{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Rydberg 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. The [Jupyter notebook](https://github.com/pairinteraction/pairinteraction/blob/master/doc/sphinx/examples_python/pair_potential_efield_sensitivity.ipynb) and the final [Python script](https://github.com/pairinteraction/pairinteraction/blob/master/doc/sphinx/examples_python/pair_potential_efield_sensitivity.py) are available on GitHub.\n", "\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "As described in the [introduction](introduction.ipynb), we start our code with some preparations." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "# Arrays\n", "import numpy as np\n", "from functools import partial\n", "\n", "# Plotting\n", "import matplotlib.pyplot as plt\n", "from cycler import cycler\n", "\n", "# Operating system interfaces\n", "import os\n", "\n", "# pairinteraction :-)\n", "from pairinteraction import pireal as pi\n", "\n", "# Create cache for matrix elements\n", "if not os.path.exists(\"./cache\"):\n", " os.makedirs(\"./cache\")\n", "cache = pi.MatrixElementCache(\"./cache\")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We begin by defining some constants of our calculation: the spatial separations of the Rydberg atoms for which we want to evaluate the pair potential, a zero and non-zero electric field, the external magnetic field, and a generic interaction angle. The units of the respective quantities are given as comments." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "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" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Now, we use pairinteraction's `StateOne` 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": 30, "metadata": {}, "outputs": [], "source": [ "state_one = pi.StateOne(\"Rb\", 61, 2, 1.5, 1.5)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Next, we define how to set up the single atom system. We do this using a function, so we can easily create systems with the electric field as a parameter. Inside the function, we create a new system by passing the `state_one` and the cache directory we created to `SystemOne`.\n", "\n", "To limit the size of the basis, we have to choose cutoffs on states which couple to `state_one`. This is done by means of the `restrict...` functions in `SystemOne`.\n", "\n", "We set the external fields to point in $z$-direction." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "def setup_system_one(efield):\n", " system_one = pi.SystemOne(state_one.getSpecies(), cache)\n", " system_one.restrictEnergy(state_one.getEnergy() - 30, state_one.getEnergy() + 30)\n", " system_one.restrictN(state_one.getN() - 2, state_one.getN() + 2)\n", " system_one.restrictL(state_one.getL() - 2, state_one.getL() + 2)\n", " system_one.setBfield([0, 0, bfield])\n", " system_one.setEfield([0, 0, efield])\n", " return system_one" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "To investigate the $\\left|61d_{3/2},m_j=3/2;61d_{3/2},m_j=3/2\\right\\rangle$ pair state, we combine the same single-atom state twice into a pair state using `StateTwo`." ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "state_two = pi.StateTwo(state_one, state_one)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Akin to the single atom system, we now define how to create a two atom system. We want to parametrize this in terms of the single atom system and the spatial separation.\n", "\n", "We compose a `SystemTwo` from two identical `system_one` because we are looking at two identical atoms. Again, we have to restrict the energy range for coupling. Then we proceed to set the distance between the two atoms and the interaction angle.\n", "\n", "To speed up the calculation, we tell pairinteraction that this system will have some symmetries." ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "def setup_system_two(system_one, distance):\n", " system_two = pi.SystemTwo(system_one, system_one, cache)\n", " system_two.restrictEnergy(state_two.getEnergy() - 1, state_two.getEnergy() + 1)\n", " system_two.setDistance(distance)\n", " system_two.setAngle(angle)\n", " system_two.setConservedParityUnderPermutation(pi.ODD)\n", " return system_two" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Now, we use the definitions from above to compose our calculation. Since we are only interested in pair potential curves close to the investigated pair state, we further restrict the energy range after diagonalizing the two atom system." ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "def getSystems(distance, system_one, fieldshift):\n", " # Set up two atom system\n", " system_two = setup_system_two(system_one, distance)\n", " system_two.diagonalize(1e-3)\n", "\n", " # Restrict the calculated eigenenergies\n", " system_two.restrictEnergy(fieldshift - 0.015, fieldshift + 0.015)\n", " system_two.buildHamiltonian() # has to be called to apply the new restriction in energy\n", " return system_two" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we run the calculations for the given values of the electric field. The method `getConnections` tells which eigenenergies are adiabatically connected and make up pair potential curves. Using `matplotlib`, we plot the resulting pair potential curves which are colored accordingly to the overlap with the investigated pair state." ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "tags": [ "nbsphinx-thumbnail" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "axes = [fig.add_subplot(1, 2, 1), fig.add_subplot(1, 2, 2)]\n", "\n", "for ax, efield in zip(axes, efields):\n", " # Set up one atom systems\n", " system_one = setup_system_one(efield)\n", " system_one.diagonalize(1e-3)\n", " fieldshift = (\n", " 2\n", " * system_one.getHamiltonian().diagonal()[\n", " system_one.getBasisvectorIndex(state_one)\n", " ]\n", " )\n", "\n", " # Get diagonalized two atom systems\n", " systems_two = list(\n", " map(\n", " partial(getSystems, system_one=system_one, fieldshift=fieldshift),\n", " distances,\n", " )\n", " )\n", "\n", " # Plot pair potentials\n", " ax.set_title(rf\"$E_z$ = ${efield * 1e3}$ mV/cm\")\n", " ax.set_xlabel(r\"Distance (µm)\")\n", " ax.set_xlim(np.min(distances), np.max(distances))\n", " ax.set_ylim(-10, 10)\n", "\n", " for i1, i2 in zip(range(0, len(systems_two) - 1), range(1, len(systems_two))):\n", " c1, c2 = np.array(systems_two[i1].getConnections(systems_two[i2], 0.001))\n", " segment_distances = [distances[i1], distances[i2]]\n", " segment_energies = (\n", " np.array(\n", " [\n", " systems_two[i1].getHamiltonian().diagonal()[c1],\n", " systems_two[i2].getHamiltonian().diagonal()[c2],\n", " ]\n", " )\n", " - fieldshift\n", " ) * 1e3 # MHz\n", " segment_overlap = np.mean(\n", " [\n", " systems_two[i1].getOverlap(state_two)[c1],\n", " systems_two[i2].getOverlap(state_two)[c2],\n", " ],\n", " axis=0,\n", " )\n", " segment_color = plt.cm.viridis_r(segment_overlap)\n", " ax.set_prop_cycle(cycler(\"color\", segment_color))\n", " ax.plot(segment_distances, segment_energies, lw=3)\n", "\n", "axes[0].set_ylabel(r\"Energy (MHz)\")\n", "axes[1].set_yticklabels([]);" ] }, { "cell_type": "code", "execution_count": null, "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": "3.10.6" }, "vscode": { "interpreter": { "hash": "e7370f93d1d0cde622a1f8e1c04877d8463912d04d973331ad4851f04de6915a" } } }, "nbformat": 4, "nbformat_minor": 1 }