{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# $C_3$ and $C_6$ Coefficients" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The PairInteraction Python API comes with high-level functionality to calculate $C_3$ coefficients (dipole-dipole) and $C_6$ coefficients (van der Waals) without having to write much code. All functionality for calculating the coefficients are provided by the `pi.C3` and `pi.C6` classes:\n", "* The constructor of the classes take the state of interest.\n", "* The `get` method returns the coefficient.\n", "* The classes determine automatically which states should be taken into account to obtain an accurate coefficient. To provide guidance how many states in the pair basis should be considered, you can use the method `set_minimum_number_of_ket_pairs`.\n", "* If the coefficient should be calculated in the presence of e.g. a magnetic field, the `set_magnetic_field` method can be called before getting the coefficient. In general, the classes support similar setters as the `pi.SystemAtom` and `pi.SystemPair` classes.\n", "\n", "If you are interested in calculating effective Hamiltonians beyond just the $C_3$ and $C_6$ coefficients, also check out the tutorial [Effective Hamiltonians](./effective_hamiltonian.ipynb)." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "%pip install -q matplotlib numpy pairinteraction\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pairinteraction as pi\n", "\n", "if pi.Database.get_global_database() is None:\n", " pi.Database.initialize_global_database(download_missing=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Quickly get a $C_3$ and $C_6$ coefficient" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the following, we have a minimal example for calculating a $C_3$ and $C_6$ coefficient." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "C3 coefficient between |Rb:61,S_1/2,1/2⟩ and |Rb:62,P_3/2,1/2⟩: -99.956 MHz um^3\n", "C6 coefficient of (KetAtom(Rb:61,S_1/2,1/2), KetAtom(Rb:61,S_1/2,1/2)): 169208.742 MHz um^6\n" ] } ], "source": [ "ket1 = pi.KetAtom(\"Rb\", n=61, l=0, j=0.5, m=0.5)\n", "ket2 = pi.KetAtom(\"Rb\", n=62, l=1, j=1.5, m=0.5)\n", "\n", "c3 = pi.C3(ket1, ket2).get(\"MHz um^3\")\n", "print(f\"C3 coefficient between {ket1} and {ket2}: {c3:.3f} MHz um^3\")\n", "\n", "c6 = pi.C6(ket1, ket1).get(\"MHz um^6\")\n", "print(f\"C6 coefficient of {ket1, ket1}: {c6:.3f} MHz um^6\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Angular dependence of the $C_3$ and $C_6$ coefficient" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a more sophisticated example, we calculate the angular dependence of the coefficients in the presence of a magnetic field along the quantization axis. For the angular dependence of the $C_3$ coefficient, we recover the dipole pattern $1-3\\cos (\\theta)^2$." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Calculate C3 coefficients for different angles\n", "c3_obj = pi.C3(ket1, ket2)\n", "c3_obj.set_diamagnetism_enabled(False)\n", "c3_obj.set_magnetic_field([0, 0, 20], \"gauss\")\n", "\n", "thetas = np.linspace(0, 2 * np.pi, 40)\n", "c3_coeffs = [c3_obj.set_angle(theta, unit=\"radian\").get(\"GHz um^3\") for theta in thetas]\n", "\n", "# Plot the results\n", "fig, axs = plt.subplots(1, 2, figsize=(10, 5))\n", "\n", "axs[1].remove()\n", "axs[1] = fig.add_subplot(1, 2, 2, projection=\"polar\")\n", "\n", "for ax in axs:\n", " ax.scatter(thetas, c3_coeffs, label=\"perturbative C3\")\n", " ax.plot(\n", " thetas,\n", " -0.5 * c3_coeffs[0] * (1 - 3 * np.cos(thetas) ** 2),\n", " label=r\"$1-3\\cos(\\theta)^2$\",\n", " )\n", "\n", "axs[0].legend()\n", "axs[0].set_xlabel(r\"$\\theta$ [rad]\")\n", "axs[0].set_ylabel(r\"$C_3$ [$h$ GHz $\\mu m^3$]\")\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Calculate C6 coefficients for different angles\n", "c6_obj = pi.C6(ket1, ket1)\n", "c6_obj.set_diamagnetism_enabled(False)\n", "c6_obj.set_magnetic_field([0, 0, 20], \"gauss\")\n", "\n", "c6_coeffs = [c6_obj.set_angle(theta, unit=\"radian\").get(\"GHz um^6\") for theta in thetas]\n", "\n", "# Plot the results\n", "fig, axs = plt.subplots(1, 2, figsize=(10, 5))\n", "\n", "axs[1].remove()\n", "axs[1] = fig.add_subplot(1, 2, 2, projection=\"polar\")\n", "\n", "for ax in axs:\n", " ax.scatter(thetas, c6_coeffs, label=\"perturbative C6\")\n", "\n", "axs[0].legend()\n", "axs[0].set_xlabel(r\"$\\theta$ [rad]\")\n", "axs[0].set_ylabel(r\"$C_6$ [$h$ GHz $\\mu m^6$]\")\n", "\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "pairinteraction", "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": "3.11.2" } }, "nbformat": 4, "nbformat_minor": 2 }