetic fields, or principal quantum numbers." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%pip install matplotlib numpy pairinteraction\n", "\n", "from collections.abc import Iterable\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\n", "\n", "if pi.Database.get_global_database() is None:\n", " pi.Database.initialize_global_database(download_missing=True)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We use pairinteraction's `KetAtom` class to define the single-atom state $\\left|61d_{3/2},m_j=3/2\\right\\rangle$ of a Rubidium atom." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "ket = pi.KetAtom(\"Rb\", n=61, l=2, j=1.5, m=1.5)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Next, we define how to set up the single atom system.\n", "We do this using a function, so we can easily create systems with the electric and magnetic field as parameters (only $z$-direction).\n", "\n", "To limit the size of the basis, we have to choose cutoffs on states which couple to the above specified `ket`.\n", "This is done by passing tuples of `(min, max)` values for the quantum numbers and energy to the basis constructor.\n", "\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def get_system_atom(ez: float, bz: float) -> pi.SystemAtom:\n", " basis = pi.BasisAtom(\n", " ket.species,\n", " n=(ket.n - 2, ket.n + 2),\n", " l=(ket.l - 2, ket.l + 2),\n", " energy=(ket.get_energy(unit=\"GHz\") - 30, ket.get_energy(unit=\"GHz\") + 30),\n", " energy_unit=\"GHz\",\n", " )\n", " print(f\"Number of single-atom basis states: {basis.number_of_states}\")\n", "\n", " system = pi.SystemAtom(basis)\n", " system.set_electric_field([0, 0, ez], unit=\"V/cm\")\n", " system.set_magnetic_field([0, 0, bz], unit=\"gauss\")\n", " system.diagonalize()\n", "\n", " return system" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Akin to the single atom system, we now define how to create a pair atom system.\n", "We want to parametrize this in terms of the single atom system and the spatial separation.\n", "\n", "We compose a `SystemPair` from two identical `SystemAtom` because we are looking at two identical atoms.\n", "Again, we have to restrict the energy range for the `BasisPair` to keep the basis size manageable.\n", "Then we proceed to set the distance vector of the `SystemPair`.\n", "\n", "To speed up the calculation, we specify additional arguments for the `pi.diagonalize` function." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def get_system_pair_list(\n", " system: pi.SystemAtom, distances: Iterable[float], angle_rad: float\n", ") -> list[pi.SystemPair]:\n", " pair_energy = 2 * system.get_corresponding_energy(ket, unit=\"GHz\")\n", " min_energy, max_energy = pair_energy - 1, pair_energy + 1\n", "\n", " pair_basis = pi.BasisPair(\n", " [system, system], energy=(min_energy, max_energy), energy_unit=\"GHz\"\n", " )\n", " print(f\"Number of two-atom basis states: {pair_basis.number_of_states}\")\n", "\n", " pair_systems = [\n", " pi.SystemPair(pair_basis).set_distance_vector(\n", " [d * np.sin(angle_rad), 0, d * np.cos(angle_rad)], unit=\"micrometer\"\n", " )\n", " for d in distances\n", " ]\n", "\n", " # Diagonalize the systems in parallel\n", " pi.diagonalize(\n", " pair_systems,\n", " diagonalizer=\"lapacke_evd\",\n", " float_type=\"float32\",\n", " energy_range=(pair_energy - 0.05, pair_energy + 0.05),\n", " energy_unit=\"GHz\",\n", " )\n", "\n", " return pair_systems" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Now, we use the definitions from above to compose and run our calculation for the specified parameters." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of single-atom basis states: 90\n", "Number of two-atom basis states: 682\n", "Number of single-atom basis states: 90\n", "Number of two-atom basis states: 692\n" ] } ], "source": [ "distances = np.linspace(14, 4, 100) # µm\n", "efields = [0, 0.020] # V/cm\n", "bfield = 6.9 # Gauss\n", "angle = 78 * np.pi / 180 # rad\n", "\n", "system_atom_dict: dict[float, pi.SystemAtom] = {}\n", "system_pairs_dict: dict[float, list[pi.SystemPair]] = {}\n", "for efield in efields:\n", " system_atom = get_system_atom(efield, bfield)\n", " system_atom_dict[efield] = system_atom\n", " system_pairs_dict[efield] = get_system_pair_list(system_atom, distances, angle)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Using `matplotlib`, we can now plot the resulting pair potential curves which are colored accordingly to the overlap with the investigated pair state." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(nrows=2, figsize=(6, 6))\n", "\n", "for i, efield in enumerate(efields):\n", " ax = axs[i]\n", " ax.set_title(f\"$E_z = {efield * 1000}$ mV/cm\")\n", " ax.set_xlabel(\"Distance (µm)\")\n", " ax.set_ylabel(\"Energy (GHz)\")\n", " ax.set_ylim(-0.01, 0.01)\n", "\n", " system_atom = system_atom_dict[efield]\n", " pair_energy = 2 * system_atom.get_corresponding_energy(ket, unit=\"GHz\")\n", " system_pairs = system_pairs_dict[efield]\n", "\n", " energies = [system.get_eigenenergies(unit=\"GHz\") - pair_energy for system in system_pairs]\n", " overlaps = [system.get_eigenbasis().get_overlaps([ket, ket]) for system in system_pairs]\n", "\n", " for x, es in zip(distances, energies):\n", " ax.plot([x] * len(es), es, c=\"0.9\", ls=\"None\", marker=\".\", ms=2, zorder=-10)\n", "\n", " min_overlap = 0.0001\n", " for x, es, os in zip(distances, energies, overlaps):\n", " inds = np.argwhere(os > min_overlap).flatten()\n", " inds = inds[np.argsort(os[inds])]\n", " if len(inds) > 0:\n", " scat = ax.scatter(\n", " [x] * len(es[inds]),\n", " es[inds],\n", " c=os[inds],\n", " s=15,\n", " vmin=0,\n", " vmax=1,\n", " cmap=alphamagma,\n", " )\n", " fig.colorbar(scat, ax=ax, label=\"Overlap with state of interest\")\n", "\n", "plt.tight_layout()\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": 1 }