{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Example: Effect of wavefront aberrations in atom interferometry" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As an example, we reproduce two plots from the paper https://link.springer.com/article/10.1007/s00340-015-6138-5.\n", "\n", "The simulation will require the following objects and parameters\n", "* `Wavefront`: contains the wavefront aberrations of the interferometry lasers\n", "* `AtomicEnsemble`: an ensemble of atoms which different trajectories or phase space vectors\n", "* `Detector`: determines which atoms contribute to the signal\n", "* times of the three interferometer pulses\n", "* effective wavevector" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import json\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from functools import partial\n", "import aisim as ais" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Loading and preparing wavefront data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Wavefront aberration in multiples of $\\lambda$ = 780 nm. \n", "\n", "Load Zernike coefficients from file:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "coeff_window = {j: val for j, val in enumerate(np.loadtxt(\"data/wavefront.txt\"))}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Creating `Wavefront` objects and removing piston, tip and tilt from the data:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "r_wf = 10.91e-3 # radius of the available wavefront data in m\n", "\n", "wf = ais.Wavefront(r_wf, coeff_window, zern_order=\"WYANT\", zern_norm=None)\n", "for n in [0, 1, 2]:\n", " wf.coeff[n] = 0" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "wf.plot(cmap=\"twilight_shifted\", levels=50)\n", "fig, ax = wf.plot_coeff(color=\"C3\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Creating an atomic ensemble\n", "\n", "Due to the large number of parameters determining an atomic ensemble, dictionaries are used:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# Create an ensemble of atoms\n", "atoms = ais.create_random_ensemble(\n", " int(1e5),\n", " x_dist=partial(ais.dist.position_dist_gaussian, std=3.0e-3),\n", " y_dist=partial(ais.dist.position_dist_gaussian, std=3.0e-3),\n", " z_dist=partial(ais.dist.position_dist_gaussian, std=3.0e-3),\n", " vx_dist=partial(ais.dist.velocity_dist_from_temp, temperature=3.5e-6),\n", " vy_dist=partial(ais.dist.velocity_dist_from_temp, temperature=3.5e-6),\n", " vz_dist=partial(ais.dist.velocity_dist_for_gaussian_velsel, pulse_duration=60e-6),\n", " seed=1,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plotting the initial positions of the ensemble." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'y / mm')" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "atoms.plot(ax=ax, cmap=\"Reds\")\n", "ax.set_aspect(\"equal\", \"box\")\n", "ax.set_xlabel(\"x / mm\")\n", "ax.set_ylabel(\"y / mm\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Setting up the detector\n", "\n", "We want to calculate the dependency of the phase shift caused by wavefront aberrations on the detection area. For this reason, we set up a Detector with varying detection radius within a for-loop." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "t_det = 778e-3 # time of the detection in s" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Simulation the bias in gravity from wavefront aberrations\n", "\n", "For the simulation we need the objects created above and the timing of the interferometer sequence." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "T = 260e-3 # interferometer time in s\n", "t1 = 130e-3 # time of first pulse in s\n", "t2 = t1 + T\n", "t3 = t2 + T" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "awfs = []\n", "r_dets = np.linspace(2e-3, 10e-3, 16)\n", "for r_det in r_dets:\n", " # creating detector with new detection radius\n", " det = ais.PolarDetector(t_det, r_det=r_det)\n", "\n", " det_atoms = det.detected_atoms(atoms)\n", "\n", " # calculate the imprinted phase for each \"test atom\" at each pulse. This is the computationally heavy part\n", " phi1 = 2 * np.pi * wf.get_value(det_atoms.calc_position(t1))\n", " phi2 = 2 * np.pi * wf.get_value(det_atoms.calc_position(t2))\n", " phi3 = 2 * np.pi * wf.get_value(det_atoms.calc_position(t3))\n", "\n", " # calculate a complex amplitude factor for the Mach-Zehnder sequence and calculate\n", " # the mean. Note that some atoms will have probed the wavefront outside of the\n", " # Raman beam radius and will thus have a NaN value in the phase.\n", " awfs.append(np.nanmean(np.exp(1j * (phi1 - 2 * phi2 + phi3))))\n", "\n", "# factor two since the window is passed twice\n", "g = 2 * ais.phase_error_to_grav(np.angle(awfs), T=260e-3, keff=1.610574779769e7)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We load the measured gravity data from a file and compare it to the simulation results." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "data = json.load(open(\"data/experimental_data.json\"))\n", "r_det_data = np.array(data[\"r_det\"])\n", "grav = np.array(data[\"g\"])\n", "graverr = np.array(data[\"g_err\"])" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.plot(1e3 * r_dets, 1e9 * g, label=\"simulation\")\n", "ax.errorbar(1e3 * r_det_data, 1e9 * grav, yerr=1e9 * graverr, fmt=\"o\", label=\"data\")\n", "ax.set_xlabel(\"Detection radius / mm\")\n", "ax.set_ylabel(\"Gravity bias / $nm/s^2$\")\n", "ax.set_ylim([-35, 5])\n", "ax.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the original software used in the paper used a fixed position and velocity\n", "grid rather than a Monte-Carlo approach, so some discrepancies are to be expected." ] } ], "metadata": { "kernelspec": { "display_name": "aisim", "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": "3.13.0" } }, "nbformat": 4, "nbformat_minor": 2 }