LennartNaeve_code/merging_tweezer_code/bosons/2025_03_14 (try linearOperator).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",
"import matplotlib.animation as animation\n",
"import numpy as np\n",
"from scipy import constants as const\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"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"initial_power = 50* si.uW\n",
"initial_waist = 1.1*si.uW\n",
"initial_distance = 1.7*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, #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",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Sparse matrix hamiltonian:"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"n_pot_steps = [30,30,30]\n",
"n_levels = 8\n",
"\n",
"left_cutoff = -0.5*initial_distance-2*np.max([float(trap.subs(trap.waist_tweezer1)),float(trap.subs(trap.waist_tweezer2))])\n",
"right_cutoff = 0.5*initial_distance+2*np.max([float(trap.subs(trap.waist_tweezer1)),float(trap.subs(trap.waist_tweezer2))])\n",
"back_cutoff = -2*np.max([float(trap.subs(trap.waist_tweezer1)),float(trap.subs(trap.waist_tweezer2))])\n",
"front_cutoff = 2*np.max([float(trap.subs(trap.waist_tweezer1)),float(trap.subs(trap.waist_tweezer2))])\n",
"bottom_cutoff = -1.2*np.max([float(trap.subs(trap.get_tweezer_rayleigh1())),float(trap.subs(trap.get_tweezer_rayleigh2()))])\n",
"top_cutoff = 1.2*np.max([float(trap.subs(trap.get_tweezer_rayleigh1())),float(trap.subs(trap.get_tweezer_rayleigh2()))])\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",
"\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": null,
"metadata": {},
"outputs": [],
"source": [
"state_number = 0\n",
"\n",
"\n",
"plt.plot(x,states[state_number,:,int(len(y)/2),int(len(z)/2)])\n",
"plt.plot(x,1e27*pot[:,int(len(y)/2),int(len(z)/2)])\n",
"plt.show()\n",
"\n",
"plt.plot(y,states[state_number,int(len(x)/3),:,int(len(z)/2)])\n",
"plt.plot(y,1e27*pot[int(len(x)/3),:,int(len(z)/2)])\n",
"plt.show()\n",
"\n",
"plt.plot(z,states[state_number,int(len(x)/3),int(len(y)/2),:])\n",
"plt.plot(z,1e27*pot[int(len(x)/3),int(len(y)/2),:])\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Matrix free with LinearOperator"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"files saved with ...._2025-03-18_13-22-26\n"
]
}
],
"source": [
"n_pot_steps = [100,100,100]\n",
"n_levels = 8\n",
"\n",
"left_cutoff = -0.5*initial_distance-2*np.max([float(trap.subs(trap.waist_tweezer1)),float(trap.subs(trap.waist_tweezer2))])\n",
"right_cutoff = 0.5*initial_distance+2*np.max([float(trap.subs(trap.waist_tweezer1)),float(trap.subs(trap.waist_tweezer2))])\n",
"back_cutoff = -2*np.max([float(trap.subs(trap.waist_tweezer1)),float(trap.subs(trap.waist_tweezer2))])\n",
"front_cutoff = 2*np.max([float(trap.subs(trap.waist_tweezer1)),float(trap.subs(trap.waist_tweezer2))])\n",
"bottom_cutoff = -1*np.max([float(trap.subs(trap.get_tweezer_rayleigh1())),float(trap.subs(trap.get_tweezer_rayleigh2()))])\n",
"top_cutoff = 1*np.max([float(trap.subs(trap.get_tweezer_rayleigh1())),float(trap.subs(trap.get_tweezer_rayleigh2()))])\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",
"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": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(10.0, 100.0)"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.loglog(np.array([30,75,100]),np.array([10/60,12,38])) #time in min\n",
"plt.xlim(1e1,1e2)"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"state_number = 3\n",
"\n",
"plt.plot(x,states[state_number,:,int(len(y)/2),int(len(z)/2)].real, label=\"real part\")\n",
"plt.plot(x,states[state_number,:,int(len(y)/2),int(len(z)/2)].imag, label=\"imaginary part\")\n",
"#plt.plot(x,pot[:,int(len(y)/2),int(len(z)/2)], label=\"potential (rescaled)\")\n",
"plt.legend()\n",
"plt.show()\n",
"\n",
"plt.plot(y,states[state_number,int(len(x)/3),:,int(len(z)/2)].real, label=\"real part\")\n",
"plt.plot(y,states[state_number,int(len(x)/3),:,int(len(z)/2)].imag, label=\"imaginary part\")\n",
"#plt.plot(y,1e27*pot[int(len(x)/3),:,int(len(z)/2)], label=\"potential (rescaled)\")\n",
"plt.show()\n",
"\n",
"plt.plot(z,states[state_number,int(len(x)/3),int(len(y)/2),:].real, label=\"real part\")\n",
"plt.plot(z,states[state_number,int(len(x)/3),int(len(y)/2),:].imag, label=\"imaginary part\")\n",
"#plt.plot(z,1e27*pot[int(len(x)/3),int(len(y)/2),:], label=\"potential (rescaled)\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
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"text/plain": [
"<Figure size 2400x500 with 16 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"n_states = 8\n",
"\n",
"# Create a 1xn_states grid of subplots (1 row, n_states columns)\n",
"fig, axes = plt.subplots(1, n_states, figsize=(18/6*n_states, 5)) # Adjust the size as needed\n",
"\n",
"# Loop over the state numbers from 0 to 5\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(np.abs(states[state_number, :, int(len(y)/2), :].T)**2, extent=[*extend[0], *extend[2]], origin=\"lower\",\n",
" vmin=np.min(np.abs(states[state_number])**2), vmax=np.max(np.abs(states[state_number])**2))\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": [
"#state to plot\n",
"state_number = 1\n",
"\n",
"# path to store animation\n",
"anim_path = f\"animations/state{state_number}.gif\"\n",
"\"\"\"\n",
"# results file containing the energies and states\n",
"data = np.load(\"data/results_300.npz\")\n",
"for key in data.keys():\n",
" globals()[key] = data[key]\n",
"\n",
"# parameters file for coordinates, potential, etc.\n",
"data = np.load(\"data/parameters_300.npz\")\n",
"for key in data.keys():\n",
" globals()[key] = data[key]\"\"\"\n",
"\n",
"x3D, y3D, z3D = np.meshgrid(x, y, z,indexing=\"ij\") # Ensure correct indexing\n",
"\n",
"extend = [(x.min(),x.max()),\n",
" (y.min(),y.max()),\n",
" (z.min(),z.max())]\n",
"\n",
"n_pot_steps = [len(x),len(y),len(z)]\n",
"\n",
"# Create figure and axis\n",
"fig, ax = plt.subplots()\n",
"im = ax.imshow(np.abs(states[state_number, :, :, 0])**2, extent=[*extend[1], *extend[0]], origin=\"lower\",\n",
" vmin=np.min(np.abs(states[state_number])**2), vmax=np.max(np.abs(states[state_number])**2))\n",
"\n",
"plt.xlabel(\"y\")\n",
"plt.ylabel(\"x\")\n",
"plt.colorbar(im)\n",
"\n",
"# Initialize contour as None before defining it globally\n",
"contour = None\n",
"\n",
"vmin = np.min(pot)\n",
"vmax = np.max(pot)\n",
"\n",
"# Animation update function\n",
"def update(frame):\n",
" global contour # Ensure we're modifying the global variable\n",
"\n",
" im.set_data(np.abs(states[state_number, :, :, frame])**2) # Update image data\n",
" ax.set_title(f\"z={z[frame]/si.um:.3f}um\") # Update title\n",
"\n",
" # Remove old contours if they exist\n",
" if contour is not None:\n",
" for c in contour.collections:\n",
" c.remove()\n",
"\n",
" # Redraw contour plot\n",
" contour = ax.contour(pot[:, :, frame], levels=np.linspace(vmin, vmax, 10), colors='white', linewidths=0.7, extent=[*extend[1], *extend[0]])\n",
"\n",
"# Create the first contour plot after defining update()\n",
"contour = ax.contour(pot[:, :, 0], levels=np.linspace(vmin, vmax, 10), colors='white', linewidths=0.7, extent=[*extend[1], *extend[0]])\n",
"\n",
"# Create animation\n",
"frames = n_pot_steps[2] # Number of slices\n",
"ani = animation.FuncAnimation(fig, update, frames=frames, interval=100)\n",
"\n",
"\n",
"ani.save(anim_path, writer=\"pillow\", fps=frames/5) # Save as GIF\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
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