LennartNaeve_code/merging_tweezer_code/bosons/2025_03_26 (calc lattice).ipynb
2025-04-25 20:52:11 +02:00

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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"from IPython.display import Math, display\n",
"import numpy as np\n",
"import sympy as sp\n",
"from scipy import constants as const\n",
"from scipy.optimize import minimize_scalar\n",
"from scipy import sparse\n",
"\n",
"#add relative path to backend\n",
"import sys\n",
"sys.path.append('../../clean_diag/backend')\n",
"\n",
"import trap_units as si\n",
"from twod_trap import DoubleTweezer, TwoSiteLattice"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Set up trap parameters"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"### Erbium ###\n",
"\n",
"spacing_xy = 266*si.nm\n",
"spacing_z = 532*si.nm\n",
"\n",
"trap: TwoSiteLattice = TwoSiteLattice(\n",
"\n",
" lattice_spacing_x = spacing_xy,\n",
" lattice_spacing_y = spacing_xy,\n",
" lattice_spacing_z = spacing_z,\n",
" lattice_depth_x = 0,\n",
" lattice_depth_y = 0,\n",
" lattice_depth_z = 0,\n",
"\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_tweezer = 0,\n",
" waist_tweezer = 0,\n",
"\n",
" m = 168 * const.value(\"atomic mass constant\"),\n",
" mu_b = 6.982806* const.value(\"Bohr magneton\"),\n",
" a_s = 137* const.value(\"Bohr radius\"),\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",
"E_r_xy = const.h**2/(8*trap.m*spacing_xy**2)\n",
"\n",
"trap[trap.lattice_depth_x] = 15*E_r_xy\n",
"trap[trap.lattice_depth_y] = 15*E_r_xy\n",
"\n",
"#mult=4 for AR=1 / mult=0.25 for AR=2\n",
"mult=4\n",
"trap[trap.lattice_depth_z] = mult* 15*E_r_xy"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle 240.0$"
],
"text/plain": [
"240.000000000000"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"E_r_z = const.h**2/(8*trap.m*spacing_z**2)\n",
"\n",
"trap.subs(trap.lattice_depth_z/E_r_z)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 500x500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"left_cutoff = -1.3*float(trap.subs(trap.lattice_spacing_x))\n",
"right_cutoff = 1.3*float(trap.subs(trap.lattice_spacing_x))\n",
"\n",
"\n",
"# Solve the hamiltonian numerically in axial direction\n",
"energies, states, potential, coords = trap.nstationary_solution(\n",
" trap.x, (left_cutoff, right_cutoff), 500, k=4\n",
")\n",
"\n",
"# States that are below the potential barrier\n",
"#bound_states = energies < potential(left_cutoff)\n",
"bound_states = energies < np.inf\n",
"\n",
"z_np = np.linspace(left_cutoff, right_cutoff, num=500)\n",
"ax: plt.Axes\n",
"fig, ax = plt.subplots(figsize=(5, 5))\n",
"ax.plot(z_np / si.um, potential(z_np) / const.h / si.kHz,color=\"cornflowerblue\" ,marker=\"None\")\n",
"ax.set_title(f\"{np.sum(bound_states)} bound solutions, tweezer distance: {trap.subs(trap.lattice_spacing_x)/si.um}um\")\n",
"ax.set_xlabel(r\"x ($\\mathrm{\\mu m}$)\")\n",
"ax.set_ylabel(r\"E / h (kHz)\")\n",
"abs_min = np.min(potential(z_np))\n",
"ax.fill_between(\n",
" z_np / si.um,\n",
" potential(z_np) / const.h / si.kHz,\n",
" abs_min / const.h / si.kHz,\n",
" alpha=0.5,\n",
" color=\"cornflowerblue\"\n",
")\n",
"\n",
"count = 0\n",
"for i, bound in enumerate(bound_states):\n",
" if not bound:\n",
" continue\n",
" energy = energies[i]\n",
" state = states[i]\n",
" ax.plot(\n",
" z_np / si.um,\n",
" np.where(\n",
" (energy > potential(z_np)),\n",
" energy / const.h / si.kHz,\n",
" np.nan,\n",
" ),\n",
" c=\"k\",\n",
" lw=0.5,\n",
" marker=\"None\",\n",
" )\n",
" ax.plot(z_np/si.um, state *1e2, marker=\"None\",label=f\"state {count}\")#, c=\"k\")\n",
" count += 1\n",
"\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"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 = -0.9*float(trap.subs(trap.lattice_spacing_y))\n",
"right_cutoff = 0.9*float(trap.subs(trap.lattice_spacing_y))\n",
"\n",
"\n",
"# Solve the hamiltonian numerically in axial direction\n",
"energies, states, potential, coords = trap.nstationary_solution(\n",
" trap.y, (left_cutoff, right_cutoff), 500, k=4\n",
")\n",
"\n",
"# States that are below the potential barrier\n",
"#bound_states = energies < potential(left_cutoff)\n",
"bound_states = energies < np.inf\n",
"\n",
"z_np = np.linspace(left_cutoff, right_cutoff, num=500)\n",
"ax: plt.Axes\n",
"fig, ax = plt.subplots(figsize=(5, 5))\n",
"ax.plot(z_np / si.um, potential(z_np) / const.h / si.kHz,color=\"cornflowerblue\" ,marker=\"None\")\n",
"ax.set_title(f\"{np.sum(bound_states)} bound solutions, tweezer distance: {trap.subs(trap.lattice_spacing_x)/si.um}um\")\n",
"ax.set_xlabel(r\"y ($\\mathrm{\\mu m}$)\")\n",
"ax.set_ylabel(r\"E / h (kHz)\")\n",
"abs_min = np.min(potential(z_np))\n",
"ax.fill_between(\n",
" z_np / si.um,\n",
" potential(z_np) / const.h / si.kHz,\n",
" abs_min / const.h / si.kHz,\n",
" alpha=0.5,\n",
" color=\"cornflowerblue\"\n",
")\n",
"\n",
"count = 0\n",
"for i, bound in enumerate(bound_states):\n",
" if not bound:\n",
" continue\n",
" energy = energies[i]\n",
" state = states[i]\n",
" ax.plot(\n",
" z_np / si.um,\n",
" np.where(\n",
" (energy > potential(z_np)),\n",
" energy / const.h / si.kHz,\n",
" np.nan,\n",
" ),\n",
" c=\"k\",\n",
" lw=0.5,\n",
" marker=\"None\",\n",
" )\n",
" ax.plot(z_np/si.um, state *1e2, marker=\"None\",label=f\"state {count}\")#, c=\"k\")\n",
" count += 1\n",
"\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"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 = -0.9*float(trap.subs(trap.lattice_spacing_z))\n",
"right_cutoff = 0.9*float(trap.subs(trap.lattice_spacing_z))\n",
"\n",
"\n",
"# Solve the hamiltonian numerically in axial direction\n",
"energies, states, potential, coords = trap.nstationary_solution(\n",
" trap.z, (left_cutoff, right_cutoff), 500, k=4\n",
")\n",
"\n",
"# States that are below the potential barrier\n",
"#bound_states = energies < potential(left_cutoff)\n",
"bound_states = energies < np.inf\n",
"\n",
"z_np = np.linspace(left_cutoff, right_cutoff, num=500)\n",
"ax: plt.Axes\n",
"fig, ax = plt.subplots(figsize=(5, 5))\n",
"ax.plot(z_np / si.um, potential(z_np) / const.h / si.kHz,color=\"cornflowerblue\" ,marker=\"None\")\n",
"ax.set_title(f\"{np.sum(bound_states)} bound solutions, tweezer distance: {trap.subs(trap.lattice_spacing_x)/si.um}um\")\n",
"ax.set_xlabel(r\"z ($\\mathrm{\\mu m}$)\")\n",
"ax.set_ylabel(r\"E / h (kHz)\")\n",
"abs_min = np.min(potential(z_np))\n",
"ax.fill_between(\n",
" z_np / si.um,\n",
" potential(z_np) / const.h / si.kHz,\n",
" abs_min / const.h / si.kHz,\n",
" alpha=0.5,\n",
" color=\"cornflowerblue\"\n",
")\n",
"\n",
"count = 0\n",
"for i, bound in enumerate(bound_states):\n",
" if not bound:\n",
" continue\n",
" energy = energies[i]\n",
" state = states[i]\n",
" ax.plot(\n",
" z_np / si.um,\n",
" np.where(\n",
" (energy > potential(z_np)),\n",
" energy / const.h / si.kHz,\n",
" np.nan,\n",
" ),\n",
" c=\"k\",\n",
" lw=0.5,\n",
" marker=\"None\",\n",
" )\n",
" ax.plot(z_np/si.um, state *1e2, marker=\"None\",label=f\"state {count}\")#, c=\"k\")\n",
" count += 1\n",
"\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Check parameters"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"depth: 15.00 E_r\n",
"trapping frequency x: 32502.74 Hz\n",
"trapping frequency y: 32502.74 Hz\n",
"trapping frequency z: 32502.74 Hz\n",
"aspect ratio: 1.0000\n",
"tunneling distance: 266.00 um\n"
]
}
],
"source": [
"V = trap.subs(trap.get_potential(apply_zero_offset=False))\n",
"a = float(trap.subs(trap.lattice_spacing_x))\n",
"\n",
"#find minima of potential\n",
"def V_func(x):\n",
" return float(V.subs({trap.x:x, trap.y:0, trap.z:0}))\n",
"#x_right = minimize_scalar(V_func,bracket=[1e-3*a,a/2],bounds=[0,a/2]).x\n",
"#x_left = minimize_scalar(V_func,bracket=[-a/2,-1e-3*a],bounds=[-a/2,0]).x\n",
"x_right = a/2\n",
"x_left = -a/2\n",
"\n",
"#catch case where both potentials have already merged\n",
"tunneling_dist = abs(x_right-x_left)\n",
"if tunneling_dist < 1e-15:\n",
" raise Exception(\"potential has only one minmum\")\n",
"\n",
"#depts of both tweezers\n",
"V_1 = abs(V_func(x_left) - V_func(0))\n",
"V_2 = abs(V_func(x_right) - V_func(0)) \n",
"\n",
"#trapping frequencies\n",
"omega_x1, omega_x2 = trap.get_both_omega(trap.x)\n",
"omega_y1, omega_y2 = trap.get_both_omega(trap.y)\n",
"omega_z1, omega_z2 = trap.get_both_omega(trap.z)\n",
"\n",
"#recoil energy\n",
"E_r = const.h**2/(8*trap.m*trap.lattice_spacing_x**2)\n",
"\n",
"#print results\n",
"print(f\"depth: {V_2/float(trap.subs(E_r)):.2f} E_r\")\n",
"\n",
"print(f\"trapping frequency x: {trap.subs(omega_x1)/2/np.pi:.2f} Hz\")\n",
"print(f\"trapping frequency y: {trap.subs(omega_y1)/2/np.pi:.2f} Hz\")\n",
"print(f\"trapping frequency z: {trap.subs(omega_z1)/2/np.pi:.2f} Hz\")\n",
"\n",
"print(f\"aspect ratio: {sp.sqrt(omega_x1/omega_z1):.4f}\")\n",
"\n",
"print(f\"tunneling distance: {tunneling_dist/si.nm:.2f} um\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Diagonalise"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"files saved with ...._2025-03-27_13-50-44\n"
]
}
],
"source": [
"n_grid_1D = 50\n",
"\n",
"n_pot_steps = [n_grid_1D,n_grid_1D,n_grid_1D]\n",
"n_levels = 15\n",
"\n",
"\n",
"left_cutoff = -1.3*float(trap.subs(trap.lattice_spacing_x))\n",
"right_cutoff = 1.3*float(trap.subs(trap.lattice_spacing_x))\n",
"back_cutoff = -0.9*float(trap.subs(trap.lattice_spacing_y))\n",
"front_cutoff = 0.9*float(trap.subs(trap.lattice_spacing_y))\n",
"bottom_cutoff = -0.9*float(trap.subs(trap.lattice_spacing_z))\n",
"top_cutoff = 0.9*float(trap.subs(trap.lattice_spacing_z))\n",
"\n",
"extend = [(left_cutoff,right_cutoff),\n",
" (back_cutoff,front_cutoff),\n",
" (bottom_cutoff,top_cutoff)]\n",
"\n",
"\n",
"# Solve the hamiltonian numerically\n",
"energies, states, potential, coords = trap.nstationary_solution(\n",
" [trap.x,trap.y,trap.z], extend, n_pot_steps, k=n_levels,\n",
" method=\"matrix_free\", export=True)\n",
"\n",
"\n",
"x = coords[trap.x]\n",
"y = coords[trap.y]\n",
"z = coords[trap.z]\n",
"x3D,y3D,z3D = np.meshgrid(coords[trap.x],coords[trap.y],coords[trap.z],indexing=\"ij\")\n",
"pot = potential(x3D,y3D,z3D)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Plot results"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
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BBx+UJJWWluoPf/iDnn/+ec2fPz+g/NKlS9W7d2+VlpZKkgYOHKgdO3Zo0aJFuuuuuyRJa9euNa2zYsUK/frXv9Yf//hHffe737XeKQBQdGQmAMQSchMArCE3ASB0ZCYAWENuhhd3ygQAAAAAtIuamhrTVFtbG1Cmrq5OO3fuVEFBgWl+QUGBNm/e3Gy9lZWVAeVHjx6tHTt2qL6+vtl1zpw5o/r6enXv3r2VvQEAAAAAAAAAAAAYlAnEPiNCEwDEK3ITAKyJYG7m5OTI4XB4pubuennixAk1NjYqMzPTND8zM1Mul6vZJrtcrmbLNzQ06MSJE82u89Of/lRf+MIXdOuttwbfHwAQDMeaAGANuQkA1pCbABA6MhNt4cKtBVs7xYJL7WM0T7GgLftIboYVP18OxLpIhFgHDkUAHQC5CQDWRDA3Dx48qLS0NM9su93e4io2m81chWEEzLtY+ebmS9LChQv1yiuv6K233lJKSspFmw8ALeJYEwCsITcBwBpyEwBCR2YCgDXkZlgxKBMAAAAA0C7S0tJMgzKbk56ersTExIC7Yh47dizgbpgXZGVlNVs+KSlJPXr0MM1ftGiR5s2bpzfffFPXXnttK3oBAAAAAAAAAAAAePHz5UCM68h3aQaA1iA3AcCa9s7NTp06aciQISovLzfNLy8v1/Dhw5tdJz8/P6D8pk2bNHToUCUnJ3vm/eIXv9DPf/5zlZWVaejQoaE3CgBa0N6ZCQCxhtwEAGvITQAIHZkJANaQm+EVE4MyP/roIz3wwAPKzc1V586d1bdvX82ePVt1dXXt3TQAiErkJgCEjswEot/06dP1wgsv6KWXXtLevXv16KOP6sCBA5oyZYokaebMmfrud7/rKT9lyhTt379f06dP1969e/XSSy/pxRdf1I9//GNPmYULF+rxxx/XSy+9pD59+sjlcsnlcumzzz5r8/7FGnITAKwhNwEgdGQmAFhDbgKANeQmgLYSEz9f/sEHH6ipqUnLli3Tl770Jb3//vsqKirS6dOntWjRovZuHtC+jM+ncNeJmEZuokOwfT5ZRW7CD5kJXEQU5OY999yjTz75RE8++aSOHDmiwYMHa+PGjbriiiskSUeOHNGBAwc85XNzc7Vx40Y9+uijevbZZ5Wdna2nn35ad911l6fMc889p7q6Ot19992mbc2ePVtOp7PVXesIyE10GK3JvyjITEQfchMIgtyEHzITuAhyE37ITSAIMhPNIDeBIMjNsIqJQZljxozRmDFjPM+vvPJKVVVV6fnnnycUAaAZ5CYAhI7MBGJDcXGxiouLm122atWqgHkjRozQO++802J9H330UZha1vGQmwBgDbkJAKEjMwHAGnITAKwhNwG0lZj4+fLmuN1ude/ePWiZ2tpa1dTUmCYg7hgRmhB3LpabZCY6DHITIeBYE/BBbiIE5CbwuRjMzOrqahUWFsrhcMjhcKiwsFAnT54Muo5hGHI6ncrOzlbnzp01cuRI7dmzx1Rm+fLlGjlypNLS0mSz2S5aZ0fDOTrwuRjMTbQ9jjUBH+QmQkBuAp8jMxEichP4HLkZVjE5KPMf//iHnnnmGU2ZMiVoufnz53suKDscDuXk5LRRCwEguoSSm2QmAJzHsSYAWENuArFt4sSJ2rVrl8rKylRWVqZdu3apsLAw6DoLFy7U4sWLtWTJEm3fvl1ZWVkaNWqUTp065Slz5swZjRkzRo899likuxBzOEcHYlckBrJ/+umnevjhh9W/f3916dJFvXv31rRp0+R2uyPcm9jAsSYAWENuAoA15CaASGnXQZlOp1M2my3otGPHDtM6hw8f1pgxY/Ttb39bDz74YND6Z86cKbfb7ZkOHjwYye4A7cJmRGZCdIpkbpKZ6CjIzY6DY00gPMjNjoPcBC5drGXm3r17VVZWphdeeEH5+fnKz8/XihUr9Pvf/15VVVXNrmMYhkpLSzVr1iyNHz9egwcP1urVq3XmzBmtW7fOU66kpEQ//elPNWzYsMh1oJ1xjg5culjLzUgMZD98+LAOHz6sRYsW6b333tOqVatUVlamBx54IHIdaQccawLhEWu5idYjN4FLR2Z2LOQmcOnIzfBKas+NT506Vffee2/QMn369PE8Pnz4sG6++Wbl5+dr+fLlF63fbrfLbrdfajOB6GYo/Lf77cChGO0imZtkJtqNrY23R252GBxrAmFCbnYY5CY6hEjnTwQz0/9nscLxmaqsrJTD4VBeXp5n3rBhw+RwOLR582b1798/YJ19+/bJ5XKpoKDA1JYRI0Zo8+bNmjx58iW1KZZwjg6EQQwda14YyL5lyxZPbq5YsUL5+fmqqqpqNjP9B7JL0urVq5WZmal169Zp8uTJGjx4sF577TXPOn379tVTTz2l+++/Xw0NDUpKatevccKGY00gTGIoN3FpyE0gDMjMDoXcBMKA3Ayrdj2bT09PV3p6ekhlDx06pJtvvllDhgzRypUrlZAQk7+8DgCXhNwEgNCRmQBgDbkJRDf/n8WaPXu2nE7nJdXpcrmUkZERMD8jI0Mul6vFdSQpMzPTND8zM1P79++/pPbEGnITiG7hHszelgPZ3W630tLS4mZApkRmAoBV5CYAWENuAog2MXFGf/jwYY0cOVK9e/fWokWLdPz4cc+yrKysdmwZ0P4icbvfjnz74HhBbgItIzfhj8wEgiM34Y/cBFoWycw8ePCg0tLSPPODDSxyOp2aM2dO0Hq3b99+vn5b4K3rDcNodr6pXX7LQ1mnoyI3gZZFMjfDPZi9rQayf/LJJ/r5z3/eoe487IvMBILjHB3+yE2gZWQmmkNuAi0jN8MrJgZlbtq0SR9++KE+/PBDffGLXzQtM4wO/OoBQAvITQAIHZkJANaQm0D7SEtLMw3KDCbUn+zavXu3jh49GrDs+PHjAQOILrjwBYXL5VKvXr08848dO9biOh0duQm0j1AHs0fTQPaamhp985vf1KBBgzR79uygdcYrMhMArCE3AcAachNAW4mJe/BOmjRJhmE0OwEdnhGhCTGN3ASCIDfhh8wELoLchB9yEwgiSjIzPT1dAwYMCDqlpKQoPz9fbrdb27Zt86y7detWud1uDR8+vNm6c3NzlZWVpfLycs+8uro6VVRUtLhOR0duAkFEMDcvDGa/MLU0KHPq1Knau3dv0Gnw4MHKysq6pIHsvpobyH7q1CmNGTNGXbt21YYNG5ScnBxkx8UvMhO4iCg53kT0IDeBIMhMNIPcBIIgN8MqJu6UCQBA3Ah244R4OyDhlwsBAADaXrBjyng7Pou34+d2MHDgQI0ZM0ZFRUVatmyZJOmhhx7S2LFj1b9/f0+5AQMGaP78+brzzjtls9lUUlKiefPmqV+/furXr5/mzZunLl26aOLEiZ51XC6XXC6XPvzwQ0nSe++9p9TUVPXu3Vvdu3dv244CQBDp6elKT0+/aDnfgezXX3+9JGsD2a+77jpJ3oHsCxYs8JSrqanR6NGjZbfb9frrryslJSUMPQMAoBVsn0+cbwEAAFwSBmUCsS4SI8s50QIQz8hNALCG3ASA0MVgZq5du1bTpk1TQUGBJGncuHFasmSJqUxVVZXcbrfn+YwZM3T27FkVFxerurpaeXl52rRpk1JTUz1lli5davo54JtuukmStHLlSk2aNCmCPQIQU2IoNyM1kP3UqVMqKCjQmTNntGbNGtXU1KimpkaS1LNnTyUmJkamQwBiUwzlJgC0OzITAKwhN8MqJn6+HAAAoKOqrq5WYWGhHA6HHA6HCgsLdfLkyaDrGIYhp9Op7Oxsde7cWSNHjtSePXtMZWpra/Xwww8rPT1dl112mcaNG6ePP/7Y8rYfeeQRDRkyRHa7XV/5ylfC0GMAAAC0pe7du5sGAa1Zs0aXX365qYxhGKaBlDabTU6nU0eOHNG5c+dUUVGhwYMHm9ZxOp3N/hQYAzIBxLK1a9fqmmuuUUFBgQoKCnTttdfq5ZdfNpVpbiB7SUmJiouLNXToUB06dMg0kH3nzp3aunWr3nvvPX3pS19Sr169PNPBgwfbtH8AAAAAACA8GJQJxDhbhKbWeO6555Sbm6uUlBQNGTJEf/7zn4OWr6io0JAhQ5SSkqIrr7xSS5cuDSjz2muvadCgQbLb7Ro0aJA2bNgQUObQoUO6//771aNHD3Xp0kVf+cpXtHPnzlb2AkC8i6bcDMXEiRO1a9culZWVqaysTLt27VJhYWHQdRYuXKjFixdryZIl2r59u7KysjRq1CidOnXKU6akpEQbNmzQq6++qrffflufffaZxo4dq8bGRkvbNgxDP/jBD3TPPfeEt+MAokas5SYAtCcyEwCsibXcjMRA9pEjRzY7iN0wDPXp0yeCvQEQi2ItNwGgPZGZAGANuRle/Hw5EOui5PbB69evV0lJiZ577jndcMMNWrZsmW677Tb97W9/U+/evQPK79u3T7fffruKioq0Zs0a/eUvf1FxcbF69uypu+66S5JUWVmpe+65Rz//+c915513asOGDZowYYLefvtt5eXlSTp/F7cbbrhBN998s/77v/9bGRkZ+sc//hFwMRSICVaOSNrrNt/xcNQUwdy88PNiF9jtdtnt9lZXu3fvXpWVlWnLli2e3FuxYoXy8/NVVVVl+nk0T1MMQ6WlpZo1a5bGjx8vSVq9erUyMzO1bt06TZ48WW63Wy+++KJefvll3XrrrZKkNWvWKCcnR2+++aZGjx4d8raffvppSdLx48e1e/fuVvcVQBSLkuNNAGFg5bPXXsd9sZ4PZCYAWENuAoA15CbaSrBzQt4ziBVkJgBYQ26GFXfKBBAWixcv1gMPPKAHH3xQAwcOVGlpqXJycvT88883W37p0qXq3bu3SktLNXDgQD344IP6wQ9+oEWLFnnKlJaWatSoUZo5c6YGDBigmTNn6pZbblFpaamnzIIFC5STk6OVK1fq+uuvV58+fXTLLbeob9++ke4yAATIycnx/NS3w+HQ/PnzL6m+yspKORwOz6BISRo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"text/plain": [
"<Figure size 2666.67x500 with 16 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"n_states = 8\n",
"\n",
"states_plot = states.real\n",
"#states_plot = np.angle(states)\n",
"#states_plot = states.imag\n",
"#states_plot = np.abs(states)**2\n",
"\n",
"# Create a 1xn_states grid of subplots (1 row, n_states columns)\n",
"fig, axes = plt.subplots(1, n_states, figsize=(20/6*n_states, 5)) # Adjust the size as needed\n",
"\n",
"# Loop over the state numbers from 0 to n_states-1\n",
"for state_number, ax in zip(range(n_states), axes):\n",
" # Slice through the y-direction and rotate the x-z plane (by swapping x and z)\n",
" im = ax.imshow(states_plot[state_number, :, int(n_pot_steps[0]/2), :].T,\n",
" extent=[*extend[0], *extend[2]], origin=\"lower\",\n",
" vmin=np.min(states_plot[state_number]), vmax=np.max(states_plot[state_number]))\n",
"\n",
" # Set labels for each subplot\n",
" ax.set_xlabel(\"x\")\n",
" ax.set_ylabel(\"z\")\n",
" ax.set_title(f\"State {state_number}\")\n",
" fig.colorbar(im, ax=ax) \n",
"\n",
"# Adjust layout for better spacing\n",
"plt.tight_layout()\n",
"\n",
"# Show the plots\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Let's also make one for AR=2"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"#mult=4 for AR=1 / mult=0.25 for AR=2\n",
"mult=0.25\n",
"trap[trap.lattice_depth_z] = mult* 15*E_r_xy"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"files saved with ...._2025-03-27_13-59-14\n"
]
}
],
"source": [
"n_grid_1D = 50\n",
"\n",
"n_pot_steps = [n_grid_1D,n_grid_1D,n_grid_1D]\n",
"n_levels = 15\n",
"\n",
"\n",
"left_cutoff = -1.3*float(trap.subs(trap.lattice_spacing_x))\n",
"right_cutoff = 1.3*float(trap.subs(trap.lattice_spacing_x))\n",
"back_cutoff = -0.9*float(trap.subs(trap.lattice_spacing_y))\n",
"front_cutoff = 0.9*float(trap.subs(trap.lattice_spacing_y))\n",
"bottom_cutoff = -0.9*float(trap.subs(trap.lattice_spacing_z))\n",
"top_cutoff = 0.9*float(trap.subs(trap.lattice_spacing_z))\n",
"\n",
"extend = [(left_cutoff,right_cutoff),\n",
" (back_cutoff,front_cutoff),\n",
" (bottom_cutoff,top_cutoff)]\n",
"\n",
"\n",
"# Solve the hamiltonian numerically\n",
"energies, states, potential, coords = trap.nstationary_solution(\n",
" [trap.x,trap.y,trap.z], extend, n_pot_steps, k=n_levels,\n",
" method=\"matrix_free\", export=True)\n",
"\n",
"\n",
"x = coords[trap.x]\n",
"y = coords[trap.y]\n",
"z = coords[trap.z]\n",
"x3D,y3D,z3D = np.meshgrid(coords[trap.x],coords[trap.y],coords[trap.z],indexing=\"ij\")\n",
"pot = potential(x3D,y3D,z3D)\n"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
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"text/plain": [
"<Figure size 2666.67x500 with 16 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"n_states = 8\n",
"\n",
"states_plot = states.real\n",
"#states_plot = np.angle(states)\n",
"#states_plot = states.imag\n",
"#states_plot = np.abs(states)**2\n",
"\n",
"# Create a 1xn_states grid of subplots (1 row, n_states columns)\n",
"fig, axes = plt.subplots(1, n_states, figsize=(20/6*n_states, 5)) # Adjust the size as needed\n",
"\n",
"# Loop over the state numbers from 0 to n_states-1\n",
"for state_number, ax in zip(range(n_states), axes):\n",
" # Slice through the y-direction and rotate the x-z plane (by swapping x and z)\n",
" im = ax.imshow(states_plot[state_number, :, int(n_pot_steps[0]/2), :].T,\n",
" extent=[*extend[0], *extend[2]], origin=\"lower\",\n",
" vmin=np.min(states_plot[state_number]), vmax=np.max(states_plot[state_number]))\n",
"\n",
" # Set labels for each subplot\n",
" ax.set_xlabel(\"x\")\n",
" ax.set_ylabel(\"z\")\n",
" ax.set_title(f\"State {state_number}\")\n",
" fig.colorbar(im, ax=ax) \n",
"\n",
"# Adjust layout for better spacing\n",
"plt.tight_layout()\n",
"\n",
"# Show the plots\n",
"plt.show()\n"
]
},
{
"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": "3.12.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}