{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Rydberg Atom Ion Interaction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we look at the interacton between a single ion and a Rydberg atom. More details regarding the theory can be found in [A. Duspayev et al., Phys. Rev. Research 3, 023114 (2021)](https://doi.org/10.1103/PhysRevResearch.3.023114) or [M. Deiß et al., Atoms 9, 2 (2021)](https://doi.org/10.3390/atoms9020034). The inernuclear axis is aligned with the z-direction and the interaction is expanded in multipolar terms. With this choice of coordinate system, the interaction potential is rotationally symmetric around the quantization axis and only states of same $m_J$ couple with each other, reducing the number of basis states.\n", "\n", "We will reproduce here Fig. 2 (a) and (b) from Phys. Rev. Research 3, 023114 (2021), showing the influence of higher multipole order terms" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Import the Library" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# We call an IPython magic function to make the output of plotting commands displayed inline.\n", "%matplotlib inline\n", "\n", "# Arrays\n", "import numpy as np\n", "\n", "# Plotting\n", "import matplotlib.pyplot as plt\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\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Application: Potential Curves" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The SystemOne class defines the Rydberg atom and the effect of the electric field of the ion can be included into the calculations. The charge of the ion in units of the elementary charge can be passed by SystemOne.setIonCharge(charge) and the distance between the ion and the Rydberg core with SystemOne.setRydIonDistance(distance) in units of micrometer. The orientatin is fixed such that the internuclear axis points along the z-axis.\n", "\n", "As an example we show how to calculate the energy of the Rydberg state for different internuclear distances and including a different number of multipole orders. Choosing a maximum multipole order of one is equivalent to calculating a StarkMap in a homogenious electric field." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "tags": [ "nbsphinx-thumbnail" ] }, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Define the Rydberg state for which the interaction with the ion should be calculated\n", "state = pi.StateOne(\"Rb\", 45, 1, 1.5, 0.5)\n", "\n", "# Setup system, considering states only with similar energy and principle quantum number.\n", "# (if a high accuracy is required, the energy and principle quantum number ranges must be increased)\n", "LowN = 42\n", "HighN = 48\n", "LowEnergy = -100\n", "HighEnergy = 100\n", "system = pi.SystemOne(state.getSpecies(), cache)\n", "system.restrictEnergy(state.getEnergy() + LowEnergy, state.getEnergy() + HighEnergy)\n", "system.restrictN(LowN, HighN)\n", "\n", "# Since the ion and Rydberg atom are placed on the z-axis, the magnetic momentum is conserved\n", "system.restrictM(0.5, 0.5)\n", "\n", "# Define the charge of the ion in units of the elementary charge\n", "system.setIonCharge(1)\n", "\n", "# Define the maximum considered order of the multipole expansion.\n", "# 1: monopole-dipole, 2: monopole-quadrupole, ...\n", "system.setRydIonOrder(1)\n", "\n", "# Loop over different distances to the ion\n", "array_distances = np.linspace(1.5, 1.1, 100) # um\n", "array_eigenvalues = []\n", "array_overlaps = []\n", "\n", "for distance in array_distances:\n", " # Set the ion Rydberg-atom distance in units of um\n", " system.setRydIonDistance(distance)\n", " # Diagonalize the system\n", " system.diagonalize()\n", " # Store the eigenenergies\n", " array_eigenvalues.append(system.getHamiltonian().diagonal())\n", " # Store the overlap of the eigenstates with the defined state\n", " array_overlaps.append(system.getOverlap(state))\n", "\n", "array_eigenvalues = np.ravel(array_eigenvalues)\n", "array_overlaps = np.ravel(array_overlaps)\n", "array_distances = np.repeat(array_distances, system.getNumBasisvectors())\n", "array_eigenvalues = (\n", " array_eigenvalues / 29.9792458\n", ") # Convert GHz into inverse cm wavenumber\n", "\n", "# Plot the interaction potential, the color code visualizes overlap of eigenstates with defined state\n", "plt.scatter(array_distances, array_eigenvalues, 8, array_overlaps)\n", "plt.xlabel(\"Distance (um)\")\n", "plt.ylabel(\"Energy (1/cm)\")\n", "plt.colorbar(label=f\"Overlap with {state}\")\n", "plt.title(\"Up to 1st order in the multipole expansion\")\n", "plt.grid()\n", "plt.ylim(-61.5, -61.2)\n", "plt.show()\n", "\n", "# Calculate the same but including orders up to 6\n", "system.setRydIonOrder(6)\n", "\n", "# Loop over different distances to the ion\n", "array_distances = np.linspace(1.5, 1.1, 100) # um\n", "array_eigenvalues = []\n", "array_overlaps = []\n", "\n", "for distance in array_distances:\n", " # Set the ion Rydberg-atom distance in units of um\n", " system.setRydIonDistance(distance)\n", " # Diagonalize the system\n", " system.diagonalize()\n", " # Store the eigenenergies\n", " array_eigenvalues.append(system.getHamiltonian().diagonal())\n", " # Store the overlap of the eigenstates with the defined state\n", " array_overlaps.append(system.getOverlap(state))\n", "\n", "array_eigenvalues = np.ravel(array_eigenvalues)\n", "array_overlaps = np.ravel(array_overlaps)\n", "array_distances = np.repeat(array_distances, system.getNumBasisvectors())\n", "array_eigenvalues = (\n", " array_eigenvalues / 29.9792458\n", ") # Convert GHz into inverse cm wavenumber\n", "\n", "# Plot the interaction potential, the color code visualizes overlap of eigenstates with defined state\n", "plt.scatter(array_distances, array_eigenvalues, 8, array_overlaps)\n", "plt.xlabel(\"Distance (um)\")\n", "plt.ylabel(\"Energy (1/cm)\")\n", "plt.colorbar(label=f\"Overlap with {state}\")\n", "plt.title(\"Up to 6th order in the multipole expansion\")\n", "plt.grid()\n", "plt.ylim(-61.5, -61.2);" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3.9.5 ('vnew2')", "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": "3.9.5" }, "vscode": { "interpreter": { "hash": "c441cf9ad358e12f30ef66b395bb93a1f4c67c85df96fd95ac0645f323b78bba" } } }, "nbformat": 4, "nbformat_minor": 2 }