{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Simulations\n", "\n", "Here we illustrate how to run simulations, using the ``atomsmltr.simulation.simulator`` subpackage\n", "\n", "We only provide minimal examples here. Please have a look at the examples in the **atomic physic** section for more examples." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Minimal example of a simulation\n", "\n", "Here is a very simple example, where we only include a pair of lasers along z (modelled as plane waves), and launch one ytterbium atom with an initial speed of 100 m/s along z.\n", "\n", "We use the simulator based on Scipy's ``solve_IVP`` method, namely ``ScipyIVP_3D``. When we only need to perform one simulation, the easiest is to use the ``integrate()`` method." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from atomsmltr.environment import PlaneWaveLaserBeam\n", "from atomsmltr.atoms import Ytterbium\n", "from atomsmltr.simulation import Configuration, ScipyIVP_3D\n", "\n", "# - setup atom\n", "atom = Ytterbium()\n", "main = atom.trans[\"main\"] # get transition, to help setting up lasers\n", "\n", "# - setup laser\n", "laser_1 = PlaneWaveLaserBeam()\n", "laser_1.direction = (0, 0, 1)\n", "laser_1.set_power_from_I(main.Isat) # set power to reach Isat\n", "laser_1.tag = \"las1\"\n", "\n", "laser_2 = laser_1.copy() # create a copy\n", "laser_2.direction = (0, 0, -1) # propagating in opposite direction\n", "laser_2.tag = \"las2\"\n", "\n", "# - config\n", "config = Configuration()\n", "config.atom = atom\n", "config += laser_1, laser_2\n", "config.add_atomlight_coupling(\"las1\", \"main\", -0.5 * main.Gamma)\n", "config.add_atomlight_coupling(\"las2\", \"main\", -0.5 * main.Gamma)\n", "\n", "# - simulation\n", "sim = ScipyIVP_3D(config=config)\n", "t = np.linspace(0, 0.1, 1000) # timesteps for integration\n", "u0 = (0, 0, 0, 0, 0, 100) # atom starts with vz=100m/s\n", "res = sim.integrate(u0, t)\n", "\n", "# plot\n", "fix, axes = plt.subplots(1, 2, figsize=(8, 3), tight_layout=True)\n", "axes[0].plot(res.t * 1e3, res.y[2])\n", "axes[0].set_ylabel(\"z (m)\")\n", "axes[1].plot(res.t * 1e3, res.y[5])\n", "axes[1].set_ylabel(\"vz (m/s)\")\n", "for ax in axes:\n", " ax.set_xlabel(\"t (ms)\")\n", " ax.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Parallel computation\n", "\n", "The simulator makes it easy to perform several simulations in parallel. For that, one has to provide a list of initial conditions ``u0_list`` and use the ``run()`` method :" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "tags": [ "hide-output" ] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 100/100 [00:01<00:00, 85.50it/s]\n" ] } ], "source": [ "# - simulation\n", "# using the same configuration as before\n", "sim = ScipyIVP_3D(config=config)\n", "t = np.linspace(0, 0.1, 1000) # timesteps for integration\n", "\n", "# prepare initial conditions\n", "vz_list = np.linspace(1, 130, 100)\n", "u0_list = [(0,0,0,0,0,vz) for vz in vz_list]\n", "\n", "# run\n", "sim.u0_list = u0_list\n", "res_coll = sim.run(t, npools=5, verbose=True)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot\n", "plt.figure(figsize=(8, 4), tight_layout=True)\n", "for res in res_coll[::2]:\n", " plt.plot(res.y[2], res.y[5], color=\"C0\")\n", "plt.xlabel(\"z (m)\")\n", "plt.ylabel(\"vz (m/z)\")\n", "plt.xlim(0, 10)\n", "plt.ylim(0, 120)\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Use zones to stop the simulation\n", "\n", "One can use zones to make the simulation stop. \n", "\n", "To test that, let's make a stupid simulation with atoms flying around freely" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from atomsmltr.simulation import Configuration, ScipyIVP_3D\n", "from atomsmltr.environment import Limits\n", "from atomsmltr.atoms import Ytterbium\n", "\n", "# atom\n", "atom = Ytterbium()\n", "\n", "# zones\n", "xlim = Limits(-10, 10, axis=0, target=\"position\", action=\"stop\")\n", "ylim = Limits(-10, 10, axis=1, target=\"position\", action=\"stop\")\n", "\n", "# config\n", "config = Configuration()\n", "config.atom = atom\n", "config.add_objects([xlim, ylim])\n", "\n", "# simulator\n", "\n", "sim = ScipyIVP_3D(config)\n", "\n", "# set initial conditions\n", "t = np.linspace(0, 10, 1000)\n", "theta_list = np.linspace(0, 2 * np.pi, 50)\n", "u0 = [(0, 0, 0, 10 * np.cos(th), 10 * np.sin(th), 0) for th in theta_list]\n", "\n", "# run\n", "res_coll = sim.run(t, u0, npools=5)\n", "\n", "# compare with case without zones\n", "config.rm_all_zones()\n", "sim.config = config\n", "res_coll_nozones = sim.run(t, u0, npools=5)\n", "\n", "# plot\n", "plt.figure(figsize=(4, 4), tight_layout=True)\n", "for res in res_coll_nozones:\n", " plt.plot(res.y[0], res.y[1], color=\"C1\")\n", "for res in res_coll:\n", " plt.plot(res.y[0], res.y[1], color=\"C0\")\n", "plt.xlabel(\"x (m)\")\n", "plt.ylabel(\"y (m/)\")\n", "plt.xlim(-20, 20)\n", "plt.ylim(-20, 20)\n", "plt.grid()\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "atomsmltr-KmviZRuT-py3.12", "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": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 2 }