{ "cells": [ { "cell_type": "markdown", "id": "bb162714", "metadata": {}, "source": [ "# Physical benchmarks: one-dimensional MOT\n", "\n", "In this notebook we benchmark ``atomsmltr`` simulations on simple physical examples. We consider the case of a one-dimensionnal magneto-optical trap, and neglect the effect of fluctuations due to spontaneous emission" ] }, { "cell_type": "markdown", "id": "0b8b3519", "metadata": {}, "source": [ "## Formulaes and orders of magnitude\n", "\n", "### Radiation pressure\n", "\n", "We consider radiation pressure for an atom of mass $m$, a laser of wavenumber $k$ and a transition of natural linewidth $\\Gamma$. It takes the form: \n", "\n", "$$\n", "F = \\hbar k \\frac{\\Gamma}{2} \\frac{s}{1+s},\n", "$$\n", "\n", "with $s$ the saturation parameter, given by:\n", "\n", "$$\n", "s = \\frac{I}{I_\\mathrm{sat}} \\frac{1}{1 + (2\\delta/\\Gamma)^2}\n", "$$\n", "\n", "where $I_\\mathrm{sat}$ is the transition saturation intensity, and $\\delta$ the laser detuning with respect to the atomic transition. We consider the limit $s\\ll 1$ so that the radiation pressures of independent lasers can be summed up. " ] }, { "cell_type": "markdown", "id": "45b1f4d0", "metadata": {}, "source": [ "### Doppler friction in a 1D Molasse\n", "\n", "Now if we consider two counter-propagating beams, in the limit where $kv \\ll \\Gamma$, the radiation pressure can be approximated by a friction force :\n", "\n", "$$\n", "F_\\mathrm{rad, fric} = -m\\gamma v\n", "$$\n", "\n", "with\n", "\n", "$$\n", "\\gamma = -\\frac{\\hbar k^2 }{m} s_0 \\frac{2 \\delta \\Gamma}{\\delta^2 + \\Gamma^2 / 4} \n", "$$\n", "\n", "where $s_0 = I / I_\\mathrm{sat}$." ] }, { "cell_type": "markdown", "id": "c19fc148", "metadata": {}, "source": [ "### Retrieving force with a magnetic gradient\n", "\n", "Now we add a magnetic gradient along $x$. We denote $b^\\prime$ the gradient and $\\mu$ the magnetic moment of the atom in the excited state. We consider that the counter propating beams are $\\sigma_\\pm$ polarized.\n", "\n", "We can then show that the radiation pressure induces a spring-like force :\n", "\n", "$$\n", "F_\\mathrm{rad, spring} = - \\kappa x\n", "$$\n", "\n", "where :\n", "\n", "$$\n", "\\kappa = - k \\mu b^\\prime s_0 \\frac{2 \\delta \\Gamma}{\\delta^2 + \\Gamma^2 / 4} \n", "$$\n", "\n", "The corresponding oscillation period is given by $T = 2\\pi\\sqrt{m/\\kappa}$" ] }, { "cell_type": "markdown", "id": "2f717090", "metadata": {}, "source": [ "## Definitions" ] }, { "cell_type": "code", "execution_count": 1, "id": "da46a0ab", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import scipy.constants as csts\n", "from scipy.integrate import solve_ivp\n", "\n", "def _gamma(k, m, δ, Γ, s):\n", " return -csts.hbar * k**2 / m * s * δ * Γ / (δ**2 + Γ**2 / 4)\n", "\n", "def _kappa(k, μ, b, δ, Γ, s):\n", " return -k * μ * b * s * δ * Γ / (δ**2 + Γ**2 / 4)\n", "\n", "def _T(k, μ, b, δ, Γ, s, m):\n", " kappa = np.abs(_kappa(k, μ, b, δ, Γ, s))\n", " return 2 * np.pi * np.sqrt(m / kappa)\n", "\n", "def u_th(x0, v0, t, m, gamma, kappa):\n", " \"\"\"Theoretical trajectory\"\"\"\n", " def dudt(t, u):\n", " v, x = u\n", " dv = - gamma * v - kappa / m * x\n", " dx = v\n", " return [dv, dx]\n", " \n", " u0 = [v0, x0]\n", " sol = solve_ivp(dudt, t_span=[t.min(), t.max()], y0=u0, t_eval=t)\n", " return sol.y" ] }, { "cell_type": "markdown", "id": "66fc61ce", "metadata": {}, "source": [ "## Simulations\n", "\n", "Let's test the above model." ] }, { "cell_type": "code", "execution_count": 2, "id": "74acc835", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "────────\n", "| main |\n", "────────\n", ". Parameters :\n", " ├── λ : 398.91 nm\n", " ├── Γ : 2π × 2.89e+07 Hz\n", " ├── Isat : 59.51 mw/cm²\n", " ├── Doppler temp. : 6.93e-04 K\n", " └── lande factor g : 1.035\n", "\n", "\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# - import packages\n", "from atomsmltr.atoms import Ytterbium\n", "from atomsmltr.environment.lasers import PlaneWaveLaserBeam\n", "from atomsmltr.environment.fields import MagneticGradient\n", "from atomsmltr.environment.lasers import CircularRight\n", "from atomsmltr.simulation import Configuration, RK4\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import scipy.constants as csts\n", "from scipy.integrate import solve_ivp\n", "\n", "# - settings\n", "atom = Ytterbium()\n", "transition = atom.trans[\"main\"]\n", "transition.print_info()\n", "s = 0.02\n", "b = 0.1 # T/m\n", "delta = -0.5 * transition.Gamma\n", "x0 = 500e-6\n", "v0 = 0\n", "\n", "# - compute physical parameters\n", "mu_B = csts.physical_constants[\"Bohr magneton\"][0]\n", "g = transition.lande_factor\n", "μ = g * mu_B\n", "k = transition.k\n", "Γ = transition.Gamma\n", "δ = delta\n", "m = atom.mass\n", "gamma = _gamma(k, m, δ, Γ, s)\n", "kappa = _kappa(k, μ, b, δ, Γ, s)\n", "T = _T(k, μ, b, δ, Γ, s, m)\n", "\n", "# - duration\n", "t = np.linspace(0, T, 1_000)\n", "\n", "# - init config\n", "\n", "# lasers\n", "laser_1 = PlaneWaveLaserBeam(\n", " wavelength=transition.wavelength,\n", " direction=(1, 0, 0),\n", " tag=\"399+\",\n", " polarization=CircularRight(),\n", ")\n", "laser_2 = PlaneWaveLaserBeam(\n", " wavelength=transition.wavelength,\n", " direction=(-1, 0, 0),\n", " tag=\"399-\",\n", " polarization=CircularRight(),\n", ")\n", "laser_1.set_power_from_I(s * transition.Isat)\n", "laser_2.set_power_from_I(s * transition.Isat)\n", "\n", "# magnetic field\n", "mag_gradient = MagneticGradient(\n", " origin=(0, 0, 0), slope=b, gradient_direction=(1, 0, 0), field_direction=(1, 0, 0)\n", ")\n", "# config\n", "config = Configuration(atom=atom) + laser_1 + laser_2 + mag_gradient\n", "\n", "config.add_atomlight_coupling(\"399+\", \"main\", detuning=delta)\n", "config.add_atomlight_coupling(\"399-\", \"main\", detuning=delta)\n", "# simulator\n", "sim = RK4(config)\n", "\n", "# - simulate\n", "\n", "# simulation parameters\n", "u0 = np.zeros(6)\n", "u0[0] = x0\n", "u0[3] = v0\n", "\n", "# run\n", "res = sim.integrate(u0, t)\n", "\n", "# - theoretical result\n", "u = u_th(x0, v0, t, m, gamma, kappa)\n", "vt, xt = u\n", "\n", "# - plot results\n", "fig, ax = plt.subplots(1, 2, figsize=(10, 4), tight_layout=True)\n", "ax[0].plot(res.t * 1e6, res.y[0, :] * 1e6, label=\"sim\")\n", "ax[0].plot(res.t * 1e6, xt * 1e6, label=\"theory\", dashes=[2,1])\n", "ax[0].set_ylabel(\"position (µm)\")\n", "ax[0].legend()\n", "ax[1].plot(res.t * 1e6, res.y[3, :] * 1e3)\n", "ax[1].plot(res.t * 1e6, vt * 1e3, dashes=[2,1])\n", "ax[1].set_ylabel(\"speed (mm/s)\")\n", "\n", "for cax in ax:\n", " cax.grid()\n", " cax.set_xlabel(\"time (µs)\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "201d14b5", "metadata": {}, "source": [ "Now scan the magnetic field gradient" ] }, { "cell_type": "code", "execution_count": 3, "id": "fe210295", "metadata": {}, "outputs": [], "source": [ "# - settings\n", "b_list = [0.1, 0.2, 0.5, 1]\n", "\n", "sim_list = {}\n", "th_list = {}\n", "\n", "# - simulate\n", "for b in b_list:\n", " # update config\n", " mag_gradient.slope = b\n", " config.update_objects(mag_gradient)\n", "\n", " # simulate\n", " res = sim.integrate(u0, t)\n", " sim_list[b] = res\n", "\n", " # theory\n", " gamma = _gamma(k, m, δ, Γ, s)\n", " kappa = _kappa(k, μ, b, δ, Γ, s)\n", " th_list[b] = u_th(x0, v0, t, m, gamma, kappa)" ] }, { "cell_type": "code", "execution_count": 4, "id": "31b6a8a3", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# - plot results\n", "fig, ax = plt.subplots(1, 2, figsize=(10, 4), tight_layout=True)\n", "for b, res in sim_list.items():\n", " vt, xt = th_list[b]\n", " ax[0].plot(res.t * 1e6, res.y[0, :] * 1e6, label=f\"sim ({b=})\")\n", " ax[0].plot(res.t * 1e6, xt * 1e6, label=\"theory\", dashes=[2,2], color=\"k\")\n", " ax[1].plot(res.t * 1e6, res.y[3, :] * 1e3)\n", " ax[1].plot(res.t * 1e6, vt * 1e3, dashes=[2,2], color=\"k\")\n", "\n", "ax[0].set_ylabel(\"position (µm)\")\n", "ax[0].legend()\n", "ax[1].set_ylabel(\"speed (mm/s)\")\n", "\n", "for cax in ax:\n", " cax.grid()\n", " cax.set_xlabel(\"time (µs)\")\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": 5 }