{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# I want to calculate $J,\\; U_s,\\, U_d$ for double tweezers to analyse how bosons can be merged into the GS. For this I need the wave functions of the 3D hamiltonian:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import matplotlib.animation as animation\n", "import numpy as np\n", "import sympy as sp\n", "from IPython.display import Math, display\n", "from matplotlib.axes import Axes\n", "from scipy import constants as const\n", "from scipy.integrate import quad\n", "from scipy.optimize import root_scalar\n", "from scipy.signal import argrelmax,argrelmin,find_peaks\n", "from tqdm import tqdm\n", "\n", "import fewfermions.analysis.units as si\n", "from fewfermions.simulate.traps.twod.trap import DoubleTweezer" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "initial_power = 50* si.uW\n", "initial_waist = 1.1*si.uW\n", "initial_distance = 2*si.um\n", "\n", "trap: DoubleTweezer = DoubleTweezer(\n", " power=0, # Set pancake laser power to 0, no 2D trap\n", " grad_z= 0*si.G/si.cm,\n", " grad_r=0,\n", " power_tweezer1 = initial_power, #stationary\n", " power_tweezer2 = initial_power, #transfer tweezer\n", " waist_tweezer1 = initial_waist, #stationary\n", " waist_tweezer2 = initial_waist, #transfer tweezer\n", " distance_tweezers = initial_distance,\n", "\n", " a=180*(4 * np.pi * const.epsilon_0 * const.value(\"Bohr radius\")**3)/(2 * const.epsilon_0 * const.c),\n", " wvl = 532 * si.nm,\n", "\n", " g = 0,\n", ")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Try how expensive 3D diagonalisation is:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "n_pot_steps = [50,50,50]\n", "n_levels = 8\n", "\n", "left_cutoff = -0.5*initial_distance-2*np.max([float(trap.subs(trap.waist_tweezer1)),float(trap.subs(trap.waist_tweezer2))])\n", "right_cutoff = 0.5*initial_distance+2*np.max([float(trap.subs(trap.waist_tweezer1)),float(trap.subs(trap.waist_tweezer2))])\n", "back_cutoff = -2*np.max([float(trap.subs(trap.waist_tweezer1)),float(trap.subs(trap.waist_tweezer2))])\n", "front_cutoff = 2*np.max([float(trap.subs(trap.waist_tweezer1)),float(trap.subs(trap.waist_tweezer2))])\n", "bottom_cutoff = -2*np.max([float(trap.subs(trap.get_tweezer_rayleigh1())),float(trap.subs(trap.get_tweezer_rayleigh2()))])\n", "top_cutoff = 2*np.max([float(trap.subs(trap.get_tweezer_rayleigh1())),float(trap.subs(trap.get_tweezer_rayleigh2()))])\n", "\n", "extend = [(left_cutoff,right_cutoff),\n", " (back_cutoff,front_cutoff),\n", " (bottom_cutoff,top_cutoff)]\n", "\n", "\n", "# Solve the hamiltonian numerically\n", "energies, states, potential, coords = trap.nstationary_solution(\n", " [trap.x,trap.y,trap.z], extend, n_pot_steps, k=n_levels)\n", "\n", "x = coords[trap.x]\n", "y = coords[trap.y]\n", "z = coords[trap.z]\n", "x3D,y3D,z3D = np.meshgrid(coords[trap.x],coords[trap.y],coords[trap.z],indexing=\"ij\")\n", "pot = potential(x3D,y3D,z3D)\n", "np.savez(\"data/test_3D.npz\",energies=energies, states=states, pot=pot, x=coords[trap.x],y=coords[trap.y],z=coords[trap.z])" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\naeve\\AppData\\Local\\Temp\\ipykernel_18084\\1341043005.py:34: MatplotlibDeprecationWarning: The collections attribute was deprecated in Matplotlib 3.8 and will be removed in 3.10.\n", " for c in contour.collections:\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Generate spatial grid\n", "x = np.linspace(*extend[0], n_pot_steps[0])\n", "y = np.linspace(*extend[1], n_pot_steps[1])\n", "z = np.linspace(*extend[2], n_pot_steps[2])\n", "\n", "x3D, y3D, z3D = np.meshgrid(x, y, z,indexing=\"ij\") # Ensure correct indexing\n", "\n", "# Compute potential (Replace with actual function)\n", "pot = potential(x3D, y3D, z3D)\n", "\n", "state_number = 3\n", "\n", "# Create figure and axis\n", "fig, ax = plt.subplots()\n", "im = ax.imshow(states[state_number, :, :, 0], extent=[*extend[1], *extend[0]], origin=\"lower\",\n", " vmin=np.min(states[state_number]), vmax=np.max(states[state_number]))\n", "\n", "plt.xlabel(\"y\")\n", "plt.ylabel(\"x\")\n", "plt.colorbar(im)\n", "\n", "# Initialize contour as None before defining it globally\n", "contour = None\n", "\n", "# Animation update function\n", "def update(frame):\n", " global contour # Ensure we're modifying the global variable\n", "\n", " im.set_data(states[state_number, :, :, frame]) # Update image data\n", " ax.set_title(f\"z={z[frame]/si.um:.3f}um\") # Update title\n", "\n", " # Remove old contours if they exist\n", " if contour is not None:\n", " for c in contour.collections:\n", " c.remove()\n", "\n", " # Redraw contour plot\n", " contour = ax.contour(pot[:, :, frame], levels=10, colors='white', linewidths=0.7, extent=[*extend[1], *extend[0]])\n", "\n", "# Create the first contour plot after defining update()\n", "contour = ax.contour(pot[:, :, 0], levels=10, colors='white', linewidths=0.7, extent=[*extend[1], *extend[0]])\n", "\n", "# Create animation\n", "frames = n_pot_steps[2] # Number of slices\n", "ani = animation.FuncAnimation(fig, update, frames=frames, interval=100)\n", "\n", "ani.save(f\"animations/state{state_number}.gif\", writer=\"pillow\", fps=10) # Save as GIF\n", "\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle \\frac{2 P_{t1} e^{\\frac{- 2 y^{2} - 2 \\left(\\frac{d_{t}}{2} + x\\right)^{2}}{W_{t1}^{2} \\left(1 + \\frac{\\lambda^{2} z^{2}}{\\pi^{2} W_{t1}^{4}}\\right)}}}{\\pi W_{t1}^{2} \\left(1 + \\frac{\\lambda^{2} z^{2}}{\\pi^{2} W_{t1}^{4}}\\right)} + \\frac{2 P_{t2} e^{\\frac{- 2 y^{2} - 2 \\left(- \\frac{d_{t}}{2} + x\\right)^{2}}{W_{t2}^{2} \\left(1 + \\frac{\\lambda^{2} z^{2}}{\\pi^{2} W_{t2}^{4}}\\right)}}}{\\pi W_{t2}^{2} \\left(1 + \\frac{\\lambda^{2} z^{2}}{\\pi^{2} W_{t2}^{4}}\\right)}$" ], "text/plain": [ "2*P_t1*exp((-2*y**2 - 2*(d_t/2 + x)**2)/(W_t1**2*(1 + lambda**2*z**2/(pi**2*W_t1**4))))/(pi*W_t1**2*(1 + lambda**2*z**2/(pi**2*W_t1**4))) + 2*P_t2*exp((-2*y**2 - 2*(-d_t/2 + x)**2)/(W_t2**2*(1 + lambda**2*z**2/(pi**2*W_t2**4))))/(pi*W_t2**2*(1 + lambda**2*z**2/(pi**2*W_t2**4)))" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "trap.get_total_intensity(with_2dtrap=False)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.loglog(np.array([20**3,30**3,40**3]),np.array([1.1,13.4,101]))\n", "plt.xlim(5*10**3,10**5)\n", "plt.xlabel(\"n_pot_steps\")\n", "plt.ylabel(\"time\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## This is quite expensive. Let's try individual components." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Make animations with this script:" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\naeve\\AppData\\Local\\Temp\\ipykernel_17932\\735623296.py:42: MatplotlibDeprecationWarning: The collections attribute was deprecated in Matplotlib 3.8 and will be removed in 3.10.\n", " for c in contour.collections:\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "\n", "data = np.load(\"test_3D_50_50_50.npz\")\n", "\n", "for key in data.keys():\n", " globals()[key] = data[key]\n", "\n", "x3D, y3D, z3D = np.meshgrid(x, y, z) # Ensure correct indexing\n", "\n", "extend = [(x.min(),x.max()),\n", " (y.min(),y.max()),\n", " (z.min(),z.max())]\n", "\n", "n_pot_steps = [len(x),len(y),len(z)]\n", "\n", "state_number = 0\n", "\n", "# Create figure and axis\n", "fig, ax = plt.subplots()\n", "im = ax.imshow(states[state_number, :, :, 0], extent=[*extend[0], *extend[1]], origin=\"lower\",\n", " vmin=np.min(states[state_number]), vmax=np.max(states[state_number]))\n", "\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"y\")\n", "plt.colorbar(im)\n", "\n", "# Initialize contour as None before defining it globally\n", "contour = None\n", "\n", "# Animation update function\n", "def update(frame):\n", " global contour # Ensure we're modifying the global variable\n", "\n", " im.set_data(states[state_number, :, :, frame]) # Update image data\n", " ax.set_title(f\"z={z[frame]/si.um:.3f}um\") # Update title\n", "\n", " # Remove old contours if they exist\n", " if contour is not None:\n", " for c in contour.collections:\n", " c.remove()\n", "\n", " # Redraw contour plot\n", " contour = ax.contour(pot[:, :, frame], levels=10, colors='white', linewidths=0.7, extent=[*extend[0], *extend[1]])\n", "\n", "# Create the first contour plot after defining update()\n", "contour = ax.contour(pot[:, :, 0], levels=10, colors='white', linewidths=0.7, extent=[*extend[0], *extend[1]])\n", "\n", "# Create animation\n", "frames = n_pot_steps[2] # Number of slices\n", "ani = animation.FuncAnimation(fig, update, frames=frames, interval=100)\n", "\n", "ani.save(f\"animations/state{state_number}.gif\", writer=\"pillow\", fps=10) # Save as GIF\n", "\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "base", "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": 4 }