LennartNaeve_code/spilling_code/diagonalisation/lithium2.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 import *"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# See how gradient spilling would look like for Li:"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [],
"source": [
"initial_power = 291.5 * si.uW\n",
"initial_grad = 21 *si.G/si.cm\n",
"\n",
"#parameters for lithium setup\n",
"wvl = 1064 * si.nm\n",
"omega_l = 2 * np.pi * const.c / wvl\n",
"omega_0 = 2 * np.pi * const.c / (671 * si.nm)\n",
"gamma = 2 * np.pi * 5.8724 * const.mega\n",
"\n",
"trap: PancakeTrap = PancakeTrap(\n",
" power=0, # Set pancake laser power to 0, no 2D trap\n",
" grad_z=initial_grad,\n",
" grad_r=0,\n",
" power_tweezer=initial_power,\n",
" waist_tweezer=1.838 * si.um,\n",
"\n",
" wvl = 1064 * si.nm,\n",
" omega_0 = 2 * np.pi * const.c / (671 * si.nm),\n",
" a = (3 * sp.pi * const.c**2) / (2 * omega_0**3)* (gamma / (omega_0 - omega_l) + gamma / (omega_0 + omega_l)),\n",
" m = 6.0151228 * const.value(\"atomic mass constant\"),\n",
" mu_b = const.value(\"Bohr magneton\"),\n",
")\n",
"zr = float(trap.subs(trap.get_tweezer_rayleigh()))\n",
"\n",
"x, y, z = trap.x, trap.y, trap.z"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[6.12403657e+24 1.40929010e+19 1.88588017e+14 7.28586661e+09\n",
" 6.91489717e+05 1.58272638e+02 9.72417414e-02 2.84255990e-04] s\n",
"-6.846373487865556e-30\n"
]
},
{
"data": {
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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"trap[trap.power_tweezer] = 1* initial_power\n",
"trap[trap.grad_z] = 1*initial_grad\n",
"plot_solutions(trap,100,-1*zr,2.2*zr)"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
" 0%| | 0/50 [00:00<?, ?it/s]"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"<lambdifygenerated-1563>:2: RuntimeWarning: overflow encountered in scalar power\n",
" return 9.25429819739509e-40*z/(pi**2*(z**2/pi**2 + 1.00808875956951e-11)**2) - 3.01926539188606e-24\n",
"<lambdifygenerated-1564>:2: RuntimeWarning: overflow encountered in scalar power\n",
" return -3.70171927895804e-39*z**2/(pi**4*(z**2/pi**2 + 1.00808875956951e-11)**3) + 9.25429819739509e-40/(pi**2*(z**2/pi**2 + 1.00808875956951e-11)**2)\n",
"100%|██████████| 50/50 [01:42<00:00, 2.05s/it]\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"trap[trap.power_tweezer] = initial_power\n",
"trap[trap.grad_z] = initial_grad\n",
"plot_occupation_grad(trap,100,-1.5*zr,2.2*zr,grad_fac_down=1,grad_fac_up=1.5,n_spill_steps=50,n_pot_steps=int(1e3),t_spill=25*si.ms)"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
" 0%| | 0/50 [00:00<?, ?it/s]"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"<lambdifygenerated-1963>:2: RuntimeWarning: overflow encountered in scalar power\n",
" return 9.25429819739509e-40*z/(pi**2*(z**2/pi**2 + 1.00808875956951e-11)**2) - 3.01926539188606e-24\n",
"<lambdifygenerated-1964>:2: RuntimeWarning: overflow encountered in scalar power\n",
" return -3.70171927895804e-39*z**2/(pi**4*(z**2/pi**2 + 1.00808875956951e-11)**3) + 9.25429819739509e-40/(pi**2*(z**2/pi**2 + 1.00808875956951e-11)**2)\n",
"100%|██████████| 50/50 [01:40<00:00, 2.01s/it]\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"trap[trap.power_tweezer] = initial_power\n",
"trap[trap.grad_z] = initial_grad\n",
"plot_occupation_grad(trap,100,-1.5*zr,2.2*zr,grad_fac_down=1,grad_fac_up=1.5,n_spill_steps=50,n_pot_steps=int(1e3),t_spill=1*si.ms)"
]
},
{
"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
}