LennartNaeve_code/merging_tweezer_code/fermions/merging4 (energy gaps).ipynb
2025-04-25 20:52:11 +02:00

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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"from helpers_merging import *\n",
"\n",
"initial_power = 100* 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*1.04583875, #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"
]
},
{
"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": [
"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=1000,plot=True,ret_results=False)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"crossover of states [[2 3]] at 1.52um\n",
"crossover of states [[0 1]] at 1.41um\n",
"crossover of top state at 1.30um\n",
"crossover of top state at 1.30um\n",
"crossover of top state at 1.32um\n",
"crossover of top state at 1.33um\n",
"crossover of states [[1 2]] at 1.32um\n",
"crossover of states [[3 4]] at 1.41um\n",
"crossover of states [[1 2]] at 1.40um\n",
"crossover of states [[1 2]] at 1.53um\n",
"crossover of states [[3 4]] at 1.52um\n",
"crossover of states [[1 2]] at 1.75um\n",
"crossover of states [[3 4]] at 1.70um\n",
"crossover of states [[2 3]] at 1.36um\n",
"crossover of states [[2 3]] at 1.41um\n",
"crossover of states [[2 3]] at 1.47um\n",
"crossover of top state at 1.46um\n",
"crossover of states [[2 3]] at 1.54um\n",
"crossover of top state at 1.52um\n",
"crossover of states [[2 3]] at 1.63um\n",
"crossover of top state at 1.61um\n",
"crossover of states [[2 3]] at 1.75um\n",
"crossover of top state at 1.71um\n",
"crossover of states [[2 3]] at 1.99um\n",
"crossover of top state at 1.88um\n",
"crossover of top state at 1.11um\n",
"crossover of top state at 1.29um\n",
"crossover of top state at 1.11um\n",
"crossover of top state at 1.29um\n",
"crossover of top state at 1.10um\n",
"crossover of top state at 1.30um\n",
"crossover of states [[3 4]] at 1.39um\n",
"crossover of states [[3 4]] at 1.42um\n",
"crossover of states [[3 4]] at 1.46um\n",
"crossover of states [[3 4]] at 1.50um\n"
]
}
],
"source": [
"power2_factors = np.linspace(1+1e-5,1.2,75)\n",
"deltaEs = np.zeros_like(power2_factors)\n",
"occ_numbers = np.zeros((len(power2_factors),2))\n",
"\n",
"for i, pow in enumerate(power2_factors):\n",
" trap[trap.power_tweezer2] = initial_power*pow\n",
"\n",
" distances = np.linspace(initial_distance,0*si.um,500)\n",
" energies, states, potentials = loop_distances(trap, distances,n_levels=5,n_pot_steps=2000)\n",
"\n",
" new_energies, new_states, new_potentials, index_top, index, swap_index = swapped_loop_distance(distances, energies, states, potentials)\n",
" energies_left, energies_right, states_left, states_right,deltaE_min, occ_num = find_ass_tweezer(new_energies,new_states)\n",
"\n",
" deltaEs[i] = deltaE_min\n",
" occ_numbers[i] = occ_num"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x202e0321100>]"
]
},
"execution_count": 10,
"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(initial_power*power2_factors/si.uW, deltaEs)\n",
"#plt.ylim(0,1e-3)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x202e1532e70>]"
]
},
"execution_count": 5,
"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(initial_power*power2_factors/si.uW, occ_numbers[:,1],\"o\")\n"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(distances/si.um,energies_left,color=\"blue\",label=\"left tweezer\")\n",
"plt.plot(distances/si.um,energies_right,color=\"red\",label=\"right tweezer\")\n",
"\n",
"for i, ind in enumerate(index):\n",
" plt.axvline(distances[ind]/si.um,color=\"k\",alpha=0.7,label=\"energy crossings\")\n",
"\n",
"#plt.xlim(1.2,1.4)\n",
"#plt.ylim(-1.75e-29,-1.3e-29)\n",
"#plt.axhline(-1.55e-29)\n",
"#plt.axhline(-1.55e-29+delta_E_min)\n",
"\n",
"handles, labels = plt.gca().get_legend_handles_labels()\n",
"unique_labels = dict(zip(labels, handles)) # Remove duplicates\n",
"plt.legend(unique_labels.values(), unique_labels.keys())\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"----------------"
]
},
{
"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,n_levels=5)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"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(len(energies[0])):\n",
" #differentiate states that are coming from right and left tweezer\n",
" if np.sum(states[0,i,:int(states.shape[2]/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(1.8,2.3)\n",
"#plt.ylim(-1.7e-29,-1.2e-29)\n",
"\n",
"plt.grid()\n",
"#plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"crossover of top state at 1.30um\n"
]
}
],
"source": [
"new_energies, new_states, new_potentials, index_top, index, swap_index = swapped_loop_distance(distances, energies, states, potentials)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"2.4799128624867176e-31\n",
"[0 1]\n"
]
}
],
"source": [
"#seperate energies and states corresponding to the initial tweezer they belonged to\n",
"mask_right = np.where(np.sum(new_states[0,:,:int(new_states.shape[2]/2)]**2,axis=1) < 0.5,True, False)\n",
"mask_left = np.logical_not(mask_right)\n",
"\n",
"energies_right = new_energies[:,mask_right]\n",
"energies_left = new_energies[:,mask_left]\n",
"\n",
"states_right = new_states[:,mask_right,:]\n",
"states_left = new_states[:,mask_left,:]\n",
"\n",
"#identify GS of shallower tweezer and calculated minimal energy difference to other states\n",
"if mask_left[np.nanargmin(new_energies[0])]:\n",
" energy_GS = energies_right[:,0]\n",
" state_GS = states_right[:,0]\n",
" #smallest energy difference\n",
" delta_E_min = np.nanmin(np.abs(energy_GS[:,np.newaxis] - energies_left))\n",
" #final occupation if two GS are involved\n",
" occ_numbers = np.array([0,np.searchsorted(energies_left[-1],energy_GS[-1])])\n",
"else:\n",
" energy_GS = energies_left[:,0]\n",
" state_GS = states_left[:,0]\n",
" #smallest energy difference\n",
" delta_E_min = np.nanmin(np.abs(energy_GS[:,np.newaxis] - energies_right))\n",
" #final occupation if two GS are involved\n",
" occ_numbers = np.array([0,np.searchsorted(energies_right[-1],energy_GS[-1])])\n",
"\n",
"print(delta_E_min)\n",
"print(occ_numbers)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(distances/si.um,energies_left,color=\"blue\",label=\"left tweezer\")\n",
"plt.plot(distances/si.um,energies_right,color=\"red\",label=\"right tweezer\")\n",
"\n",
"for i, ind in enumerate(index):\n",
" plt.axvline(distances[ind]/si.um,color=\"k\",alpha=0.7,label=\"energy crossings\")\n",
"\n",
"#plt.xlim(1.2,1.4)\n",
"#plt.ylim(-1.75e-29,-1.3e-29)\n",
"#plt.axhline(-1.55e-29)\n",
"#plt.axhline(-1.55e-29+delta_E_min)\n",
"\n",
"handles, labels = plt.gca().get_legend_handles_labels()\n",
"unique_labels = dict(zip(labels, handles)) # Remove duplicates\n",
"plt.legend(unique_labels.values(), unique_labels.keys())\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"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
}