{ "cells": [ { "cell_type": "code", "execution_count": 187, "metadata": {}, "outputs": [], "source": [ "from helpers_merging import *\n", "\n", "initial_power = 50* si.uW\n", "initial_waist = 1.1*si.uW\n", "initial_distance = 3*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*1.18, #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", "\n", "x, y, z = trap.x, trap.y, trap.z\n", "\n" ] }, { "cell_type": "code", "execution_count": 188, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "left_cutoff = -0.5*initial_distance-3*np.max([float(trap.subs(trap.waist_tweezer1)),float(trap.subs(trap.waist_tweezer2))])\n", "right_cutoff = 0.5*initial_distance+3*np.max([float(trap.subs(trap.waist_tweezer1)),float(trap.subs(trap.waist_tweezer2))])\n", "\n", "trap[trap.distance_tweezers] = initial_distance\n", "plot_solutions(trap,7,left_cutoff,right_cutoff,display_plot=-1,state_mult=40,n_pot_steps=2000,plot=True,ret_results=False)" ] }, { "cell_type": "code", "execution_count": 194, "metadata": {}, "outputs": [], "source": [ "distances = np.linspace(initial_distance,0*si.um,500)\n", "energies, states, potentials = loop_distances(trap, distances,n_levels=10)" ] }, { "cell_type": "code", "execution_count": 195, "metadata": {}, "outputs": [], "source": [ "index_top = find_crossovers_topstate(energies)" ] }, { "cell_type": "code", "execution_count": 196, "metadata": {}, "outputs": [], "source": [ "index, swap_index = find_crossovers(energies)" ] }, { "cell_type": "code", "execution_count": 197, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[,\n", " ,\n", " ,\n", " ,\n", " ,\n", " ,\n", " ,\n", " ,\n", " ,\n", " ]" ] }, "execution_count": 197, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "prob_left = np.sum(states[:,:,:int(len(states[0,0])/2)]**2,axis=2)\n", "diff = np.abs(np.gradient(prob_left,axis=0))\n", "plt.plot(prob_left)" ] }, { "cell_type": "code", "execution_count": 174, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'n_levels = len(energies[0,:])\\nindex = np.array([],dtype=int)\\nswap_index =np.empty((0,2),dtype=int)\\n \\nfor i in range(n_levels):\\n for j in range(i+1,n_levels):\\n diff = np.abs(energies[:,i] - energies[:,j])\\n plt.plot(-diff)\\n #mask = np.where(diff < 5e-2*(np.max(diff)-np.min(diff)),diff,5e-2*(np.max(diff)-np.min(diff)))\\n #plt.plot(mask,color=\"k\")\\n peaks = find_peaks(-diff,height=(-1e-33,0))[0]\\n index = np.append(index,peaks)\\n for k in range(len(peaks)):\\n swap_index = np.append(swap_index,[[i,j]],axis=0)'" ] }, "execution_count": 174, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\"\"\"n_levels = len(energies[0,:])\n", "index = np.array([],dtype=int)\n", "swap_index =np.empty((0,2),dtype=int)\n", " \n", "for i in range(n_levels):\n", " for j in range(i+1,n_levels):\n", " diff = np.abs(energies[:,i] - energies[:,j])\n", " plt.plot(-diff)\n", " #mask = np.where(diff < 5e-2*(np.max(diff)-np.min(diff)),diff,5e-2*(np.max(diff)-np.min(diff)))\n", " #plt.plot(mask,color=\"k\")\n", " peaks = find_peaks(-diff,height=(-1e-33,0))[0]\n", " index = np.append(index,peaks)\n", " for k in range(len(peaks)):\n", " swap_index = np.append(swap_index,[[i,j]],axis=0)\"\"\"" ] }, { "cell_type": "code", "execution_count": 175, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[17 24 29 34 37 43]\n", "[359 351 342]\n", "[[2 3]\n", " [4 5]\n", " [6 7]]\n" ] } ], "source": [ "print(index_top)\n", "print(index)\n", "print(swap_index)" ] }, { "cell_type": "code", "execution_count": 176, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'arr = np.abs(np.gradient(np.gradient(energies[:,-1])))\\nplt.plot(arr)\\nindex = find_peaks(arr,width=(1,4))[0]\\nfor i,ind in enumerate(index):\\n plt.axvline(ind,color=\"k\",alpha=0.7)'" ] }, "execution_count": 176, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\"\"\"arr = np.abs(np.gradient(np.gradient(energies[:,-1])))\n", "plt.plot(arr)\n", "index = find_peaks(arr,width=(1,4))[0]\n", "for i,ind in enumerate(index):\n", " plt.axvline(ind,color=\"k\",alpha=0.7)\"\"\"" ] }, { "cell_type": "code", "execution_count": 177, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "crossover of top state at 4.83um\n", "crossover of top state at 4.76um\n", "crossover of top state at 4.71um\n", "crossover of top state at 4.66um\n", "crossover of top state at 4.63um\n", "crossover of top state at 4.57um\n", "crossover of states [[6 7]] at 1.57um\n", "crossover of states [[4 5]] at 1.48um\n", "crossover of states [[2 3]] at 1.40um\n" ] } ], "source": [ "new_energies = np.full((energies.shape[0],energies.shape[1]+len(index_top)),np.nan)\n", "new_states = np.full((states.shape[0],states.shape[1]+len(index_top),states.shape[2]),np.nan)\n", "\n", "swapped_index = np.arange(0,energies.shape[1])\n", "for i, dist in enumerate(distances): \n", " if np.any(i == index):\n", " j = np.where(index == i)\n", " swapped_index[swap_index[j]] = swapped_index[np.roll(swap_index[j],1)]\n", " print(f\"crossover of states {swap_index[j]} at {dist/si.um:.2f}um\")\n", " \n", " elif np.any(i == index_top):\n", " print(f\"crossover of top state at {dist/si.um:.2f}um\")\n", " swapped_index[-1] = np.max(swapped_index)+1\n", " \n", " \n", " new_energies[i,swapped_index] = energies[i]\n", " new_states[i,swapped_index] = states[i]" ] }, { "cell_type": "code", "execution_count": 178, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#plot eigenenergies\n", "plt.axvline(float(trap.subs(trap.waist_tweezer1))/si.um, color=\"black\",label=\"tweezer waist\")\n", "for i in range(len(new_energies[0])):\n", " #differentiate states that are coming from right and left tweezer\n", " if np.sum(new_states[0,i,:int(new_states.shape[2]/2)]**2) < 0.5:\n", " plt.plot(distances/si.um,new_energies[:,i],color=\"red\",label=f\"state {i}\")\n", " else:\n", " plt.plot(distances/si.um,new_energies[:,i],color=\"blue\",label=f\"state {i}\")\n", "\n", "plt.title(\"Eigenenergies of lowest states at different tweezer distances\")\n", "plt.xlabel(\"tweezer distance [um]\")\n", "plt.ylabel(\"energy [a.u.]\")\n", "#plt.xlim(1.1,2.7)\n", "#plt.ylim(-4.0e-29,-1.5e-29)\n", "\n", "plt.grid()\n", "#plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 179, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#plot eigenenergies\n", "plt.axvline(float(trap.subs(trap.waist_tweezer1))/si.um, color=\"black\",label=\"tweezer waist\")\n", "for i in range(len(new_energies[0])):\n", " if np.any(i == np.arange(len(new_energies[0]))[0:20]):\n", " plt.plot(distances/si.um,new_energies[:,i],label=f\"state {i}\")\n", "\n", "plt.title(\"Eigenenergies of lowest states at different tweezer distances\")\n", "plt.xlabel(\"tweezer distance [um]\")\n", "plt.ylabel(\"energy [a.u.]\")\n", "#plt.xlim(1.1,2.7)\n", "#plt.ylim(-4.0e-29,-1.5e-29)\n", "\n", "plt.grid()\n", "#plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "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": "3.12.7" } }, "nbformat": 4, "nbformat_minor": 2 }