LennartNaeve_code/merging_tweezer_code/fermions/merging2 (different powers).ipynb
2025-04-25 20:52:11 +02:00

457 lines
354 KiB
Plaintext

{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Analyse what happens with different powers\n",
"\n",
"## Now we have to deal with levels crossing over"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"from sympy.functions.special.error_functions import erf\n",
"from fewfermions.simulate.numerics import discrete_hamiltonian\n",
"from scipy import sparse\n",
"\n",
"from helpers_merging import *\n",
"\n",
"initial_power = 50* si.uW\n",
"initial_waist = 1.1*si.uW\n",
"initial_distance = 4*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*4, #transfer tweezer\n",
" waist_tweezer1 = initial_waist, #stationary\n",
" waist_tweezer2 = initial_waist*2, #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",
"left_cutoff = -0.5*initial_distance-3*float(trap.subs(trap.waist_tweezer1))\n",
"right_cutoff = 0.5*initial_distance+3*float(trap.subs(trap.waist_tweezer2))\n",
"\n",
"x, y, z = trap.x, trap.y, trap.z"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 500x500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"trap[trap.distance_tweezers] = 2.1*si.um#initial_distance\n",
"plot_solutions(trap,7,left_cutoff,right_cutoff,display_plot=5,state_mult=40,n_pot_steps=2000,plot=True,ret_results=False)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"check_crossover = False\n",
"n_levels=6\n",
"n_pot_steps=2000\n",
"crossover_thresh = 0.3\n",
"x_np = np.linspace(left_cutoff,right_cutoff,n_pot_steps)\n",
"\n",
"distances = np.linspace(initial_distance,0*si.um,500)\n",
"energies = np.zeros((len(distances),n_levels))\n",
"states = np.zeros((len(distances),n_levels,n_pot_steps))\n",
"potential = np.zeros((len(distances),n_pot_steps))\n",
"\n",
"#inititalise arrays for swapping in case of crossover\n",
"swapped_index = np.arange(n_levels)\n",
"#diagonalise hamiltonian for all distances\n",
"for i, dist in enumerate(distances):\n",
" trap[trap.distance_tweezers] = dist\n",
" num, ener, state, pot = plot_solutions(trap,n_levels,np.min(x_np),np.max(x_np),display_plot=0,state_mult=450,n_pot_steps=n_pot_steps,plot=False,ret_results=True)\n",
" \n",
" if check_crossover:\n",
" # check if there was a crossing of energies\n",
" if i==0:\n",
" prob_left = np.sum(state[:,:int(n_pot_steps/2)]**2,axis=1)\n",
" prob_left_new = np.sum(state[:,:int(n_pot_steps/2)]**2,axis=1)\n",
" #create list of indices to swap\n",
" if np.any(np.abs(prob_left - prob_left_new) > crossover_thresh):\n",
" swap_index = np.where(np.abs(prob_left - prob_left_new)[swapped_index] > crossover_thresh)[0]\n",
" print(f\"crossover of states {swap_index} at {dist/si.um:.2f}um\")\n",
" \"\"\"\n",
" if np.sum(np.abs(prob_left - prob_left_new) > crossover_thresh)==1:\n",
" #deal with crossover with state that is not calculated\n",
" swapped_index = np.append(swapped_index,swap_index[0])\n",
" energies = np.concatenate((energies,np.full((len(distances), 1), np.nan)),axis=1)\n",
" swapped_index = np.delete(swapped_index,swap_index)\n",
" #raise Exception('Crossover with state \"n_levels\". Add that level as well.')\"\"\"\n",
" if np.sum(np.abs(prob_left - prob_left_new) > crossover_thresh)==2:\n",
" swapped_index[swap_index] = swapped_index[np.roll(swap_index,1)]\n",
"\n",
" print(swapped_index)\n",
" \n",
" #swap entries for energes and states\n",
" ener = ener[swapped_index]\n",
" state = state[swapped_index]\n",
" #update prob_left for next loop\n",
" prob_left = np.copy(prob_left_new)\n",
"\n",
" # fill in arrays\n",
" energies[i,:len(ener)] = ener\n",
" states[i,:len(ener)] = state\n",
" potential[i] = pot(x_np)\n",
"\n",
"\n",
"#plot eigenenergies\n",
"plt.axvline(float(trap.subs(trap.waist_tweezer1))/si.um, color=\"black\",label=\"tweezer waist\")\n",
"for i in range(n_levels):\n",
" plt.plot(distances/si.um,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": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"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(n_levels):\n",
" #differentiate states that are coming from right and left tweezer\n",
" if np.sum(states[0,i,:int(n_pot_steps/2)]**2) < 0.5:\n",
" plt.plot(distances/si.um,energies[:,i],color=\"red\",label=f\"state {i}\")\n",
" else:\n",
" plt.plot(distances/si.um,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(0.8,2.3)\n",
"#plt.ylim(-1.2e-28,-0.7e-28)\n",
"\n",
"plt.grid()\n",
"#plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(500,)"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.sum(states[:,:,:int(n_pot_steps/2)]**2,axis=2)[:,i].shape"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(2000,)"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x_np.shape"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"from scipy.signal import find_peaks"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[ 1 118 121 181 333]\n",
"[ 1 118 121 203 206 319]\n",
"[ 1 172 174 178 203 206 238 241 299]\n",
"[ 1 112 114 172 174 220 222 238 241 262 264 278]\n",
"[ 1 112 114 197 199 220 222 248 250 262 264 279 282 376]\n",
"[ 1 165 168 175 197 199 232 234 248 250 267 270 279 282 297]\n"
]
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"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(n_levels):\n",
" #plt.plot(energies[:,i])\n",
" #plt.plot(distances/si.um,energies[:,i],label=f\"state {i}\")\n",
" #plt.plot(np.sum(states[:,:,:int(n_pot_steps/2)]**2,axis=2)[:,i],label=f\"state {i}\")\n",
" #plt.plot(np.gradient(np.sum(states[:,:,:int(n_pot_steps/2)]**2,axis=2)[:,i]),label=f\"state {i}\")\n",
" #grad = np.abs(np.diff(np.sum(states[:,:,:int(n_pot_steps/2)]**2,axis=2)[:,i]))\n",
" grad = np.abs(np.gradient(np.gradient(np.gradient(energies[:,i]))))\n",
" plt.plot(grad)\n",
" index = find_peaks(grad)[0]\n",
" print(index)\n",
" for j, ind in enumerate(index):\n",
" plt.axvline(ind,alpha=0.8)\n",
" #plt.plot(distances/si.um,np.sum(np.gradient(states,axis=0),axis=2)[:,i])\n",
" #plt.plot(distances/si.um,np.gradient(np.gradient(np.gradient(energies[:,i]))))\n",
"\n",
"\n",
"\n",
"plt.xlabel(\"tweezer distance [um]\")\n",
"plt.ylabel(\"probability to be on left half [a.u.]\")\n",
"#plt.xlim(220,330)\n",
"#plt.ylim(0,1e-3)\n",
"\n",
"\n",
"plt.grid()\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[120]\n",
"[]\n",
"[]\n",
"[]\n",
"[]\n",
"[204]\n",
"[]\n",
"[]\n",
"[]\n",
"[173 240]\n",
"[]\n",
"[]\n",
"[113 221 263]\n",
"[]\n",
"[198 249 280]\n"
]
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#plot eigenenergies\n",
"for i in range(n_levels):\n",
" plt.plot(energies[:,i])\n",
" for j in range(i+1,n_levels):\n",
" diff = np.abs(energies[:,i] - energies[:,j])\n",
"\n",
" mask = np.where(diff < 1e-1*np.max(diff),diff,1e-1*np.max(diff))\n",
" #plt.plot(mask)\n",
" index = find_peaks(-mask)[0]\n",
" print(index)\n",
" for k, ind in enumerate(index):\n",
" plt.axvline(ind,alpha=0.8)\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"distances = np.linspace(initial_distance,0*si.um,500)\n",
"energies, states, potentials = loop_distances(trap, distances)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x1970c81f920>]"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(energies[:,-1])"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x19708f3a000>]"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"arr = np.abs(np.gradient(np.gradient(energies[:,-1])))\n",
"index = find_peaks(arr,width=(1,4))[0]\n",
"for i, ind in enumerate(index):\n",
" plt.axvline(ind,color=\"k\",alpha=0.5)\n",
"plt.plot(energies[:,-1])"
]
},
{
"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
}