1450 lines
1.0 MiB
1450 lines
1.0 MiB
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"### We can match the tweezer depths for a given difference in waist, but need to apply an offset to the power to be in the no-crossover regime. Here I want to find what the best value for that offset is."
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"from helpers_merging import *\n",
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"\n",
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"initial_power = 50* si.uW\n",
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"initial_waist = 1.1*si.uW\n",
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"initial_distance = 3*si.um\n",
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"\n",
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"trap: DoubleTweezer = DoubleTweezer(\n",
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" power=0, # Set pancake laser power to 0, no 2D trap\n",
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" grad_z= 0*si.G/si.cm,\n",
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" grad_r=0,\n",
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" power_tweezer1 = initial_power, #stationary\n",
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" power_tweezer2 = initial_power, #transfer tweezer\n",
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" waist_tweezer1 = initial_waist, #stationary\n",
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" waist_tweezer2 = initial_waist*1.075, #transfer tweezer\n",
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" distance_tweezers = initial_distance,\n",
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"\n",
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" a=180*(4 * np.pi * const.epsilon_0 * const.value(\"Bohr radius\")**3)/(2 * const.epsilon_0 * const.c),\n",
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" wvl = 532 * si.nm,\n",
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"\n",
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" g = 0,\n",
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")\n",
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"\n",
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"x, y, z = trap.x, trap.y, trap.z"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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",
|
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"text/plain": [
|
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"<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] = 0.55*initial_distance\n",
|
|
"trap[trap.power_tweezer2] = initial_power*2.5\n",
|
|
"trap[trap.waist_tweezer2] = initial_waist*1.5\n",
|
|
"plot_solutions(trap,4,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": [],
|
|
"source": [
|
|
"def get_deltaE(power_tweezer1, power_tweezer2, waist_tweezer1, waist_tweezer2,\n",
|
|
" n_levels=10,n_pot_steps=2000, initial_distance=4*si.um, plot=True):\n",
|
|
" \"\"\"\n",
|
|
" Returns the minimal energy gap and occupation numbers of the groundstate when the two tweezers merge.\n",
|
|
" \"\"\"\n",
|
|
" trap[trap.power_tweezer1] = power_tweezer1\n",
|
|
" trap[trap.power_tweezer2] = power_tweezer2\n",
|
|
" trap[trap.waist_tweezer1] = waist_tweezer1\n",
|
|
" trap[trap.waist_tweezer2] = waist_tweezer2\n",
|
|
"\n",
|
|
" distances = np.linspace(initial_distance,0*si.um,500) #always has to have smallest distance at last index\n",
|
|
" energies, states, potentials = loop_distances(trap, distances,n_levels=n_levels,n_pot_steps=n_pot_steps)\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 = find_ass_tweezer(new_energies,new_states, return_deltaE=False)\n",
|
|
"\n",
|
|
" if len(index)!=0:\n",
|
|
" deltaE_min = 0\n",
|
|
" print(\"crossover\")\n",
|
|
" else:\n",
|
|
" deltaE_min = np.inf\n",
|
|
" for i in range(energies_left.shape[1]):\n",
|
|
" for j in range(energies_right.shape[1]):\n",
|
|
" row_diff = np.nanmin(np.abs(energies_left[:,i] - energies_right[:,j]))\n",
|
|
" if row_diff<deltaE_min:\n",
|
|
" deltaE_min = row_diff\n",
|
|
" i_min, j_min = i,j\n",
|
|
" print(f\"closest approach between states: left:{i_min}, right:{j_min}\")\n",
|
|
"\n",
|
|
" if plot:\n",
|
|
" # Create the figure with two subplots (1 row, 2 columns)\n",
|
|
" fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(8, 4))\n",
|
|
"\n",
|
|
" # Plot the full range on ax1\n",
|
|
" \"\"\"\n",
|
|
" ax1.plot(distances/si.um, energies_left[:, 0], color=\"red\", label=\"GS left tweezer\")\n",
|
|
" ax1.plot(distances/si.um, energies_right[:, 0], color=\"blue\", label=\"GS right tweezer\")\n",
|
|
" ax1.plot(distances/si.um, energies_left[:, 1:], color=\"red\", linestyle=\"dotted\", label=\"left tweezer\")\n",
|
|
" ax1.plot(distances/si.um, energies_right[:, 1:], color=\"blue\", linestyle=\"dotted\", label=\"right tweezer\")\"\"\"\n",
|
|
" ax1.plot(distances/si.um, energies_left[:], color=\"red\", label=\"left tweezer\")\n",
|
|
" ax1.plot(distances/si.um, energies_right[:], color=\"blue\", label=\"right tweezer\")\n",
|
|
"\n",
|
|
" for i, ind in enumerate(index):\n",
|
|
" ax1.axvline(distances[ind]/si.um, color=\"k\", alpha=0.7, label=\"energy crossings\")\n",
|
|
"\n",
|
|
" ax1.set_xlabel(\"Tweezer distance [um]\")\n",
|
|
" ax1.set_ylabel(\"Eigenenergy [a.u.]\")\n",
|
|
" ax1.set_title(fr\"$p_l={float(trap.subs(trap.power_tweezer1))/si.uW:.1f}$ uW, $p_r={float(trap.subs(trap.power_tweezer2))/si.uW:.1f}$ uW, $w_l={float(trap.subs(trap.waist_tweezer1))/si.um:.3f}$ um, $w_r={float(trap.subs(trap.waist_tweezer2))/si.um:.3f}$ um\")\n",
|
|
" ax1.grid()\n",
|
|
"\n",
|
|
" # Plot the zoomed-in range (1 to 1.5 µm) on ax2\n",
|
|
" \"\"\"\n",
|
|
" ax2.plot(distances/si.um, energies_left[:, 0], color=\"red\", label=\"GS left tweezer\")\n",
|
|
" ax2.plot(distances/si.um, energies_right[:, 0], color=\"blue\", label=\"GS right tweezer\")\n",
|
|
" ax2.plot(distances/si.um, energies_left[:, 1:], color=\"red\", linestyle=\"dotted\", label=\"left tweezer\")\n",
|
|
" ax2.plot(distances/si.um, energies_right[:, 1:], color=\"blue\", linestyle=\"dotted\", label=\"right tweezer\")\"\"\"\n",
|
|
" ax2.plot(distances/si.um, energies_left[:], color=\"red\", label=\"left tweezer\")\n",
|
|
" ax2.plot(distances/si.um, energies_right[:], color=\"blue\", label=\"right tweezer\")\n",
|
|
"\n",
|
|
" for i, ind in enumerate(index):\n",
|
|
" ax2.axvline(distances[ind]/si.um, color=\"k\", alpha=0.7, label=\"energy crossings\")\n",
|
|
"\n",
|
|
" ax2.set_xlabel(\"Tweezer distance [um]\")\n",
|
|
" ax2.set_ylabel(\"Eigenenergy [a.u.]\")\n",
|
|
" ax2.set_title(\"Zoomed-in Region\")\n",
|
|
" ax2.set_xlim(0.7, 1) # Zooming in on the region between 1.0 and 1.5 µm\n",
|
|
" ax2.set_ylim(-7e-28,-5e-28)\n",
|
|
" ax2.grid()\n",
|
|
"\n",
|
|
" # Remove duplicates in the legend (labels that appear in both subplots)\n",
|
|
" handles, labels = ax1.get_legend_handles_labels()\n",
|
|
" unique_labels = dict(zip(labels, handles)) # Remove duplicates\n",
|
|
" ax1.legend(unique_labels.values(), unique_labels.keys())\n",
|
|
"\n",
|
|
" # Show the plots\n",
|
|
" plt.tight_layout()\n",
|
|
" plt.show()\n",
|
|
"\n",
|
|
" return deltaE_min"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"crossover\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 800x400 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"0\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"initial_power = 500*si.uW\n",
|
|
"initial_waist = 0.75*si.um\n",
|
|
"initial_distance = 2*si.um\n",
|
|
"\n",
|
|
"factor_waist2 = 1.025\n",
|
|
"\n",
|
|
"trap[trap.power_tweezer1] = initial_power\n",
|
|
"trap[trap.waist_tweezer1] = initial_waist\n",
|
|
"trap[trap.waist_tweezer2] = initial_waist*factor_waist2\n",
|
|
"\n",
|
|
"omega_r1 = sp.sqrt(2*trap.power_tweezer1*trap.a/sp.pi/trap.m)*2/trap.waist_tweezer1**2\n",
|
|
"omega_r2 = sp.sqrt(2*trap.power_tweezer2*trap.a/sp.pi/trap.m)*2/trap.waist_tweezer2**2\n",
|
|
"\n",
|
|
"#offset required for 1 level spacing of the left tweezer\n",
|
|
"power2_offset = sp.pi*trap.waist_tweezer2**2*const.hbar*omega_r1/2/trap.a\n",
|
|
"\n",
|
|
"#factor to match trap depth and offset by half(or another fraction of) the level spacing\n",
|
|
"power2_factor = factor_waist2**2 - 0.42*float(trap.subs(power2_offset))/initial_power\n",
|
|
"\n",
|
|
"deltaEs = get_deltaE(initial_power,initial_power*power2_factor,initial_waist,initial_waist*factor_waist2,n_levels=10)\n",
|
|
"\n",
|
|
"print(deltaEs)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 66,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"closest approach between states: left:4, right:4\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 800x400 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"2.1070827342779715e-32\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"factor_waist2 = 1.0\n",
|
|
"\n",
|
|
"trap[trap.power_tweezer1] = initial_power\n",
|
|
"trap[trap.waist_tweezer1] = initial_waist\n",
|
|
"trap[trap.waist_tweezer2] = initial_waist*factor_waist2\n",
|
|
"\n",
|
|
"omega_r1 = sp.sqrt(2*trap.power_tweezer1*trap.a/sp.pi/trap.m)*2/trap.waist_tweezer1**2\n",
|
|
"omega_r2 = sp.sqrt(2*trap.power_tweezer2*trap.a/sp.pi/trap.m)*2/trap.waist_tweezer2**2\n",
|
|
"\n",
|
|
"#offset required for 1 level spacing of the left tweezer\n",
|
|
"power2_offset = sp.pi*trap.waist_tweezer2**2*const.hbar*omega_r1/2/trap.a\n",
|
|
"\n",
|
|
"#factor to match trap depth and offset by half(or another fraction of) the level spacing\n",
|
|
"power2_factor = factor_waist2**2 - 0.02*float(trap.subs(power2_offset))/initial_power\n",
|
|
"\n",
|
|
"deltaEs = get_deltaE(initial_power,initial_power*power2_factor,initial_waist,initial_waist*factor_waist2,n_levels=10)\n",
|
|
"\n",
|
|
"print(deltaEs)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 63,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"closest approach between states: left:4, right:4\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 800x400 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"2.818007561261679e-31\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"factor_waist2 = 1.0\n",
|
|
"\n",
|
|
"trap[trap.power_tweezer1] = initial_power\n",
|
|
"trap[trap.waist_tweezer1] = initial_waist\n",
|
|
"trap[trap.waist_tweezer2] = initial_waist*factor_waist2\n",
|
|
"\n",
|
|
"omega_r1 = sp.sqrt(2*trap.power_tweezer1*trap.a/sp.pi/trap.m)*2/trap.waist_tweezer1**2\n",
|
|
"omega_r2 = sp.sqrt(2*trap.power_tweezer2*trap.a/sp.pi/trap.m)*2/trap.waist_tweezer2**2\n",
|
|
"\n",
|
|
"#offset required for 1 level spacing of the left tweezer\n",
|
|
"power2_offset = sp.pi*trap.waist_tweezer2**2*const.hbar*omega_r1/2/trap.a\n",
|
|
"\n",
|
|
"#factor to match trap depth and offset by half(or another fraction of) the level spacing\n",
|
|
"power2_factor = factor_waist2**2 - 0.3*float(trap.subs(power2_offset))/initial_power\n",
|
|
"\n",
|
|
"deltaEs = get_deltaE(initial_power,initial_power*power2_factor,initial_waist,initial_waist*factor_waist2,n_levels=10)\n",
|
|
"\n",
|
|
"print(deltaEs)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 120,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"closest approach between states: left:1, right:0\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 800x400 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"1.9577544578567123e-32\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"factor_waist2 = 1.1\n",
|
|
"\n",
|
|
"trap[trap.power_tweezer1] = initial_power\n",
|
|
"trap[trap.waist_tweezer1] = initial_waist\n",
|
|
"trap[trap.waist_tweezer2] = initial_waist*factor_waist2\n",
|
|
"\n",
|
|
"omega_r1 = sp.sqrt(2*trap.power_tweezer1*trap.a/sp.pi/trap.m)*2/trap.waist_tweezer1**2\n",
|
|
"omega_r2 = sp.sqrt(2*trap.power_tweezer2*trap.a/sp.pi/trap.m)*2/trap.waist_tweezer2**2\n",
|
|
"\n",
|
|
"#offset required for 1 level spacing of the left tweezer\n",
|
|
"power2_offset = sp.pi*trap.waist_tweezer2**2*const.hbar*omega_r1/2/trap.a\n",
|
|
"\n",
|
|
"#factor to match trap depth and offset by half(or another fraction of) the level spacing\n",
|
|
"power2_factor = factor_waist2**2 - 0.5*float(trap.subs(power2_offset))/initial_power\n",
|
|
"\n",
|
|
"deltaEs = get_deltaE(initial_power,initial_power*power2_factor,initial_waist,initial_waist*factor_waist2,n_levels=10)\n",
|
|
"\n",
|
|
"print(deltaEs)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 121,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"closest approach between states: left:1, right:0\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 800x400 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"3.2369169874679794e-31\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"factor_waist2 = 1.\n",
|
|
"\n",
|
|
"trap[trap.power_tweezer1] = initial_power\n",
|
|
"trap[trap.waist_tweezer1] = initial_waist\n",
|
|
"trap[trap.waist_tweezer2] = initial_waist*factor_waist2\n",
|
|
"\n",
|
|
"omega_r1 = sp.sqrt(2*trap.power_tweezer1*trap.a/sp.pi/trap.m)*2/trap.waist_tweezer1**2\n",
|
|
"omega_r2 = sp.sqrt(2*trap.power_tweezer2*trap.a/sp.pi/trap.m)*2/trap.waist_tweezer2**2\n",
|
|
"\n",
|
|
"#offset required for 1 level spacing of the left tweezer\n",
|
|
"power2_offset = sp.pi*trap.waist_tweezer2**2*const.hbar*omega_r1/2/trap.a\n",
|
|
"\n",
|
|
"#factor to match trap depth and offset by half(or another fraction of) the level spacing\n",
|
|
"power2_factor = factor_waist2**2 - 0.5*float(trap.subs(power2_offset))/initial_power\n",
|
|
"\n",
|
|
"deltaEs = get_deltaE(initial_power,initial_power*power2_factor,initial_waist,initial_waist*factor_waist2,n_levels=10)\n",
|
|
"\n",
|
|
"print(deltaEs)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Analyse how minimal energy difference behaves with fraction of level spacing:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"closest approach between states: left:1, right:0\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 800x400 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"3.2369169874680354e-31\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"initial_power = 50* si.uW\n",
|
|
"initial_waist = 1.1*si.uW\n",
|
|
"initial_distance = 3*si.um\n",
|
|
"\n",
|
|
"factor_waist2 = 1.\n",
|
|
"\n",
|
|
"trap[trap.power_tweezer1] = initial_power\n",
|
|
"trap[trap.waist_tweezer1] = initial_waist\n",
|
|
"trap[trap.waist_tweezer2] = initial_waist*factor_waist2\n",
|
|
"\n",
|
|
"omega_r1 = sp.sqrt(2*trap.power_tweezer1*trap.a/sp.pi/trap.m)*2/trap.waist_tweezer1**2\n",
|
|
"\n",
|
|
"#offset required for 1 level spacing of the left tweezer\n",
|
|
"power2_offset = sp.pi*trap.waist_tweezer2**2*const.hbar*omega_r1/2/trap.a\n",
|
|
"\n",
|
|
"#factor to match trap depth and offset by half(or another fraction of) the level spacing\n",
|
|
"power2_factor = factor_waist2**2 - 0.5*float(trap.subs(power2_offset))/initial_power\n",
|
|
"\n",
|
|
"deltaEs = get_deltaE(initial_power,initial_power*power2_factor,initial_waist,initial_waist*factor_waist2,n_levels=10)\n",
|
|
"\n",
|
|
"print(deltaEs)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:4, right:4\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:4, right:4\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:4, right:4\n",
|
|
"closest approach between states: left:4, right:4\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:4, right:4\n",
|
|
"closest approach between states: left:4, right:4\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:4, right:4\n",
|
|
"closest approach between states: left:4, right:4\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:0, right:0\n",
|
|
"closest approach between states: left:4, right:4\n",
|
|
"closest approach between states: left:4, right:4\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:0, right:0\n",
|
|
"closest approach between states: left:4, right:4\n",
|
|
"closest approach between states: left:4, right:4\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:0, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"level_spacings = np.linspace(0,1,20)\n",
|
|
"relative_waists = np.linspace(1,1.1,4)\n",
|
|
"delta_E = np.full((len(level_spacings),len(relative_waists)),np.nan)\n",
|
|
"\n",
|
|
"for i, space_fac in enumerate(level_spacings):\n",
|
|
" for j, factor_waist2 in enumerate(relative_waists):\n",
|
|
"\n",
|
|
" trap[trap.power_tweezer1] = initial_power\n",
|
|
" trap[trap.waist_tweezer1] = initial_waist\n",
|
|
" trap[trap.waist_tweezer2] = initial_waist*factor_waist2\n",
|
|
"\n",
|
|
" omega_r1 = sp.sqrt(2*trap.power_tweezer1*trap.a/sp.pi/trap.m)*2/trap.waist_tweezer1**2\n",
|
|
"\n",
|
|
" #offset required for 1 level spacing of the left tweezer\n",
|
|
" power2_offset = sp.pi*trap.waist_tweezer2**2*const.hbar*omega_r1/2/trap.a\n",
|
|
"\n",
|
|
" #factor to match trap depth and offset by half(or another fraction of) the level spacing\n",
|
|
" power2_factor = factor_waist2**2 - space_fac*float(trap.subs(power2_offset))/initial_power\n",
|
|
"\n",
|
|
" delta_E[i,j] = get_deltaE(initial_power,initial_power*power2_factor,initial_waist,initial_waist*factor_waist2,n_levels=10,plot=False)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 29,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"for j, factor_waist2 in enumerate(relative_waists):\n",
|
|
" plt.plot(level_spacings, delta_E[:,j],label=f\"waist ratio: {factor_waist2:.3f}\")\n",
|
|
"\n",
|
|
"plt.axhline(float(trap.subs(const.hbar*omega_r1))*0.1,color=\"k\",label=\"10% of level spacing\")\n",
|
|
" \n",
|
|
"plt.xlabel(\"power offset as fraction of level spacing\")\n",
|
|
"plt.ylabel(\"minimum energy gap\")\n",
|
|
"plt.title(f\"tweezer1: p0={initial_power/si.uW:.2f}uW, w0={initial_waist/si.um:.2f}um\")\n",
|
|
"#plt.yscale(\"log\")\n",
|
|
"plt.legend()\n",
|
|
"plt.grid()\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Try at different power and waist:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"closest approach between states: left:1, right:0\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 800x400 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"4.071882919254056e-31\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"initial_power = 100* si.uW\n",
|
|
"initial_waist = 1.1*si.uW\n",
|
|
"\n",
|
|
"factor_waist2 = 1.\n",
|
|
"\n",
|
|
"trap[trap.power_tweezer1] = initial_power\n",
|
|
"trap[trap.waist_tweezer1] = initial_waist\n",
|
|
"trap[trap.waist_tweezer2] = initial_waist*factor_waist2\n",
|
|
"\n",
|
|
"omega_r1 = sp.sqrt(2*trap.power_tweezer1*trap.a/sp.pi/trap.m)*2/trap.waist_tweezer1**2\n",
|
|
"\n",
|
|
"#offset required for 1 level spacing of the left tweezer\n",
|
|
"power2_offset = sp.pi*trap.waist_tweezer2**2*const.hbar*omega_r1/2/trap.a\n",
|
|
"\n",
|
|
"#factor to match trap depth and offset by half(or another fraction of) the level spacing\n",
|
|
"power2_factor = factor_waist2**2 - 0.5*float(trap.subs(power2_offset))/initial_power\n",
|
|
"\n",
|
|
"deltaEs = get_deltaE(initial_power,initial_power*power2_factor,initial_waist,initial_waist*factor_waist2,n_levels=10)\n",
|
|
"\n",
|
|
"print(deltaEs)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:4, right:4\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:4, right:4\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:0, right:0\n",
|
|
"closest approach between states: left:4, right:4\n",
|
|
"crossover\n",
|
|
"crossover\n"
|
|
]
|
|
},
|
|
{
|
|
"name": "stderr",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"C:\\Users\\naeve\\AppData\\Local\\Temp\\ipykernel_21460\\1111512266.py:24: RuntimeWarning: All-NaN slice encountered\n",
|
|
" row_diff = np.nanmin(np.abs(energies_left[:,i] - energies_right[:,j]))\n"
|
|
]
|
|
},
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"closest approach between states: left:0, right:0\n",
|
|
"closest approach between states: left:4, right:4\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:0, right:0\n",
|
|
"closest approach between states: left:4, right:4\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:0, right:0\n",
|
|
"closest approach between states: left:4, right:4\n",
|
|
"closest approach between states: left:4, right:4\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:0, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:0, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"level_spacings = np.linspace(0,1,20)\n",
|
|
"relative_waists = np.linspace(1,1.1,4)\n",
|
|
"delta_E = np.full((len(level_spacings),len(relative_waists)),np.nan)\n",
|
|
"\n",
|
|
"for i, space_fac in enumerate(level_spacings):\n",
|
|
" for j, factor_waist2 in enumerate(relative_waists):\n",
|
|
"\n",
|
|
" trap[trap.power_tweezer1] = initial_power\n",
|
|
" trap[trap.waist_tweezer1] = initial_waist\n",
|
|
" trap[trap.waist_tweezer2] = initial_waist*factor_waist2\n",
|
|
"\n",
|
|
" omega_r1 = sp.sqrt(2*trap.power_tweezer1*trap.a/sp.pi/trap.m)*2/trap.waist_tweezer1**2\n",
|
|
"\n",
|
|
" #offset required for 1 level spacing of the left tweezer\n",
|
|
" power2_offset = sp.pi*trap.waist_tweezer2**2*const.hbar*omega_r1/2/trap.a\n",
|
|
"\n",
|
|
" #factor to match trap depth and offset by half(or another fraction of) the level spacing\n",
|
|
" power2_factor = factor_waist2**2 - space_fac*float(trap.subs(power2_offset))/initial_power\n",
|
|
"\n",
|
|
" delta_E[i,j] = get_deltaE(initial_power,initial_power*power2_factor,initial_waist,initial_waist*factor_waist2,n_levels=10,plot=False)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 32,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"for j, factor_waist2 in enumerate(relative_waists):\n",
|
|
" plt.plot(level_spacings, delta_E[:,j],label=f\"waist ratio: {factor_waist2:.3f}\")\n",
|
|
"\n",
|
|
"plt.axhline(float(trap.subs(const.hbar*omega_r1))*0.1,color=\"k\",label=\"10% of level spacing\")\n",
|
|
" \n",
|
|
"plt.xlabel(\"power offset as fraction of level spacing\")\n",
|
|
"plt.ylabel(\"minimum energy gap\")\n",
|
|
"plt.title(f\"tweezer1: p0={initial_power/si.uW:.2f}uW, w0={initial_waist/si.um:.2f}um\")\n",
|
|
"#plt.yscale(\"log\")\n",
|
|
"plt.legend()\n",
|
|
"plt.grid()\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"We see that the energy gap is larger for larger powers. This is expected, since a higher depth also means higher level spacing."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"closest approach between states: left:1, right:0\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 800x400 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"8.084158826331112e-32\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"initial_power = 50* si.uW\n",
|
|
"initial_waist = 2.2*si.uW\n",
|
|
"initial_distance = 5*si.um\n",
|
|
"\n",
|
|
"factor_waist2 = 1.\n",
|
|
"\n",
|
|
"trap[trap.power_tweezer1] = initial_power\n",
|
|
"trap[trap.waist_tweezer1] = initial_waist\n",
|
|
"trap[trap.waist_tweezer2] = initial_waist*factor_waist2\n",
|
|
"\n",
|
|
"omega_r1 = sp.sqrt(2*trap.power_tweezer1*trap.a/sp.pi/trap.m)*2/trap.waist_tweezer1**2\n",
|
|
"\n",
|
|
"#offset required for 1 level spacing of the left tweezer\n",
|
|
"power2_offset = sp.pi*trap.waist_tweezer2**2*const.hbar*omega_r1/2/trap.a\n",
|
|
"\n",
|
|
"#factor to match trap depth and offset by half(or another fraction of) the level spacing\n",
|
|
"power2_factor = factor_waist2**2 - 0.5*float(trap.subs(power2_offset))/initial_power\n",
|
|
"\n",
|
|
"deltaEs = get_deltaE(initial_power,initial_power*power2_factor,initial_waist,initial_waist*factor_waist2,n_levels=10)\n",
|
|
"\n",
|
|
"print(deltaEs)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"closest approach between states: left:0, right:0\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:4, right:4\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:4, right:4\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:4, right:4\n",
|
|
"closest approach between states: left:4, right:4\n",
|
|
"crossover\n",
|
|
"crossover\n"
|
|
]
|
|
},
|
|
{
|
|
"name": "stderr",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"C:\\Users\\naeve\\AppData\\Local\\Temp\\ipykernel_21460\\1111512266.py:24: RuntimeWarning: All-NaN slice encountered\n",
|
|
" row_diff = np.nanmin(np.abs(energies_left[:,i] - energies_right[:,j]))\n"
|
|
]
|
|
},
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"closest approach between states: left:4, right:4\n",
|
|
"closest approach between states: left:4, right:4\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:4, right:4\n",
|
|
"closest approach between states: left:4, right:4\n",
|
|
"closest approach between states: left:4, right:4\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:0, right:0\n",
|
|
"closest approach between states: left:4, right:4\n",
|
|
"closest approach between states: left:4, right:4\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:0, right:0\n",
|
|
"closest approach between states: left:4, right:4\n",
|
|
"closest approach between states: left:4, right:4\n",
|
|
"closest approach between states: left:4, right:4\n",
|
|
"closest approach between states: left:0, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n",
|
|
"crossover\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"level_spacings = np.linspace(0,1,20)\n",
|
|
"relative_waists = np.linspace(1,1.1,4)\n",
|
|
"delta_E = np.full((len(level_spacings),len(relative_waists)),np.nan)\n",
|
|
"\n",
|
|
"for i, space_fac in enumerate(level_spacings):\n",
|
|
" for j, factor_waist2 in enumerate(relative_waists):\n",
|
|
"\n",
|
|
" trap[trap.power_tweezer1] = initial_power\n",
|
|
" trap[trap.waist_tweezer1] = initial_waist\n",
|
|
" trap[trap.waist_tweezer2] = initial_waist*factor_waist2\n",
|
|
"\n",
|
|
" omega_r1 = sp.sqrt(2*trap.power_tweezer1*trap.a/sp.pi/trap.m)*2/trap.waist_tweezer1**2\n",
|
|
"\n",
|
|
" #offset required for 1 level spacing of the left tweezer\n",
|
|
" power2_offset = sp.pi*trap.waist_tweezer2**2*const.hbar*omega_r1/2/trap.a\n",
|
|
"\n",
|
|
" #factor to match trap depth and offset by half(or another fraction of) the level spacing\n",
|
|
" power2_factor = factor_waist2**2 - space_fac*float(trap.subs(power2_offset))/initial_power\n",
|
|
"\n",
|
|
" delta_E[i,j] = get_deltaE(initial_power,initial_power*power2_factor,initial_waist,initial_waist*factor_waist2,n_levels=10,plot=False)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 35,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
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"text/plain": [
|
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"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
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"output_type": "display_data"
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}
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|
],
|
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"source": [
|
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"for j, factor_waist2 in enumerate(relative_waists):\n",
|
|
" plt.plot(level_spacings, delta_E[:,j],label=f\"waist ratio: {factor_waist2:.3f}\")\n",
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"\n",
|
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"plt.axhline(float(trap.subs(const.hbar*omega_r1))*0.1,color=\"k\",label=\"10% of level spacing\")\n",
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" \n",
|
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"plt.xlabel(\"power offset as fraction of level spacing\")\n",
|
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"plt.ylabel(\"minimum energy gap\")\n",
|
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"plt.title(f\"tweezer1: p0={initial_power/si.uW:.2f}uW, w0={initial_waist/si.um:.2f}um\")\n",
|
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"#plt.yscale(\"log\")\n",
|
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"plt.legend()\n",
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"plt.grid()\n",
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"plt.show()"
|
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]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Larger waists decrease the depth and also the energy gap.\n",
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|
"\n",
|
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"## Let's calculate this for more combinations of power and waist:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stderr",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"C:\\Users\\naeve\\AppData\\Local\\Temp\\ipykernel_21460\\1111512266.py:24: RuntimeWarning: All-NaN slice encountered\n",
|
|
" row_diff = np.nanmin(np.abs(energies_left[:,i] - energies_right[:,j]))\n"
|
|
]
|
|
},
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
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"closest approach between states: left:0, right:0\n",
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"closest approach between states: left:0, right:0\n",
|
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"closest approach between states: left:0, right:0\n",
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"closest approach between states: left:0, right:0\n",
|
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"closest approach between states: left:0, right:0\n",
|
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"closest approach between states: left:0, right:0\n",
|
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"closest approach between states: left:0, right:0\n",
|
|
"closest approach between states: left:0, right:0\n",
|
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"closest approach between states: left:0, right:0\n",
|
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"closest approach between states: left:0, right:0\n",
|
|
"closest approach between states: left:0, right:0\n",
|
|
"closest approach between states: left:0, right:0\n",
|
|
"closest approach between states: left:0, right:0\n",
|
|
"closest approach between states: left:0, right:0\n",
|
|
"closest approach between states: left:0, right:0\n",
|
|
"closest approach between states: left:0, right:0\n",
|
|
"closest approach between states: left:0, right:0\n",
|
|
"closest approach between states: left:0, right:0\n",
|
|
"closest approach between states: left:0, right:0\n",
|
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"closest approach between states: left:0, right:0\n",
|
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"closest approach between states: left:0, right:0\n",
|
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"closest approach between states: left:0, right:0\n",
|
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"closest approach between states: left:0, right:0\n",
|
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"closest approach between states: left:0, right:0\n",
|
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"closest approach between states: left:0, right:0\n",
|
|
"closest approach between states: left:0, right:0\n",
|
|
"closest approach between states: left:0, right:0\n",
|
|
"closest approach between states: left:0, right:0\n",
|
|
"closest approach between states: left:0, right:0\n",
|
|
"closest approach between states: left:0, right:0\n",
|
|
"closest approach between states: left:0, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:0, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
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"closest approach between states: left:1, right:0\n",
|
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"closest approach between states: left:1, right:0\n",
|
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"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n",
|
|
"closest approach between states: left:1, right:0\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"initial_powers = np.linspace(50,1000,10)*si.uW\n",
|
|
"initial_waists = np.linspace(0.7,2.2,10)*si.um\n",
|
|
"delta_E = np.full((len(initial_powers),len(initial_waists)),np.nan)\n",
|
|
"\n",
|
|
"for i, pow in enumerate(initial_powers):\n",
|
|
" for j, wai in enumerate(initial_waists):\n",
|
|
"\n",
|
|
" space_fac = 0.42\n",
|
|
" factor_waist2 = 1\n",
|
|
"\n",
|
|
" initial_power = pow\n",
|
|
" initial_waist = wai\n",
|
|
" initial_distance = 5*si.um\n",
|
|
"\n",
|
|
" trap[trap.power_tweezer1] = initial_power\n",
|
|
" trap[trap.waist_tweezer1] = initial_waist\n",
|
|
" trap[trap.waist_tweezer2] = initial_waist*factor_waist2\n",
|
|
"\n",
|
|
" omega_r1 = sp.sqrt(2*trap.power_tweezer1*trap.a/sp.pi/trap.m)*2/trap.waist_tweezer1**2\n",
|
|
"\n",
|
|
" #offset required for 1 level spacing of the left tweezer\n",
|
|
" power2_offset = sp.pi*trap.waist_tweezer2**2*const.hbar*omega_r1/2/trap.a\n",
|
|
"\n",
|
|
" #factor to match trap depth and offset by half(or another fraction of) the level spacing\n",
|
|
" power2_factor = factor_waist2**2 - space_fac*float(trap.subs(power2_offset))/initial_power\n",
|
|
"\n",
|
|
" delta_E[i,j] = get_deltaE(initial_power,initial_power*power2_factor,initial_waist,initial_waist*factor_waist2,n_levels=10,plot=False)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 37,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
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"text/plain": [
|
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"<Figure size 640x480 with 2 Axes>"
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]
|
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},
|
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"metadata": {},
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"output_type": "display_data"
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}
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],
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"source": [
|
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"plt.imshow(delta_E,extent=[np.min(initial_waists)/si.uW,np.max(initial_waists)/si.uW,np.min(initial_powers)/si.um,np.max(initial_powers)/si.um],origin=\"lower\",aspect=\"auto\")\n",
|
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"plt.colorbar()\n",
|
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"plt.ylabel(\"Power (uW)\")\n",
|
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"plt.xlabel(\"Waist (um)\")\n",
|
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"plt.title(\"Energy Difference\")\n",
|
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"plt.show()"
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]
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},
|
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{
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"cell_type": "code",
|
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"execution_count": 44,
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"metadata": {},
|
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"outputs": [
|
|
{
|
|
"name": "stderr",
|
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"output_type": "stream",
|
|
"text": [
|
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"C:\\Users\\naeve\\AppData\\Local\\Temp\\ipykernel_21460\\382801629.py:24: RuntimeWarning: All-NaN slice encountered\n",
|
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" row_diff = np.nanmin(np.abs(energies_left[:,i] - energies_right[:,j]))\n"
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]
|
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},
|
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{
|
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"name": "stdout",
|
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"output_type": "stream",
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"text": [
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"closest approach between states: left:1, right:0\n",
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"closest approach between states: left:1, right:0\n",
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"closest approach between states: left:1, right:0\n",
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"closest approach between states: left:1, right:0\n",
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"closest approach between states: left:1, right:0\n",
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"closest approach between states: left:1, right:0\n",
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"closest approach between states: left:1, right:0\n",
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"closest approach between states: left:1, right:0\n",
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"closest approach between states: left:1, right:0\n",
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"closest approach between states: left:1, right:0\n",
|
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
|
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"crossover\n",
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"crossover\n",
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"crossover\n",
|
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"crossover\n",
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"crossover\n",
|
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"crossover\n",
|
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"crossover\n",
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"crossover\n",
|
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"crossover\n",
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"crossover\n",
|
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"crossover\n",
|
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
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"crossover\n",
|
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"crossover\n",
|
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"crossover\n",
|
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"crossover\n",
|
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"crossover\n",
|
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"crossover\n",
|
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"crossover\n",
|
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"crossover\n",
|
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"crossover\n",
|
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"crossover\n",
|
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"crossover\n",
|
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"crossover\n",
|
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"crossover\n",
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"crossover\n",
|
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"crossover\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"initial_powers = np.linspace(50,1000,10)*si.uW\n",
|
|
"initial_waists = np.linspace(0.7,2.2,10)*si.um\n",
|
|
"delta_E = np.full((len(initial_powers),len(initial_waists)),np.nan)\n",
|
|
"\n",
|
|
"for i, pow in enumerate(initial_powers):\n",
|
|
" for j, wai in enumerate(initial_waists):\n",
|
|
"\n",
|
|
" space_fac = 0.42\n",
|
|
" factor_waist2 = 1.05\n",
|
|
"\n",
|
|
" initial_power = pow\n",
|
|
" initial_waist = wai\n",
|
|
" initial_distance = 5*si.um\n",
|
|
"\n",
|
|
" trap[trap.power_tweezer1] = initial_power\n",
|
|
" trap[trap.waist_tweezer1] = initial_waist\n",
|
|
" trap[trap.waist_tweezer2] = initial_waist*factor_waist2\n",
|
|
"\n",
|
|
" omega_r1 = sp.sqrt(2*trap.power_tweezer1*trap.a/sp.pi/trap.m)*2/trap.waist_tweezer1**2\n",
|
|
"\n",
|
|
" #offset required for 1 level spacing of the left tweezer\n",
|
|
" power2_offset = sp.pi*trap.waist_tweezer2**2*const.hbar*omega_r1/2/trap.a\n",
|
|
"\n",
|
|
" #factor to match trap depth and offset by half(or another fraction of) the level spacing\n",
|
|
" power2_factor = factor_waist2**2 - space_fac*float(trap.subs(power2_offset))/initial_power\n",
|
|
"\n",
|
|
" delta_E[i,j] = get_deltaE(initial_power,initial_power*power2_factor,initial_waist,initial_waist*factor_waist2,n_levels=10,plot=False)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 45,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plt.imshow(delta_E,extent=[np.min(initial_waists)/si.uW,np.max(initial_waists)/si.uW,np.min(initial_powers)/si.um,np.max(initial_powers)/si.um],origin=\"lower\",aspect=\"auto\")\n",
|
|
"plt.colorbar()\n",
|
|
"plt.ylabel(\"Power (uW)\")\n",
|
|
"plt.xlabel(\"Waist (um)\")\n",
|
|
"plt.title(\"Energy Difference\")\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
|
|
}
|