313 lines
294 KiB
Plaintext
313 lines
294 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {},
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"outputs": [],
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"source": [
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"import numpy as np\n",
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"import matplotlib.pyplot as plt\n",
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"\n",
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"#add relative path to backend\n",
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"import sys\n",
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"sys.path.append('../../clean_diag/backend')\n",
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"\n",
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"import trap_units as si"
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]
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},
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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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"# 1064nm"
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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": 2,
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"metadata": {},
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"outputs": [],
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"source": [
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"data = np.load(\"data/sweeps_1064.npz\")"
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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": 3,
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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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",
|
|
"text/plain": [
|
|
"<Figure size 1000x500 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"fig = plt.figure(figsize=(10,5))\n",
|
|
"ax1 = fig.add_subplot(111)\n",
|
|
"ax2 = ax1.twiny()\n",
|
|
"\n",
|
|
"ax1.set_yscale(\"log\")\n",
|
|
"ax1.plot(data[\"gradient\"]/si.G*si.cm,data[\"gradient_rel\"],\"o\",label=\"gradient\")\n",
|
|
"ax1.plot(data[\"gradient\"]/si.G*si.cm,data[\"power_rel\"],\"o\",label=\"power\")\n",
|
|
"\n",
|
|
"ax1.set_title(r\"relative precision ($\\frac{\\text{stepsize}}{\\text{value}}$) needed to control atomnumber (1064nm, a=184, eta=9)\")\n",
|
|
"ax1.set_xlabel(\"gradient [G/cm]\")\n",
|
|
"ax1.set_ylabel(\"relative precision\")\n",
|
|
"\n",
|
|
"new_tick_locations = data[\"power\"][::2]/si.uW\n",
|
|
"\n",
|
|
"ax2.set_xlim(ax1.get_xlim())\n",
|
|
"ax2.set_xticks(new_tick_locations)\n",
|
|
"#ax2.set_xticklabels(new_tick_locations)\n",
|
|
"ax2.set_xlabel(r\"power [uW]\")\n",
|
|
"\n",
|
|
"ax1.legend()\n",
|
|
"ax1.grid()\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 4,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1000x500 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"fig = plt.figure(figsize=(10,5))\n",
|
|
"ax1 = fig.add_subplot(111)\n",
|
|
"ax2 = ax1.twiny()\n",
|
|
"\n",
|
|
"ax1.set_yscale(\"linear\")\n",
|
|
"ax1.plot(data[\"gradient\"]/si.G*si.cm,data[\"gradient_step\"]/si.G*si.cm,\"o\",label=\"gradient\")\n",
|
|
"#ax1.plot(data[\"gradient\"]/si.G*si.cm,data[\"power_step\"]/si.uW,\"o\",label=\"power\")\n",
|
|
"\n",
|
|
"ax1.set_title(\"absolute precision needed to control atomnumber (1064nm, a=184, eta=9)\")\n",
|
|
"ax1.set_xlabel(\"gradient [G/cm]\")\n",
|
|
"ax1.set_ylabel(\"absolute precision [G/cm]\")\n",
|
|
"\n",
|
|
"new_tick_locations = data[\"power\"][::2]/si.uW\n",
|
|
"\n",
|
|
"ax2.set_xlim(ax1.get_xlim())\n",
|
|
"ax2.set_xticks(new_tick_locations)\n",
|
|
"#ax2.set_xticklabels(new_tick_locations)\n",
|
|
"ax2.set_xlabel(r\"power [uW]\")\n",
|
|
"\n",
|
|
"ax1.legend()\n",
|
|
"ax1.grid()\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 5,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1000x500 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"fig = plt.figure(figsize=(10,5))\n",
|
|
"ax1 = fig.add_subplot(111)\n",
|
|
"ax2 = ax1.twiny()\n",
|
|
"\n",
|
|
"ax1.set_yscale(\"linear\")\n",
|
|
"#ax1.plot(data[\"gradient\"]/si.G*si.cm,data[\"gradient_step\"]/si.G*si.cm,\"o\",label=\"gradient\")\n",
|
|
"ax1.plot(data[\"gradient\"]/si.G*si.cm,data[\"power_step\"]/si.uW,\"o\",label=\"power\")\n",
|
|
"\n",
|
|
"ax1.set_title(\"absolute precision needed to control atomnumber (1064nm, a=184, eta=9)\")\n",
|
|
"ax1.set_xlabel(\"gradient [G/cm]\")\n",
|
|
"ax1.set_ylabel(\"absolute precision [uW]\")\n",
|
|
"\n",
|
|
"new_tick_locations = data[\"power\"][::2]/si.uW\n",
|
|
"\n",
|
|
"ax2.set_xlim(ax1.get_xlim())\n",
|
|
"ax2.set_xticks(new_tick_locations)\n",
|
|
"#ax2.set_xticklabels(new_tick_locations)\n",
|
|
"ax2.set_xlabel(r\"power [uW]\")\n",
|
|
"\n",
|
|
"ax1.legend()\n",
|
|
"ax1.grid()\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"data = np.load(\"data/sweeps_532.npz\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1000x500 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"fig = plt.figure(figsize=(10,5))\n",
|
|
"ax1 = fig.add_subplot(111)\n",
|
|
"ax2 = ax1.twiny()\n",
|
|
"\n",
|
|
"ax1.set_yscale(\"log\")\n",
|
|
"ax1.plot(data[\"gradient\"]/si.G*si.cm,data[\"gradient_rel\"],\"o\",label=\"gradient\")\n",
|
|
"ax1.plot(data[\"gradient\"]/si.G*si.cm,data[\"power_rel\"],\"o\",label=\"power\")\n",
|
|
"\n",
|
|
"ax1.set_title(r\"relative precision ($\\frac{\\text{stepsize}}{\\text{value}}$) needed to control atomnumber (532nm, a=180, eta=9)\")\n",
|
|
"ax1.set_xlabel(\"gradient [G/cm]\")\n",
|
|
"ax1.set_ylabel(\"relative precision\")\n",
|
|
"\n",
|
|
"new_tick_locations = data[\"power\"][::2]/si.uW\n",
|
|
"\n",
|
|
"ax2.set_xlim(ax1.get_xlim())\n",
|
|
"ax2.set_xticks(new_tick_locations)\n",
|
|
"#ax2.set_xticklabels(new_tick_locations)\n",
|
|
"ax2.set_xlabel(r\"power [uW]\")\n",
|
|
"\n",
|
|
"ax1.legend()\n",
|
|
"ax1.grid()\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 8,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1000x500 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"fig = plt.figure(figsize=(10,5))\n",
|
|
"ax1 = fig.add_subplot(111)\n",
|
|
"ax2 = ax1.twiny()\n",
|
|
"\n",
|
|
"ax1.set_yscale(\"linear\")\n",
|
|
"ax1.plot(data[\"gradient\"]/si.G*si.cm,data[\"gradient_step\"]/si.G*si.cm,\"o\",label=\"gradient\")\n",
|
|
"#ax1.plot(data[\"gradient\"]/si.G*si.cm,data[\"power_step\"]/si.uW,\"o\",label=\"power\")\n",
|
|
"\n",
|
|
"ax1.set_title(\"absolute precision needed to control atomnumber (532nm, a=180, eta=9)\")\n",
|
|
"ax1.set_xlabel(\"gradient [G/cm]\")\n",
|
|
"ax1.set_ylabel(\"absolute precision [G/cm]\")\n",
|
|
"\n",
|
|
"new_tick_locations = data[\"power\"][::2]/si.uW\n",
|
|
"\n",
|
|
"ax2.set_xlim(ax1.get_xlim())\n",
|
|
"ax2.set_xticks(new_tick_locations)\n",
|
|
"#ax2.set_xticklabels(new_tick_locations)\n",
|
|
"ax2.set_xlabel(r\"power [uW]\")\n",
|
|
"\n",
|
|
"ax1.legend()\n",
|
|
"ax1.grid()\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 9,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1000x500 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"fig = plt.figure(figsize=(10,5))\n",
|
|
"ax1 = fig.add_subplot(111)\n",
|
|
"ax2 = ax1.twiny()\n",
|
|
"\n",
|
|
"ax1.set_yscale(\"linear\")\n",
|
|
"#ax1.plot(data[\"gradient\"]/si.G*si.cm,data[\"gradient_step\"]/si.G*si.cm,\"o\",label=\"gradient\")\n",
|
|
"ax1.plot(data[\"gradient\"]/si.G*si.cm,data[\"power_step\"]/si.uW,\"o\",label=\"power\")\n",
|
|
"\n",
|
|
"ax1.set_title(\"absolute precision needed to control atomnumber (532nm, a=180, eta=9)\")\n",
|
|
"ax1.set_xlabel(\"gradient [G/cm]\")\n",
|
|
"ax1.set_ylabel(\"absolute precision [uW]\")\n",
|
|
"\n",
|
|
"new_tick_locations = data[\"power\"][::2]/si.uW\n",
|
|
"\n",
|
|
"ax2.set_xlim(ax1.get_xlim())\n",
|
|
"ax2.set_xticks(new_tick_locations)\n",
|
|
"#ax2.set_xticklabels(new_tick_locations)\n",
|
|
"ax2.set_xlabel(r\"power [uW]\")\n",
|
|
"\n",
|
|
"ax1.legend()\n",
|
|
"ax1.grid()\n",
|
|
"plt.show()"
|
|
]
|
|
}
|
|
],
|
|
"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
|
|
}
|