LennartNaeve_code/spilling_code/diagonalisation/dysprosium12 (effect of polarisability).ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# So far: 532nm with $180\\alpha_0$. Now investigate different polarisabilities:\n",
    "\n",
    "### Start with $408\\alpha_0$ (theoretical result from Igors paper)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "979.2727155613634Hz\n",
      "0.482874417633589 uK\n"
     ]
    },
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{\\omega_{t r}}{\\omega_{t ax}} \\approx 9.19$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from helpers_clean import *\n",
    "\n",
    "initial_power = 10 * si.uW \n",
    "initial_grad = 1 * si.G/si.cm\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= 1.1 * si.um,\n",
    "    a=408*(4 * np.pi * const.epsilon_0 * const.value(\"Bohr radius\")**3)/(2 * const.epsilon_0 * const.c),\n",
    "\n",
    "    wvl = 532 * si.nm,\n",
    ")\n",
    "axial_width = trap.get_tweezer_rayleigh()\n",
    "zr = float(trap.subs(trap.get_tweezer_rayleigh()))\n",
    "\n",
    "x, y, z = trap.x, trap.y, trap.z\n",
    "\n",
    "print(f\"{float(trap.subs(trap.get_omega_ax_tweezer()))}Hz\")\n",
    "print(f\"{trap.subs(trap.a *2*trap.power_tweezer/(np.pi*trap.waist_tweezer**2)/ const.k) /si.uK} uK\")\n",
    "\n",
    "aspect_ratio = trap.get_omega_r_tweezer() / trap.get_omega_ax_tweezer()\n",
    "_aspect_ratio_latex = sp.latex(trap.omega_r_tweezer / trap.omega_ax_tweezer)\n",
    "display(Math(f\"{_aspect_ratio_latex} \\\\approx {trap.subs(aspect_ratio).evalf():.2f}\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:00<00:00,  1.64it/s]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "0.6209840778664553"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 507.875x507.875 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "powers, atom_number = sweep_power(trap, 4*si.G/si.cm, 100, -0.*zr, 1.1*zr,n_plotpoints=100)\n",
    "calculate_stepsize(powers,atom_number,plot=True)/si.uW"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle 2.88723965552054 \\cdot 10^{-5}$"
      ],
      "text/plain": [
       "2.88723965552054e-5"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "4/3/np.sqrt(3)*zr * np.pi* trap.subs(trap.m * trap.g + trap.mu_b * -1*si.G/si.cm) * trap.subs(trap.waist_tweezer**2/trap.a)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [00:53<00:00,  1.86it/s]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "0.048702907855759286"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 507.875x507.875 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gradients, atom_number = sweep_gradient(trap, 135*si.uW, 50, -0.*zr, 1.1*zr,n_plotpoints=100)\n",
    "\n",
    "calculate_stepsize(gradients,atom_number,plot=True)/si.G*si.cm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "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] = 30*si.uW\n",
    "trap[trap.grad_z] = -1*si.G/si.cm\n",
    "plot_solutions(trap,100,-0.*zr,1.1*zr,display_plot=-2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7.145351712112123e-06"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "zr"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:23<00:00,  1.20it/s]\n",
      "100%|██████████| 100/100 [01:31<00:00,  1.09it/s]\n",
      "  4%|▍         | 1/25 [02:57<1:11:01, 177.58s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For -2.5G/cm (6.078304039223683uW): dB'=0.009000420875420873G/cm (rel: 0.3600168350168349%), dP = 0.17496762501461213uW (rel: 2.878559938521254%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:18<00:00,  1.28it/s]\n",
      "100%|██████████| 100/100 [01:30<00:00,  1.11it/s]\n",
      "  8%|▊         | 2/25 [05:48<1:06:33, 173.63s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For -1.9791666666666665G/cm (13.992919496161797uW): dB'=0.013497828429260821G/cm (rel: 0.6819955416889678%), dP = 0.239409392395256uW (rel: 1.7109323930643998%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:18<00:00,  1.27it/s]\n",
      "100%|██████████| 100/100 [01:28<00:00,  1.13it/s]\n",
      " 12%|█▏        | 3/25 [08:38<1:03:01, 171.89s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For -1.4583333333333335G/cm (21.90753495309991uW): dB'=0.015687466665357818G/cm (rel: 1.0757119999102505%), dP = 0.2795151345972899uW (rel: 1.2758858319554505%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:17<00:00,  1.30it/s]\n",
      "100%|██████████| 100/100 [01:26<00:00,  1.16it/s]\n",
      " 16%|█▌        | 4/25 [11:24<59:20, 169.54s/it]  "
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For -0.9374999999999999G/cm (29.82215041003802uW): dB'=0.017023775314723592G/cm (rel: 1.8158693669038501%), dP = 0.3225161588198536uW (rel: 1.0814651337527152%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:14<00:00,  1.35it/s]\n",
      "100%|██████████| 100/100 [01:26<00:00,  1.15it/s]\n",
      " 20%|██        | 5/25 [14:07<55:48, 167.43s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For -0.4166666666666665G/cm (37.736765866976135uW): dB'=0.023166619808410862G/cm (rel: 5.559988754018609%), dP = 0.38214545167656433uW (rel: 1.0126608438668139%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:17<00:00,  1.29it/s]\n",
      "100%|██████████| 100/100 [01:28<00:00,  1.13it/s]\n",
      " 24%|██▍       | 6/25 [16:56<53:11, 167.97s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 0.10416666666666696G/cm (45.651381323914244uW): dB'=0.02371522099299877G/cm (rel: 22.766612153278757%), dP = 0.4336523036619667uW (rel: 0.9499215381568317%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:16<00:00,  1.31it/s]\n",
      "100%|██████████| 100/100 [01:28<00:00,  1.13it/s]\n",
      " 28%|██▊       | 7/25 [19:44<50:21, 167.86s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 0.625G/cm (53.56599678085235uW): dB'=0.025861525438610308G/cm (rel: 4.137844070177649%), dP = 0.46913859766994714uW (rel: 0.8758141841162282%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:16<00:00,  1.31it/s]\n",
      "100%|██████████| 100/100 [01:27<00:00,  1.15it/s]\n",
      " 32%|███▏      | 8/25 [22:31<47:26, 167.44s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 1.1458333333333337G/cm (61.480612237790474uW): dB'=0.028525570073854017G/cm (rel: 2.489504297354532%), dP = 0.5027965898468174uW (rel: 0.817813244770783%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:15<00:00,  1.33it/s]\n",
      "100%|██████████| 100/100 [01:27<00:00,  1.15it/s]\n",
      " 36%|███▌      | 9/25 [25:16<44:27, 166.72s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 1.666666666666667G/cm (69.39522769472858uW): dB'=0.031042324072129982G/cm (rel: 1.8625394443277987%), dP = 0.5322734649830823uW (rel: 0.767017391058312%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:18<00:00,  1.28it/s]\n",
      "100%|██████████| 100/100 [01:26<00:00,  1.15it/s]\n",
      " 40%|████      | 10/25 [28:04<41:47, 167.16s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 2.1874999999999996G/cm (77.30984315166668uW): dB'=0.03382596515103224G/cm (rel: 1.5463298354757598%), dP = 0.5746470463663551uW (rel: 0.7433038574907089%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:17<00:00,  1.29it/s]\n",
      "100%|██████████| 100/100 [01:20<00:00,  1.25it/s]\n",
      " 44%|████▍     | 11/25 [30:44<38:29, 164.99s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 2.708333333333334G/cm (85.22445860860482uW): dB'=0.03618458029271705G/cm (rel: 1.3360460415772446%), dP = 0.6082268163345592uW (rel: 0.7136763627069245%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:16<00:00,  1.30it/s]\n",
      "100%|██████████| 100/100 [01:25<00:00,  1.17it/s]\n",
      " 48%|████▊     | 12/25 [33:30<35:47, 165.17s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 3.229166666666667G/cm (93.1390740655429uW): dB'=0.03701601704426566G/cm (rel: 1.1463024633062913%), dP = 0.5864578418341457uW (rel: 0.6296582263867574%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:16<00:00,  1.31it/s]\n",
      "100%|██████████| 100/100 [01:28<00:00,  1.13it/s]\n",
      " 52%|█████▏    | 13/25 [36:17<33:10, 165.84s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 3.7499999999999996G/cm (101.05368952248101uW): dB'=0.038554561746371445G/cm (rel: 1.0281216465699052%), dP = 0.6753710112124398uW (rel: 0.6683288996214163%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:15<00:00,  1.33it/s]\n",
      "100%|██████████| 100/100 [01:28<00:00,  1.13it/s]\n",
      " 56%|█████▌    | 14/25 [39:03<30:26, 166.04s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 4.270833333333334G/cm (108.96830497941914uW): dB'=0.04175883638942361G/cm (rel: 0.9777678764352845%), dP = 0.7031540296876457uW (rel: 0.6452830754965405%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:14<00:00,  1.34it/s]\n",
      "100%|██████████| 100/100 [01:26<00:00,  1.15it/s]\n",
      " 60%|██████    | 15/25 [41:48<27:35, 165.54s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 4.791666666666667G/cm (116.88292043635725uW): dB'=0.04644944053045998G/cm (rel: 0.9693796284617735%), dP = 0.7593796763473556uW (rel: 0.6496925928205549%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:14<00:00,  1.34it/s]\n",
      "100%|██████████| 100/100 [01:26<00:00,  1.16it/s]\n",
      " 64%|██████▍   | 16/25 [44:32<24:45, 165.08s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 5.312500000000001G/cm (124.79753589329538uW): dB'=0.05046062067528051G/cm (rel: 0.9498469774170447%), dP = 0.732447774989223uW (rel: 0.5869088437895775%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:19<00:00,  1.26it/s]\n",
      "100%|██████████| 100/100 [01:26<00:00,  1.15it/s]\n",
      " 68%|██████▊   | 17/25 [47:21<22:10, 166.30s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 5.833333333333334G/cm (132.71215135023348uW): dB'=0.04655961561052241G/cm (rel: 0.798164839037527%), dP = 0.7366986685324615uW (rel: 0.5551101847398131%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:17<00:00,  1.29it/s]\n",
      "100%|██████████| 100/100 [01:26<00:00,  1.16it/s]\n",
      " 72%|███████▏  | 18/25 [50:07<19:23, 166.27s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 6.354166666666668G/cm (140.62676680717155uW): dB'=0.046699302105619234G/cm (rel: 0.7349398364163027%), dP = 0.8124759987034786uW (rel: 0.5777534513166698%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:17<00:00,  1.30it/s]\n",
      "100%|██████████| 100/100 [01:25<00:00,  1.17it/s]\n",
      " 76%|███████▌  | 19/25 [52:53<16:36, 166.14s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 6.875G/cm (148.5413822641097uW): dB'=0.05037634970393593G/cm (rel: 0.7327469047845225%), dP = 0.7573339191256605uW (rel: 0.5098470928317503%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:16<00:00,  1.31it/s]\n",
      "100%|██████████| 100/100 [01:25<00:00,  1.17it/s]\n",
      " 80%|████████  | 20/25 [55:38<13:48, 165.76s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 7.395833333333333G/cm (156.4559977210478uW): dB'=0.04929882261673333G/cm (rel: 0.6665756297473803%), dP = 0.7556132646069439uW (rel: 0.4829557675086126%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:16<00:00,  1.31it/s]\n",
      "100%|██████████| 100/100 [01:25<00:00,  1.17it/s]\n",
      " 84%|████████▍ | 21/25 [58:23<11:01, 165.44s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 7.916666666666669G/cm (164.37061317798597uW): dB'=0.05296457430108838G/cm (rel: 0.6690262016979582%), dP = 0.8011650858763456uW (rel: 0.48741382074715356%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:16<00:00,  1.31it/s]\n",
      "100%|██████████| 100/100 [01:26<00:00,  1.15it/s]\n",
      " 88%|████████▊ | 22/25 [1:01:08<08:16, 165.59s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 8.437499999999998G/cm (172.285228634924uW): dB'=0.05526617019451412G/cm (rel: 0.6550064615646118%), dP = 0.9027226666328872uW (rel: 0.5239698573031908%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:15<00:00,  1.32it/s]\n",
      "100%|██████████| 100/100 [01:28<00:00,  1.13it/s]\n",
      " 92%|█████████▏| 23/25 [1:03:56<05:32, 166.04s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 8.958333333333336G/cm (180.19984409186213uW): dB'=0.05932565233328072G/cm (rel: 0.6622398399994126%), dP = 0.9222348923219892uW (rel: 0.5117845117845125%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:18<00:00,  1.27it/s]\n",
      "100%|██████████| 100/100 [01:25<00:00,  1.17it/s]\n",
      " 96%|█████████▌| 24/25 [1:06:43<02:46, 166.34s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 9.479166666666668G/cm (188.11445954880028uW): dB'=0.05943565444407201G/cm (rel: 0.6270134974319684%), dP = 0.8643801666730384uW (rel: 0.45949693008516584%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:18<00:00,  1.28it/s]\n",
      "100%|██████████| 100/100 [01:26<00:00,  1.16it/s]\n",
      "100%|██████████| 25/25 [1:09:30<00:00, 166.83s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 10.0G/cm (196.02907500573835uW): dB'=0.05771730261856986G/cm (rel: 0.5771730261856985%), dP = 0.9232662712688557uW (rel: 0.47098435333729394%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 507.875x507.875 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n_plotpoints = 100\n",
    "\n",
    "many_grad = np.linspace(-2.5,10,25)*si.G/si.cm\n",
    "many_power = np.zeros_like(many_grad)\n",
    "step_grad = np.zeros_like(many_grad)\n",
    "step_power = np.zeros_like(many_grad)\n",
    "\n",
    "data = {\"gradient\":np.zeros_like(many_grad),\n",
    "       \"power\":np.zeros_like(many_grad),\n",
    "       \"gradient_step\":np.zeros_like(many_grad),\n",
    "       \"power_step\":np.zeros_like(many_grad),\n",
    "       \"gradient_rel\":np.zeros_like(many_grad),\n",
    "       \"power_rel\":np.zeros_like(many_grad)\n",
    "       }\n",
    "\n",
    "for i in tqdm(range(len(many_grad))):\n",
    "    initial_grad = many_grad[i]\n",
    "    #print(i)\n",
    "    many_power[i] = 4/3/np.sqrt(3)*zr * np.pi* trap.subs(trap.m * trap.g + trap.mu_b * initial_grad) * trap.subs(trap.waist_tweezer**2/trap.a)\n",
    "\n",
    "    gradients, atom_number = sweep_gradient(trap, many_power[i], 250, -0.*zr, 1.1*zr,n_plotpoints=n_plotpoints)\n",
    "    step_grad[i] = calculate_stepsize(gradients,atom_number,plot=True)\n",
    "\n",
    "    powers, atom_number = sweep_power(trap, initial_grad, 250, -0.*zr, 1.1*zr,n_plotpoints=n_plotpoints)\n",
    "    step_power[i] = calculate_stepsize(powers,atom_number)\n",
    "\n",
    "    print(f\"For {initial_grad/si.G*si.cm}G/cm ({many_power[i]/si.uW}uW): dB'={step_grad[i]/si.G*si.cm}G/cm (rel: {step_grad[i]/np.abs(initial_grad)*100}%), dP = {step_power[i]/si.uW}uW (rel: {step_power[i]/many_power[i]*100}%)\")\n",
    "\n",
    "    data[\"gradient\"][i] = initial_grad\n",
    "    data[\"power\"][i] = many_power[i]\n",
    "    data[\"gradient_step\"][i] = step_grad[i]\n",
    "    data[\"gradient_rel\"][i] = step_grad[i]/np.abs(initial_grad)\n",
    "    data[\"power_step\"][i] = step_power[i]\n",
    "    data[\"power_rel\"][i] = step_power[i]/many_power[i]\n",
    "\n",
    "\n",
    "# Save dictionary to numpy file\n",
    "np.savez(\"sweeps_532_alpha408.npz\",gradient=data[\"gradient\"], power = data[\"power\"],gradient_step = data[\"gradient_step\"],gradient_rel = data[\"gradient_rel\"],power_step = data[\"power_step\"],power_rel = data[\"power_rel\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x750 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, eta=9, 408$\\alpha$)\")\n",
    "ax1.set_xlabel(\"gradient [G/cm]\")\n",
    "ax1.set_ylabel(\"relative precision\")\n",
    "\n",
    "new_tick_locations = data[\"power\"]/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": "markdown",
   "metadata": {},
   "source": [
    "## Try the same with $50\\alpha_0$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2028.1150937249367Hz\n",
      "2.07115252661466 uK\n"
     ]
    },
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{\\omega_{t r}}{\\omega_{t ax}} \\approx 9.19$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from helpers_clean import *\n",
    "\n",
    "initial_power = 350 * si.uW \n",
    "initial_grad = 6 * si.G/si.cm\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= 1.1 * si.um,\n",
    "    a=50*(4 * np.pi * const.epsilon_0 * const.value(\"Bohr radius\")**3)/(2 * const.epsilon_0 * const.c),\n",
    "\n",
    "    wvl = 532 * si.nm,\n",
    ")\n",
    "axial_width = trap.get_tweezer_rayleigh()\n",
    "zr = float(trap.subs(trap.get_tweezer_rayleigh()))\n",
    "\n",
    "x, y, z = trap.x, trap.y, trap.z\n",
    "\n",
    "print(f\"{float(trap.subs(trap.get_omega_ax_tweezer()))}Hz\")\n",
    "print(f\"{trap.subs(trap.a *2*trap.power_tweezer/(np.pi*trap.waist_tweezer**2)/ const.k) /si.uK} uK\")\n",
    "\n",
    "aspect_ratio = trap.get_omega_r_tweezer() / trap.get_omega_ax_tweezer()\n",
    "_aspect_ratio_latex = sp.latex(trap.omega_r_tweezer / trap.omega_ax_tweezer)\n",
    "display(Math(f\"{_aspect_ratio_latex} \\\\approx {trap.subs(aspect_ratio).evalf():.2f}\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:24<00:00,  1.18it/s]\n",
      "100%|██████████| 100/100 [01:30<00:00,  1.10it/s]\n",
      "  4%|▍         | 1/25 [02:57<1:11:05, 177.73s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For -2.5G/cm (49.59896096006525uW): dB'=0.009000420875420873G/cm (rel: 0.3600168350168349%), dP = 1.427735820119235uW (rel: 2.878559938521254%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:18<00:00,  1.28it/s]\n",
      "100%|██████████| 100/100 [01:32<00:00,  1.08it/s]\n",
      "  8%|▊         | 2/25 [05:51<1:07:10, 175.26s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For -1.9791666666666665G/cm (114.18222308868025uW): dB'=0.0134978284292608G/cm (rel: 0.6819955416889668%), dP = 1.9535806419452895uW (rel: 1.7109323930644005%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:18<00:00,  1.27it/s]\n",
      "100%|██████████| 100/100 [01:29<00:00,  1.12it/s]\n",
      " 12%|█▏        | 3/25 [08:41<1:03:23, 172.91s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For -1.4583333333333335G/cm (178.7654852172952uW): dB'=0.015687466665357818G/cm (rel: 1.0757119999102505%), dP = 2.280843498313885uW (rel: 1.275885831955451%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:17<00:00,  1.29it/s]\n",
      "100%|██████████| 100/100 [01:26<00:00,  1.15it/s]\n",
      " 16%|█▌        | 4/25 [11:27<59:37, 170.37s/it]  "
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For -0.9374999999999999G/cm (243.3487473459102uW): dB'=0.017023775314723592G/cm (rel: 1.8158693669038501%), dP = 2.631731855970006uW (rel: 1.0814651337527157%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:14<00:00,  1.34it/s]\n",
      "100%|██████████| 100/100 [01:27<00:00,  1.15it/s]\n",
      " 20%|██        | 5/25 [14:12<56:07, 168.37s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For -0.4166666666666665G/cm (307.9320094745252uW): dB'=0.023166619808410862G/cm (rel: 5.559988754018609%), dP = 3.118306885680766uW (rel: 1.0126608438668145%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:18<00:00,  1.28it/s]\n",
      "100%|██████████| 100/100 [01:29<00:00,  1.12it/s]\n",
      " 24%|██▍       | 6/25 [17:02<53:29, 168.93s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 0.10416666666666696G/cm (372.51527160314015uW): dB'=0.02371522099299877G/cm (rel: 22.766612153278757%), dP = 3.5386027978816506uW (rel: 0.9499215381568324%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:16<00:00,  1.30it/s]\n",
      "100%|██████████| 100/100 [01:28<00:00,  1.13it/s]\n",
      " 28%|██▊       | 7/25 [19:51<50:38, 168.78s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 0.625G/cm (437.09853373175514uW): dB'=0.025861525438610308G/cm (rel: 4.137844070177649%), dP = 3.8281709569867632uW (rel: 0.8758141841162272%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:16<00:00,  1.31it/s]\n",
      "100%|██████████| 100/100 [01:28<00:00,  1.13it/s]\n",
      " 32%|███▏      | 8/25 [22:39<47:46, 168.63s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 1.1458333333333337G/cm (501.6817958603702uW): dB'=0.028525570073854017G/cm (rel: 2.489504297354532%), dP = 4.10282017315003uW (rel: 0.8178132447707832%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:15<00:00,  1.32it/s]\n",
      "100%|██████████| 100/100 [01:26<00:00,  1.16it/s]\n",
      " 36%|███▌      | 9/25 [25:24<44:39, 167.49s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 1.666666666666667G/cm (566.2650579889851uW): dB'=0.031042324072129982G/cm (rel: 1.8625394443277987%), dP = 4.343351474261947uW (rel: 0.7670173910583113%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:18<00:00,  1.27it/s]\n",
      "100%|██████████| 100/100 [01:27<00:00,  1.14it/s]\n",
      " 40%|████      | 10/25 [28:13<42:01, 168.08s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 2.1874999999999996G/cm (630.8483201176uW): dB'=0.03382596515103224G/cm (rel: 1.5463298354757598%), dP = 4.689119898349459uW (rel: 0.7433038574907092%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:17<00:00,  1.30it/s]\n",
      "100%|██████████| 100/100 [01:20<00:00,  1.24it/s]\n",
      " 44%|████▍     | 11/25 [30:54<38:41, 165.83s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 2.708333333333334G/cm (695.4315822462152uW): dB'=0.03618458029271705G/cm (rel: 1.3360460415772446%), dP = 4.963130821290001uW (rel: 0.7136763627069242%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:17<00:00,  1.29it/s]\n",
      "100%|██████████| 100/100 [01:25<00:00,  1.16it/s]\n",
      " 48%|████▊     | 12/25 [33:40<35:57, 165.96s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 3.229166666666667G/cm (760.01484437483uW): dB'=0.037016017044265624G/cm (rel: 1.1463024633062904%), dP = 4.7854959893666305uW (rel: 0.6296582263867576%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:16<00:00,  1.31it/s]\n",
      "100%|██████████| 100/100 [01:28<00:00,  1.12it/s]\n",
      " 52%|█████▏    | 13/25 [36:29<33:20, 166.73s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 3.7499999999999996G/cm (824.5981065034449uW): dB'=0.038554561746371445G/cm (rel: 1.0281216465699052%), dP = 5.511027451493509uW (rel: 0.6683288996214164%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:15<00:00,  1.32it/s]\n",
      "100%|██████████| 100/100 [01:28<00:00,  1.13it/s]\n",
      " 56%|█████▌    | 14/25 [39:15<30:33, 166.71s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 4.270833333333334G/cm (889.1813686320601uW): dB'=0.04175883638942361G/cm (rel: 0.9777678764352845%), dP = 5.737736882251181uW (rel: 0.6452830754965396%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:15<00:00,  1.32it/s]\n",
      "100%|██████████| 100/100 [01:27<00:00,  1.14it/s]\n",
      " 60%|██████    | 15/25 [42:02<27:45, 166.58s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 4.791666666666667G/cm (953.7646307606749uW): dB'=0.04644944053045998G/cm (rel: 0.9693796284617735%), dP = 6.196538158994412uW (rel: 0.6496925928205539%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:14<00:00,  1.34it/s]\n",
      "100%|██████████| 100/100 [01:27<00:00,  1.14it/s]\n",
      " 64%|██████▍   | 16/25 [44:47<24:54, 166.11s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 5.312500000000001G/cm (1018.34789288929uW): dB'=0.05046062067528051G/cm (rel: 0.9498469774170447%), dP = 5.976773843912057uW (rel: 0.5869088437895775%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:19<00:00,  1.26it/s]\n",
      "100%|██████████| 100/100 [01:27<00:00,  1.15it/s]\n",
      " 68%|██████▊   | 17/25 [47:36<22:17, 167.13s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 5.833333333333334G/cm (1082.931155017905uW): dB'=0.046559615610522326G/cm (rel: 0.7981648390375256%), dP = 6.0114611352248986uW (rel: 0.5551101847398144%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:17<00:00,  1.29it/s]\n",
      "100%|██████████| 100/100 [01:26<00:00,  1.15it/s]\n",
      " 72%|███████▏  | 18/25 [50:24<19:30, 167.15s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 6.354166666666668G/cm (1147.51441714652uW): dB'=0.046699302105619234G/cm (rel: 0.7349398364163027%), dP = 6.629804149420387uW (rel: 0.5777534513166699%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:17<00:00,  1.29it/s]\n",
      "100%|██████████| 100/100 [01:26<00:00,  1.16it/s]\n",
      " 76%|███████▌  | 19/25 [53:10<16:41, 166.98s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 6.875G/cm (1212.097679275135uW): dB'=0.05037634970393593G/cm (rel: 0.7327469047845225%), dP = 6.1798447800653955uW (rel: 0.5098470928317509%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:16<00:00,  1.30it/s]\n",
      "100%|██████████| 100/100 [01:25<00:00,  1.16it/s]\n",
      " 80%|████████  | 20/25 [55:56<13:52, 166.59s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 7.395833333333333G/cm (1276.6809414037498uW): dB'=0.04929882261673321G/cm (rel: 0.6665756297473786%), dP = 6.165804239192664uW (rel: 0.4829557675086129%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:16<00:00,  1.31it/s]\n",
      "100%|██████████| 100/100 [01:26<00:00,  1.16it/s]\n",
      " 84%|████████▍ | 21/25 [58:41<11:04, 166.23s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 7.916666666666669G/cm (1341.2642035323652uW): dB'=0.05296457430108824G/cm (rel: 0.6690262016979565%), dP = 6.537507100750992uW (rel: 0.4874138207471545%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:16<00:00,  1.31it/s]\n",
      "100%|██████████| 100/100 [01:26<00:00,  1.15it/s]\n",
      " 88%|████████▊ | 22/25 [1:01:27<08:18, 166.07s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 8.437499999999998G/cm (1405.8474656609797uW): dB'=0.05526617019451412G/cm (rel: 0.6550064615646118%), dP = 7.36621695972435uW (rel: 0.5239698573031901%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:16<00:00,  1.31it/s]\n",
      "100%|██████████| 100/100 [01:28<00:00,  1.12it/s]\n",
      " 92%|█████████▏| 23/25 [1:04:15<05:33, 166.76s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 8.958333333333336G/cm (1470.4307277895948uW): dB'=0.05932565233328072G/cm (rel: 0.6622398399994126%), dP = 7.525436721347418uW (rel: 0.5117845117845116%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:19<00:00,  1.25it/s]\n",
      "100%|██████████| 100/100 [01:25<00:00,  1.17it/s]\n",
      " 96%|█████████▌| 24/25 [1:07:03<02:47, 167.14s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 9.479166666666668G/cm (1535.01398991821uW): dB'=0.05943565444407201G/cm (rel: 0.6270134974319684%), dP = 7.053342160051985uW (rel: 0.45949693008516534%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:19<00:00,  1.26it/s]\n",
      "100%|██████████| 100/100 [01:27<00:00,  1.14it/s]\n",
      "100%|██████████| 25/25 [1:09:54<00:00, 167.77s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For 10.0G/cm (1599.5972520468247uW): dB'=0.05771730261856986G/cm (rel: 0.5771730261856985%), dP = 7.533852773553869uW (rel: 0.4709843533372945%)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 507.875x507.875 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n_plotpoints = 100\n",
    "\n",
    "many_grad = np.linspace(-2.5,10,25)*si.G/si.cm\n",
    "many_power = np.zeros_like(many_grad)\n",
    "step_grad = np.zeros_like(many_grad)\n",
    "step_power = np.zeros_like(many_grad)\n",
    "\n",
    "data = {\"gradient\":np.zeros_like(many_grad),\n",
    "       \"power\":np.zeros_like(many_grad),\n",
    "       \"gradient_step\":np.zeros_like(many_grad),\n",
    "       \"power_step\":np.zeros_like(many_grad),\n",
    "       \"gradient_rel\":np.zeros_like(many_grad),\n",
    "       \"power_rel\":np.zeros_like(many_grad)\n",
    "       }\n",
    "\n",
    "for i in tqdm(range(len(many_grad))):\n",
    "    initial_grad = many_grad[i]\n",
    "    #print(i)\n",
    "    many_power[i] = 4/3/np.sqrt(3)*zr * np.pi* trap.subs(trap.m * trap.g + trap.mu_b * initial_grad) * trap.subs(trap.waist_tweezer**2/trap.a)\n",
    "\n",
    "    gradients, atom_number = sweep_gradient(trap, many_power[i], 250, -0.*zr, 1.1*zr,n_plotpoints=n_plotpoints)\n",
    "    step_grad[i] = calculate_stepsize(gradients,atom_number,plot=True)\n",
    "\n",
    "    powers, atom_number = sweep_power(trap, initial_grad, 250, -0.*zr, 1.1*zr,n_plotpoints=n_plotpoints)\n",
    "    step_power[i] = calculate_stepsize(powers,atom_number,plot=True)\n",
    "\n",
    "    print(f\"For {initial_grad/si.G*si.cm}G/cm ({many_power[i]/si.uW}uW): dB'={step_grad[i]/si.G*si.cm}G/cm (rel: {step_grad[i]/np.abs(initial_grad)*100}%), dP = {step_power[i]/si.uW}uW (rel: {step_power[i]/many_power[i]*100}%)\")\n",
    "\n",
    "    data[\"gradient\"][i] = initial_grad\n",
    "    data[\"power\"][i] = many_power[i]\n",
    "    data[\"gradient_step\"][i] = step_grad[i]\n",
    "    data[\"gradient_rel\"][i] = step_grad[i]/np.abs(initial_grad)\n",
    "    data[\"power_step\"][i] = step_power[i]\n",
    "    data[\"power_rel\"][i] = step_power[i]/many_power[i]\n",
    "\n",
    "\n",
    "# Save dictionary to numpy file\n",
    "np.savez(\"sweeps_532_alpha50.npz\",gradient=data[\"gradient\"], power = data[\"power\"],gradient_step = data[\"gradient_step\"],gradient_rel = data[\"gradient_rel\"],power_step = data[\"power_step\"],power_rel = data[\"power_rel\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x750 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, eta=9, 50$\\alpha$)\")\n",
    "ax1.set_xlabel(\"gradient [G/cm]\")\n",
    "ax1.set_ylabel(\"relative precision\")\n",
    "\n",
    "new_tick_locations = data[\"power\"]/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": "markdown",
   "metadata": {},
   "source": [
    "--------------\n",
    "\n",
    "## Try to implement root finding to find power/gradient for max_atoms"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [],
   "source": [
    "trap[trap.grad_z] = 6*si.G/si.cm\n",
    "\n",
    "def solutions_power(power,n_levels=200):\n",
    "    trap[trap.power_tweezer] = power\n",
    "    return plot_solutions(trap,n_levels,-0.5*zr,1.9*zr,plot=False, ret_num=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle 0.000135244828296454$"
      ],
      "text/plain": [
       "0.000135244828296454"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "4/3/np.sqrt(3)*zr * np.pi* trap.subs(trap.m * trap.g + trap.mu_b * trap.grad_z) * trap.subs(trap.waist_tweezer**2/trap.a)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dtype('int32')"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "solutions_power(135*si.uW*1.2).dtype"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [],
   "source": [
    "f = lambda x: solutions_power(x) - 10\n",
    "\n",
    "root_10 = root_scalar(f,bracket=[135*si.uW,135*si.uW*2]).root"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "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] = root_10\n",
    "plot_solutions(trap,200,-0.5*zr,1.9*zr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [01:14<00:00,  1.35it/s]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "0.6927697957581859"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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AM/gtW6SVKyXJUmGh1KuXVFgozSnwqNu3EmRPbKnuv/+tem9cG7MhL0l2uz0oCxuCbWoBAJdc6JayFate185J03RoziYNu7tVoHrfssUX5g+O9mrRktNV/tTeK3TnlAztMboo3SrXZa/PD6x8F8sBX5eI7qMHADRPgS1l5+fLsNsDM+PTVS7D6BU8g15e3br3F3qwcLj2GKdXvqucVKVkSZWSPGkpzTLkLwWCHgBwSXlNU8feWy/p9JaySdn95EhL0WWvz9czc5ZoYp5Ny5f7ZtDPHPWp2q57S5WTXlfyqe+wpSYrbVSOnF07y5Hq26gmFifdNQaCHgBwyYS2z7m3lSlpQF/ZHA51mjZF5RMe0VDl6qPC8cG35Sur1OEnPybYw4Bn9ACAS6L2BjRX/OTHKv/pVDl7dFPG8sUyTk2srnhltXY/nh+0ml2sz6BvKJ7RAwCanNc0tXtWvpIG9VfGMl+wd5r+iMonPKLSe0ar49gxcmZ0U3xaqi7v2lnmwQqljrhTbb8/lOo9zAh6AECDhU6+kxSo0HfPytfW4aMCxzqYWNeowtpHDwBoHvy34v2T7/xS7him3hvXquuzT0uS2ufeF/M98JGGoAcANJi/fc69reyMz2wOhxzJ7SRJrW8cyG36RkbQAwAaxGuasmpqZE9K1N75z8nyeII+tzwe7V2wSI4032x6NC6e0QMALlpoO52raIO25uQqfdyDcmZ0k7u0THsXLAqsakc13/horwMAXJTa7XQdx42Rs0c3/XvRUu1f8qK8lVWB42ifa5iGZiNBDwC4YKFr2Ru1NiDzVFbq01tHqOrzL9Rl7my1HpxNJd8ADc1GntEDAC5YoJ1u3JigkJcke4sWumr6z+Q5/pWMuDhCvokR9ACAC1ZfO52fM6Nb0HFoOgQ9AOCCna2dTpLcpWVBx6HpEPQAgAvm341u7/xFtNNFOIIeAHDBbA6HrnzkYbmKilWakyvX+hKZh4/Itb5EpTmj5SoqVqdpU3g+HwHoowcAXBCvacpVtEGuDR9Ikr7a8n+sZR/BCHoAwHkLXSBHkowWl6lDzl3sJR+huHUPADgv/gVynN27KnPlUvX5pFiZK5cqIaO79i18QYbDoTZDBhHyEYYFcwAA53S2BXIsj0el94yWe/sO9d64lqC/xFgwBwAQdmdbIMew29Vx7BiZByrkKtrQRFeI+hD0AIBzYoGc6EXQAwDOiQVyohdBDwA4p6TsfnKkprDffBSivQ4AUC9/z7x5sEIJ38jUsX+8p9Kc0b5tadlvPiow6x4AUKe6euZlM2Rv2VKe418G3mK/+fBqaDZS0QMAzuDvmU8a1F8d5+fL2aOb3NvKtHe+r3rv8JMfs0BOlKCiBwAEoWc+stBHDwC4pOiZjy0EPQAgCD3zsYWgBwAEeE1TVfv2S6JnPlYwGQ8AmrHa7XPuHTt16NU3fJW6zaY9859TYt/rz3hGT898dCHoAaAZqTfYT0nK7qeqqfO09YNjil/2pIycXHUc9yA981GMWfcA0EzU1ReflN1PlbeMVdH0FeqWGaftNz+hvEk2WZZkGJbyrpirO6yFgePpmW98Dc1Ggh4AYpi/gj/y1hodLFylpEH9VfnDh0KC3ZBlGZIsGYahkSOlyZOlggKpsNDSe4/+SXHPP6b0yePVcdwYKvlGxoI5AIA6BVXwNpuSsvvp7RuWKO9eQ5bVR9plyXjzdLBPnGjo3Xd9/9yzp+/35csNHbvmB0rWY7qsQ3tCPgox6x4AYpB/ZTtn966qyX1MG9wDtKPfZOVNsmnkSEObN0s33WTIsk4H+8SJvnMLCqQtW3y/G4aUbpVLYpZ9tOLWPQDEEK9p6tg7RSp/eKpafvNavZ21JOjWvOQL+Z49pdWrpVtvlXJyTt+qX77cd/ve94xeemaOV0NLcuUuYyW8psLKeAAASb4q/uOsIdr+wEPyuI6r6vbxQRX8sGGGpNMV+8qVkmSpsFDq1UsqXO7Vz3u/pI8KN2v1ii/1UeFmDS3JlauoWJ2mTSHkoxQVPQDEgNqb0Dgze2jfwhd0aM4mDbu7VaCC37LFF+iGIV/FLq+m9l6hO6dkaI/RRYmbVqnFa3PlrawKfC+z7Jsek/EAoJnzmqZ2z8pX0qD+yli2WMfee1/7Fr6gdJXLMHqpoOD0rXnDsPTanK2ydbgyEOyVk6qUfOq7bKnJShuVw850MYSKHgCi3NG167Tt3jHKXLlUSQP6Bu0+tyZriSbm1d8XH5earJQfDSPYIxgVPQA0U/4e+cNvvCXp9CY0NodDnaZNUfmERzRUufqocLz2GF2UbpUr/tUtOv6+lDriTrX9/lCCvRkg6AEgCtW1yp17W5mSBvSVpMAz9d2z8mVOGqFkSZWSPGkp6jJvNs/cmxFu3QNAlKk98a7juDFq0fnr+uTbw5RwbYYyli8J2oTGU1mpT4eNUNUXX6jL3NlqPTibCj7KsAQuADQjtZ+/ZyxbHAj1QPhn96t3Exqq+OjEM3oAaEZcRRtkHqhQx/n5QZW7P8Q/m/GEtg4fFXjfwa36Zo+gB4Ao4t9S1j/xrraUO4YpcUBffXzdIKXcdbva3fI9JtuBlfEAIJr415t3byur8/PK8n9Jktrd8j21GTKIkAdBDwDRJCm7nxxpKdq7YJEsjyfoM8vj0d4Fi+RI8/XDAxJBDwBRw9833+bmm+RaV6ytOblyrS+RefiIXOtLVJozmnXpcQZm3QNAFKirb152u1Srqmdd+tjErHsAiHFBffPz8+Xs0U3ubWXaM3ehjr9fwip3OCsqegCIYPX1zUu+Z/Kl94yWezt7xccy9qMHgBgW6JsfNyYo5CXJsNvVcewYmQcq5Cra0ERXiEhH0ANABDtb37wkOTO6BR0HhCLoASCCnatv3l1aFnQcEIqgB4AIRt88GoqgB4AI5t9bnr55XCza6wAgQvkXyLFMU472aTpe/IG21pp0x4Y1OB8EPQBEoLoWyDEuv1zt7x8hZ9fOcqSm0DeP88KtewCIMP4Fcpzduypz5VL1+aRYmSuXKvH6Xtq38AUZDgcb1uC8sWAOAEQQFshBKBbMAYAYwgI5uNQIegCIICyQg0uNoAeACMICObjUCHoAiCCBBXLms0AOLg2CHgAihL9vvvXgQXIVsUAOLg1m3QNABKirb15xdqnmdFXvSEtRp2lTWCCnmWloNrJgDgA0MX/ffNKg/uo4P1/OHt3k3lamPfMW6vj6EqWOuFNtvz+UBXJwUcJ+637nzp26+eab1bJlS3Xv3l1vvfVWuH8kAEQNr2lq96x8JQ3qr4xli5U0oK8c7doqaUBfZRY+r6RB/XV07buEPC5aWIPe6/Xqtttu05AhQ3T8+HHNmzdPd911l7766qtw/lgAiApe09TeBYvom0dYhfXW/YYNG3Ty5En94he/kGEY+u53v6uioiLFxfHEAEDz459sZx6skHvHTh169Q365hF2YU3cLVu2KDMzU2PHjtXLL7+s9PR0zZs3Ty1atAjnjwWAJlc71B2pKTIPHdLnTz0TNNkuKbufDg8bq00L/qEW/7NbvYa3PeN76JtHQ4U16I8ePao333xTzz77rH7zm9/o1Vdf1a233qodO3aobdsz/4UGgFhQ5wx6SUnZ/VU56RkVTV+hbplx2pj1hPImGbKsu2WMsPTMPq9++vDpJ6r0zeNSCGvQx8fHq1OnTnrwwQclSXfffbeeeOIJFRcX64c//GG955mmGfhnm80me8hzKwCINP4K/shba3SwcJWSBvVX1c/m6Yuaq1XzWK56XJeot7OWKO9eQ5bVR9plyXjT0MiR0uTJUkGBoYl50qD2m3Xt0E5yl5Zp74JFchUVq8u82UzEa2Y8Ho+8Xq+k4Ey8GGGdjNetWzcdP3486L3aF1+fhIQExcfHKz4+XjNnzgznJQJAg1W8slofZw3RtnvH6OCKV5SU3U9v37BE143opVvvaa3/KF+p37f4b+VNsmnkSEObN0s33WTIsnwh37On73fLMvTO2N/qw2/219bho+Qu26Eu82bTN98MzZw5M5CDCQkJDfqusAb90KFDZbfb9eSTT8rr9WrZsmXav3+/Bg8efNbzTpw4oerqalVXV2v69OnhvEQAaJDae8fX5D6mDe4B2tFv8qlQlzZvlkbm2FTwYsegYJ840Xd+QYG0ZYvvd8OwdP3YmyVJ6ZPHq/fGtYR8MzV9+vRADp44caJB3xX2lfFKS0v1X//1X9q8ebOuvPJK/fa3v1V2dnadx7IyHoBo4TVNHXunSOUPT1XLb17ruy0/yZBlGZIsSb7KvWdPX5D36iUZhmrdqpeWL7dkGL7K3jCkZ+Z4NbQkV+4y9pvHaQ3NRpbABYALFDrZrsWcl3TdiF6BEJ8xQ1q9WsrJOR3qhYWWpv3c0qwnbb5gl1dTe6/QnVMytMfoonSrXJe9Pj/wTJ5KHn4EPQA0otrL1Toze2jfwhd0aM4mDbu7VZ0VvK9at/TTVk9o9PfKVXXbBO0xuihx0yq1eG2uvJVVge9mLXvUhbXuAaCRhC5Xe+y997Vv4QtKV7kMo5cKCk5X8IZh6bU5W2XrcKXSrXIZi0rken+nVDRCyae+z5aarLRROXJ27SxHagrL3CIsqOgB4DwdXbtO2+4do8yVS5U0oK+8pqmPs4bI2b2r1mQt0cQ8W6CCz7tiru6wFgbOdaSl6MqpeXIktwssokOw43xQ0QNAIwldrtbmcKjTtCkqn/CIhipXHxWODzxvj391i46/L3aeQ5Mj6AHgPHhNU1X79kuS3NvKlDSgryQFnqfvnpUvc5LvtnylJE9aCpPqEBG4dQ8A5xA0y95mU+KALGUuXxK025ynslKfDhuhqi++UJe5s9V6cDYVPC6JhmZj2PejB4BoVntBnMyVS3X144/qeNEGlebkyrW+RObhI3KtL9H2UQ/J/c9SXf34L9X2O0MIeUQMKnoAqEftyXYZyxYHKviKV1Zr9+P5QVvH0hqHcKGiB4AwcRVtkHmgQh3HjQm6TZ9yxzD1/mCtvjY1TxLL1SKyEfQAUI/QWfa12RwOpY38D0nSZR3ac6seEYugB4B6OFJTJPlm2dfFXVoWdBwQiQh6AKhHUnY/OdJStHf+IlkeT9BnlsejvQsWyZHmW/gGiFQEPQDUwWuachVtUMvreslVVHzGLPvSnNFyFRWr07Qp3LZHRGPWPQCECN2dTpKMuDhZNTWB18yyR2NhCVwAuIRq707XcX6+nD26yb2tTHvmLdTx9SUsaYuoQ0UPAKfU1zcv+Z7Jl94zWu7tO9R741pCHo2GPnoAuETq65uXJMNuV8exY2QeqJCraEMTXSFw4Qh6ADjlbH3zkuTM6BZ0HBANCHoAOIW+ecQigh4ATqFvHrGIoAfQ7HlNU0fXrtOhV1YradCAU33zo+mbR0xg1j2AZq2unnkZhuwtE+T58qvAW/TNo6nQRw8AF6m+nvm985+Tq2iDOvzkx3J27SxHagp984haVPQAmiV65hEt6KMHgItAzzyaC4IeQLNEzzyaC4IeQLNEzzyaC4IeQLMU6JlfQM88YhtBD6DZ8e813+bmm+RaV6yt7DWPGMasewDNSp1983a7VKuqp2cekYQ+egA4T7X75qt+Nk971EXpKlf8K3N1/H32mkdsoqIHEPO8pqlj7xSp/OGpavnNa/V21hLlTbLJsiTDkJ6Z49XQjbn0zSMiUdEDQAj/M3jzYIXcO3bq0KtvBNrkqm4fr7wRNo0cKU2eLBUUSBPzbPqocLzMSSN8z+6HDGriEQCXDkEPIOqdLdgl3wz7gzfeq4//uEkJ+7vKsnwh37On7/fly6U9Rhcli755xB6CHkBUq2tyXVJ2P1VOfkZF01eoW2acNmY9obxJhixrjPSwJcPwVfL+it4wpHSrXJWibx6xh2f0AKKOv4I/8tYaHSxcpaRB/VX5w4cCwb79Zn+wG5IsGYYRdKt++XLfe0HP6Ety5S7jGT0iT0OzkaAHEFWCKnibTUkDsvR21vP1BvvEidK770qbN/tu1W/ZIvXqJc372U5d1StV6Va5Lnt9vlxFxeoybzYtdYg4bGoDoNnwt8c5u3dVTe5j2uAeoB39Jitvkk0jRxravFm66SYj6Bn8xIm+cwsKfCFfUCAZ8qr97/9LyXnXq3LSCLnLdhDyiFlU9AAimv82ffW+/fr8yTlK+Eam3r5hSVAFLxmBin31aunWW6WcnPpv1c/JNzX473ep6osv1GXubLUenM3tekQs2usAxKy6JtpV3RbcHjdjhqHVq09Prlu5UpIsFRYaWr7cV73/vPcK3TklQ3uMLqdv1f+zVF3mzVbb7wxpsvEBjYGKHkBEqr2KXcdxY+QuLdNnM57QoTmbNOzuVmc8czcM+Sp2eTW1VrAnblqlFq/NlbeyKvDdLHGLaEJFDyDmeE1Tu2flK2lQf2UsWyzDbpe3qlqSlK5yGUavkPY4S6/N2SpbhysDwV45qUrJp77PlpqstFE5cnbtLEdqCkvcolmhogcQcY6uXadt945R5sqlShrQV5Iv/D/OGiJn965ak7VEE/P8S9hayrtiru6wFgbOj0tNVsqPhhHsiAlU9ABiitc0dey99ZIkZ49ugfdtDoc6TZui8gmPaKhy9VHh+MAz9/hXt+j4+2JTGqAOBD2AiBE6+c69rSxQ0UsKPFP/bMYTqlk3QsmSKiV50lJojwPqQR89gIhQu0c+o3CJHCnJ2jt/kaxa+8RLUvJtP5Azs4fsrRN19ez/Vo8/LlLvjWsJeaAePKMH0ORqP3/3T74LmnU/doycGd3kLi3T3gWLWMUOzQrP6AFEPVfRBpkHKtRxfr4Mu13S6dv0u2fla+vwUYFjHdymBy4It+4BNDn/1rC1J99JvrDvvXGtuj77tCSpfe593KYHLhBBD6DJ+beGdW8rO+Mzm8MhR3I7SVLrGwcymx64QAQ9gCblNU1ZNTWyJyXWOfnO8ni0d8EiOdJ8/fAALgzP6AE0mdB2OldRsbbm5Cp93IN1Tr6jmgcuHLPuATSJ0LXsnT266d+Llmr/khdZlx6opaHZSNADaHR1tdP5eSor9emtI1T1OVvIAlLDs5Fn9AAaXaCdbtyYoJCXJHuLFrpq+s/kOf6VjLg4Qh5oIIIeQKOrr53Oz5nRLeg4ABePoAfQ6M7WTidJ7tKyoOMAXDyCHkCjS8ruJ0daivYuoJ0OCDeCHkCj828561rna6dzrS+RefiIXOtLVJozWq6iYnWaNoXn88AlQB89gEblNU25ijbIW1kpW6uWOr5hk7YWbQh8zlr2wKVF0ANoNKEL5EiSrWWC0u65T86uneVI9d2up5IHLh1u3QNoFLX3m89cuVR9PilW5sqlatX7W9q38AUZDofaDBlEyAOXGAvmAAi7sy2QY3k8Kr1ntNzbd6j3xrUEPRCCBXMARLyzLZBj2O3qOHaMzAMVctV6Vg/g0iDoAYQdC+QATYegBxB2LJADNB2CHkDYBRbIYb95oNER9ADCyt83n9gvS66iYpWyQA7QqJh1DyBs6uqbN+LiZNXUBF6z3zxwdg3NRhbMARAW/r75pEH91XF+vpw9usm9rUx75i3U8fUlSh1xp9p+fygL5ABhRkUP4JKjbx64dKKij37r1q1q0aKFPvvss8b4cQCaiNc0dXTtOu1+PJ++eSBChP3WfU1NjR544AFVVVWF+0cBaEJ1PY+nbx5oemGv6J988kkNHDgw3D8GQCPwV+wHV7yio2vXqcbt1tG167RzyvTAOvYt5ryk3T/+g/bUXEnfPBABwlrR/+///q/+9Kc/adOmTZozZ044fxSAMDvrDHqbTUnZ/fT2DUuUN8Imy5IM/U1TJ6zQrA+uP+MZPX3zQOMJW0VfXV2tBx54QM8995wuv/zycP0YAGHkr+BDK/Z/3f077am5Uon9blBN7mPa4B6gHf0mK2+STSNHSps3SyNzbHrq47v1t2HT6JsHmlDYZt0/+uijcrvdgUreMAzt2rVLV111Vb3n+GcWnjhxIjCz0GazyR4ymQdA+AVV8DabkgZk6e2s55U3yZBlGTIMS7fdaun1P/teS5YkQ5s3Sz17Slu2SL16Sb+5erJuqPpL4HvpmwfOzePxyOv1SvJlY0JCQuTNun/55Zf1/PPPq3Xr1mrdurUk6Zvf/KYKCwvPeW5CQoLi4+MVHx+vmTNnhusSAYSoq4I/s2L3hfkttxh67fXTr4cNMyRJBQW+kC8okAxDyp55tySpfe596vHHReq9cS0hD5zDzJkzAzmYkJDQoO9qtD56Knogsp2rgg+t2BcskMaP1xkVvGHI94zekJ6Z49XQkly5y+iZBy5EVFT0DeFwOAK/CHkg/Pyr2Dm7d9XXfp4neb2qun1CUAUfWrGvWaOg174K3tJrc/6p1Su+1EeFmzW0JJfn8cBFsNvtQVnYEKyMBzRjXtPUsXeKVP7wVLX85rXKWL5YFate185J03RoziYNu7tVHRW7dfoZ/W2WXn/91Cx7w1LeFXN1h7Uw8P08jwcajrXuAVyU0Ha5juN9q9j5e9vTVS7D6KWCAmny5NoV+1Z99cVBxS97UtfEd9T0wgnaY3RRulWu+Fe36Pj7Yh17IIJQ0QPNUO0NZ5yZPbRv4Qvq80mxHO3aBq1TvyZriSbm1V+xsxMdEH5U9AAuiNc0tXtWvpIG9VfGssU69t772rfwBbm3lSlpQF/ZHA51mjZF5RMe0VDl6qPC8fVW7K369tGXJR/KPFghR2oKFTwQgQh6oJlxFW3wbTgzP1+G3a6k7H5ypKVo74JFSuzrW8XOX5Hvfjxf5roRSpZUKcmTlqIu82YHVexthgxqmoEAOC8ROeseQPj4N5Lxbzjjr+Bd64pVes/owCp28WmpurxrZ0m+Cp4eeCA6UdEDzYx/sp3/Vr2k0xX8rHxtHT7q9LF1VPAAogsVPdBM+Fe9q963X/bWSdoz/zlZHk/g85Q7hqlX8Ro5r8mQPbGluv/+t1TwQAxg1j3QDNS185wkJWX3V8dxY+TM6CZ3aZn2LlgkV1ExVTwQQRqajQQ9EONqt9J1HDdGzh7d5N5Wpl3TH9fJHf+STi2zKdEeB0Qigh5AvWr3xGcsW3zGvvBbR/6nTny6VVf+YrIu69Ce9jggAjU0G3lGD8SwQCvduDFBIS9Jht2u9PE/kefYcV3Wob3aDBlEyAMxiKAHYlhoK10oZ0a3oOMAxB6CHohhtVvp6uIuLQs6DkDsIeiBGOU1TVk1NbInJWrv/EVBrXSS7xn93gWL5EjzLV0LIDaxYA4Qg0Lb6VxFxdqak6v0cQ/W2UrHs3kgdjHrHogxdbXT/XvRUu1f8qK8lVWB42ilA6ID7XUAAs7WTueprNSnt45Q1edfqMvc2Wo9OJtKHogCtNcBCDhbO529RQtdNf1n8hz/SkZcHCEPNBMEPRBDaKcDEIqgB2II7XQAQhH0QAxJyu4nR1qK9i6gnQ6AD0EPxAivacpVtEFtbr5JrnW+djrX+hKZh4/Itb5EpTmj5SoqVqdpU3g+DzQjzLoHYkCd29Da7VKtqp52OiA6NTQbWTAHiHJBffPz8wPb0O6Zu1DH3y9R6og71fb7Q9mZDmimqOiBKHaubWhL7xkt9/Yd6r1xLSEPRCn66IFm7Fzb0HYcO0bmgQq5ijY00RUCaGoEPRDF6JsHcC4EPRClvKapqn37JdE3D6B+BD0QhSpeWa2Ps4ZoT8F8yWbTnvnP0TcPoE4EPRBl/LPsnd27qsWcl/Svu57V1nf2qpS+eQB1YNY9EEVqz7J/+4Ylyptkk2VJhmEp74q5usNaGDiWvnkgNjDrHmhG/LPsq24br7xJNo0cKW3eLI0caWjOv3+qmv98TJKUPnm8em9cS8gDIOiBSOQ1TR1du04HV7yio2vXyWua8pqmjr23XpK0R11kWdLkyVLPnr7fLcvQsWt+IEm6rEN7btcDkMTKeEBE8K9Tbx6skHvHTh169Y2gljh7YivJMORxHZckpatchtFLBQW+kC8okAxDSrfKVSlm2QM4jWf0QBM4V7AnZfdT1e0TtEddlLhpleJfmq2k7H6qvGWsiqavULeMOJUNfUIT8/zP6KVn5ng1tCRX7jJWwgNiCWvdA1Gmrg1okrL7qXLyM74Qz4zTxqwnlDfiVIhrlKb2bqHUrLuVd69NltVHxi6vpu5foY8KM7TH6KJ0q1yXvT5frqJidZk3m5AHEEBFDzQCfwV/5K01Oli4SkmD+qvyhw8Fgn37zU8ob5IhyzIkWTIMQyNHnr4tv3z5me8VLvfqT6n/T+lxn0tilj0QqxqajQQ9EGZBFbzNpqQBWXo76/l6g33iROndd32z6Xv2lLZskXr18n1X6HsvPfqBOr1wn9rn3qdOj9IvD8Qi2uuACFZ7cZuv/TxP8npVdfuEU61xhjZvlm66yQiaQT9xou/cggJfoBcUSL6/DAS/ZxhS92t8/9G3vnEgIQ+gTgQ9ECZe09TuWflKGtRfGcsWKz65naQzW+NCg33lSkmyVFjoq9oLl3v1894v6Zk53tPvFfom3132+nyWuAVwVkzGA8LAa5rau2CRbwvZ+fky7PZAy1toa9zpYDe0fLlkyKuf916hO6f4Jtr5Z90nlqzRR4UTmHwH4ILwjB64xEJn1ff5pFiOdm2Dlq9dk7XkdGucvJoaEuwtXpsrb2VV4DtD++glJt8BzQWT8YAI4n8mnzSovxIH9NUXT85R5sqlShrQ94zPq24dX2+wx6UmK+VHw+Ts2lmO1NO35v299/73qOSB2EfQAxGidsWesWyxLK836LVht0s6VfE/nh+0QE5dwU6IA5BYMAeIGP4NZ/zP5A27XZ2mTVH5hEdUes9odRw7Rs6MbopPS9XlXTvLPFih1BF3qu33hxLsAMKGoAcugdobzjh7dAu8739+vntWvrYOHxV435GWoi7zZvN8HUDY0V4HNFDFK6v1cdYQ7V/yB0mSe1tZ0OcpdwxT741r9bWpeZLYQhZA4yLogQaovSBORuESOVKStXf+IlkeT9Bxhs2m4++XyJGWoo7jxnCbHkCjIeiBixS6IE7rGweq0/RH5CoqVuk9o+VaXyLz8BG51peoNGe0XEXF6jSNZWoBNC6e0QMXKXTyncQzeQCRh4oeuEj+9rjak++k08/kuz77tCSpfe59PJMH0GQIeuAi+Ze0DZ18J0k2h0OOU2vbs+EMgKZE0AMXyGuaOrp2nar37Ze9dZL2zH/ujMl3lsejvQsWseEMgCbHM3rgAoSuYy9Jx4s2qDRntDqO8y2I4y4t094Fi9hwBkBEYAlc4DzVXqe+47gxcvboJve2Mu2a/rhO7viX5PUGjmXDGQCXCmvdA40gdB17/yx7yXebfuvI/9SJT7fqyl9M1mUd2rOkLYBLpqHZyDN64DwEWunGjQkKeUky7Halj/+JPMeO67IO7dVmyCBCHkDEIOiB81BfK52fM6Nb0HEAECkIeuA8nK2VTpLcpWVBxwFApCDogXPwmqasmhrZkxLrXMeeVjoAkYz2OuAsQtvpXEXF2pqTq/RxD9JKByAqMOseqEdd7XT/XrRU+5e8KG9lVeA4WukAhBPtdUAYnK2dzlNZqU9vHaGqz79Ql7mz1XpwNpU8gLChvQ4Ig7O109lbtNBV038mz/GvZMTFEfIAIhpBD4TwmqaOvbdeEu10AKIfQQ/UUvHKan2cNUT7l/xBEu10AKIfQQ+c4p985+zeVRmFS+RISaadDkDUI+gB+W7X756Vr6RB/ZWxbLFa3zhQnaY/IldRsUrvGS3X+hKZh4/Itb5EpTmj5SoqVqdpU3g+DyDi0UcPqNbku/n5gcl3/na53bPytXX4qMCxjrQUdZk3m3Y6AFGBih5Q/WvZp9wxTL03rlXXZ5+WJLXPvU+9N64l5AFEDYIe0NnXsrc5HHIkt5Mktb5xILfrAUSVsAb9n//8Z11zzTVKTExUnz599P7774fzxwEXhbXsAcSysD2j37Vrl+677z6tXr1a2dnZeumllzRs2DB99tlnatWqVbh+LHBOXtP0PZM/WCH3jp069OobgVv3rGUPINaEbQnc9957T2+88YYKCgoC77Vr105vv/22rrvuujrPYQlcNFTtEHeknq7A6wt2SUrK7qeq2ydoj7oocdMqtXhtLmvZA4gYUbPWfUlJiQYPHqwDBw4oMTGxzmMIelyos1XnkmRPbCUZhjyu44H3krL7qfKWsSqavkLdMuO0/eYnlDfJJsuSDEOak29q8Nt3sZY9gIjQ0GxslPa68vJy3XHHHZo5c2a9IQ9cqNAtZKVT1fnUeYHqPP6l2WcE+8asJ5R3ryHL6iPtsmS8aWjkSGnyZKmgQMqb4tBHhb+UZ9II1rIHEPXCHvQffPCBfvjDH+qhhx7S5MmTz+sc0zQD/2yz2WQP2VQEzZe/gj/y1hodLFylpEH9VTnpmeAQH3GqOtcoTe3dQqlZd9cb7BMnGnr3Xd8/9+zp+335cmmP0UXJYi17AE3D4/HI6/VKCs7Ei2KF0d/+9jcrMTHRWrx48XkdX11dbUkK+jVjxoxwXiKiyMGX/2xt6jXQKr6iu1WcnmH9c/go65k5HsswvJZkWZLXMgzLysmxrM2bfb+HvnfTTZYl+f7Zsizrz3/2va59jmFY1scvfWwVX9HdOvKP95puwACarRkzZpyRh9XV1Rf1XWEL+rKyMqtly5bWyy+/fN7n+IP+xIkTVnV1tVVdXW3V1NSE6xIRRQ6+/Ger+Iru1j/vfsD6Yv5zVvEV3a2PV3x81hDfvNk69ReAswe7/y8Dki/kf/OMx/rn8AesTb0GWp6L/A8LABqipqYmkIMnTpxoUNCHrY/+ueee04kTJ3T//ferZcuWgV9FRUXnPNfhcAR+cdu+efOapo68vVa7pj+upGzfOvTxpxav2aMusqzTt90nTvSdU1Agbdni+12yZBin31u50vdeYaHUq5dUuNyrn/d+SR8VbtbqFV/qo8LNGlqSy1r2AJqU3W4PysKGaLRZ9+eDWfeoLXSyXebKpUoa0FdH167TtnvHqMWcl3TdiF5BE+mWL7dkGMapZ/ReTe29Qmn33q2Jebag9+6ckqE9Bu10ACJf1LTXnQ+CHn7+LWOTBvWXM7OH9i18QX0+KZajXVt5TVMfZw2Rs3tXrclactYQj39pthKz+6n6tgn1BntcarJSfjRMzq6dA733VPIAIgVBj5hTO8gzli3Wsffe17Z7xwQqein4LwJVt46vN8Tr6qMn2AFEk6joowcuROiWsUnZ/eRIS9HeBYuU2Pd6GXb76S1kH8+XuW6Ekk+da0tNVtqonKAQD3xnrdXyCHYAzQVBj4jiNU0de2+9pNNbxtocDnWaNkXlEx5R6T2j1XHsGDkzuik+LVWXd+0s82CFUkfcqbbfH1pviLcZMqhRxwEAkYKgR8QInXzn3lYWuFUfqOBn5Wvr8FGBcxxpKeoybzYT5wCgHuxHj4jgf+bu7N5VGYVL5EhJPmPL2JQ7hqlX8Ro5r8mQPbGluv/+t+q9cS0hDwBnwWQ8NLnQyXeG3R402c5/qz50y1gCHkBzwGQ8RL3QyXcSt+oB4FLh1j2ajNc0dXTtOh1+4y1Jpyff+aXcMUy9N65V12efliS1z72PW/UAcIGo6NEk6tpitvbkOz+bwyHHqSVvW984kLY4ALhAVPRodLUn3mWuXKreH61TXJvW2jv/uaDJd5JkeTzau2CRHGmne+IBAOePoEej8pqmds/KV9Ig3wY1SQP66rL2qbrqV7+Qq2iDSnNy5VpfIvPwEbnWl6g0ZzQbzABAA3DrHo2qrol30unJd5/NeILJdwBwCRH0aFTmQd8z+dCJd5Iv7BMH9NXH1w1Syl23q90t32O5WgBoIG7do1E5UlMk+Sbe1aWy/F+SpHa3fE9thgwi5AGggQh6NKraG9Qw8Q4Awo+gR6Pyb1DjWlfMxDsAaAQ8o0ejS7ljmKr3H9DnTz0jV9GGwPtMvAOAS4+gR5MwjxyVvF5dOW2yHG3bsE88AIQJQY9G4zVNuYo2qGrffh0sXKXLOl2pK/7rP2UYRlNfGgDELIIejaKuJW9lWTr06hvcqgeAMGIyHsIudMnbPp8UK3PlUrXs9U2VT3hEFa+sbupLBICYxX70CKu69pr3szweld4zWu7tO9R741qezwNAHRqajVT0CKvAkrfjxgSFvCQZdrs6jh0j80BF0Ox7AMClQ9AjbLymqWPvrZdU95K3kuTM8L3vXxoXAHBpEfQIi4pXVuvjrCHav+QPkupf8tZd6nvfvzQuAODSIuhxydWefJdRuESOlGTtnc+StwDQFAh6XFKh+823vnGgOk1/RK6iYpXeM5olbwGgkdFHj0vGa5rau2DRGfvN+/vkd8/KZ695AGhktNfhkghdEKfPJ8VytGsbdIzXNHXkr29rx9hJap97nzo9SiUPAOdCex2ajNc0dXTtOu2cMj3wTL4m9zFtqMzWp/+z+4zjbQ6HHMntJEmtbxxIyANAI+DWPc6bf61682CF3Dt26tCrb/ja4mw2JWX309s3LFHeJEOWdbeMEZae2efVTx8+/XdJJt8BQOMj6Jup2qHtSE1Rq7599GXJh/W+Ng8d0udPPRO0Vn1Sdj8dHjZWmxb8Q537Pay8iTaNHClNniwVFBiamCcNar9Z1w7tJHdpmfYuWCRXUbG6zJtNNQ8AjYRn9M1EvdX4KUZcnKyamnpfS1JSdn9V3vKQiqavULfMOG2/+YlTFbwhyZJkaPNmqWdPacsWqVcv6em2o9WvRZEk3+S7TtOmMPkOAC5AQ7ORir4ZqGvnuKTsfqqaOk9bPzim+GVP6prsdFXdPv6M11/UXK2ax3LV47pEvZ21RHn3GrKsPtIuS8abRqCCnzHD0OrVUkGBv6KXDMPS9WNvlp4vUvrk8eo4bgyVPAA0Mir6GOWv4I+8tUYHC1cpaVB/Vf6w7mrcMCzddqul1/8c+tomy5IMeTXp/n/r6T+kB4J94kTp3Xd1RgVvGPKdY0jPzPFqaEmu3GVsWgMAF4uKHmcIquBrT5Q7SzX+2uuGcnLqfl1QYFPBix0l+V737Hk66EMr+NfmbJWtw5VKt8p12evzeSYPAE2Mij4GhD5/37fwBSUN6q/D3b7jmyj3y4d1+8Rr6q3GFyyQxo+v/3Xtav30ZDtp+XJLhmGcquAt5V0xV3dYCwPXxTN5AGg4Kvpm7ozn73W0uulh39/l6qvG16zxnVrfa3+1Pu3nlmY9adPy5b7b+T/vvUJ3TsnQHqOL0q1yxb+6Rcffl1JH3Km23x+qpOx+VPIA0MSo6KNQXc/fO44bI7PisHaMnaQWc17SdSN61bo1L61erVq34v3VuE4/k7/N0uuvGyGvbYFq/aetntDo75Wr6rYJ2mN0UeKmVWrx2lx5K6sC10UFDwCXXkOzkaCPMmc8fx+QpYzlS2TY7Tq44hXtnDRNh+Zs0rC7W9U/UU5eTT1VjW/ddGqW/eCOqrptwhmv/dW6seiXOrljp+T1Bq4lLjVZKT8aJmfXznKkplDBA0AYcOu+GfFv/5o0qL8Sf3yvvnhyjjqOfzCweYx/T/d0lcswetU7Uc5fjVdOqtLXJSlOOr7h37KKRpzxOllSpXzVeuenZ8mR3C6wiA7BDgCRj4o+CnhNU8feKVL5w1PV8pvXKmP5YlWsel07J00L2jzGa5r6OGuInN27ak3WEk3Ms9U7US60Gj/XyniEOgA0DSr6GBc62a7j+DEy7PZA9e7eVqakAX0l+TaN6TRtisonPKKhVq4+Khx/QRPl2gwZdNbXAIDoQ0UfgeqabOfM7KF9C18IVPC1q/eMZYsDt+8l6eCq17Vr6gwmygFADKCijzF1LXaTsWyxjr33vvYtfCFQwdeu3kvvGa2OY8fImdFN7tIyHXpltbyVVerwkx8zUQ4Amjkq+ggSNNluQF998eQcZa5cqqQBfeut4CteWa3dj+cHbVBD9Q4AsaOh2Wg79yFoDF7T1O5Z+Uoa1F8ZyxYrPrmdJMnZo5uk08/fXeuKVXrPaLnWl8g8fETxaam6vGtnSb7n7z3+uEi9N64l5AEAkrh1HzFcRRtkHqhQx/n59U6284f37ln52jp8VOBcR1qKusybTbgDAM5ARR8h/Lfe/RV8UnY/OdJStHfBIlkeT+C4lDuGqVfxGjmvyZA9saW6//63VPAAgHoR9BGidgUv1X+r3rW+RNtHPST3P0t19eO/VNvvDGGSHQCgXkzGixBMtgMA1IXJeDEiqILPyWWyHQDgkmAyXgRJuWOYvJWV+tfPfyVX0YbA+0y2AwBcLII+wsR3aC95PErNuUuten+LxW4AAA1C0EcY1/slkqT2949UwjU9mvhqAADRjmf0EeZ48UbFtWktZ0a3pr4UAEAMIOgjSI3ruE58WqrEfjfIsPF/DQCg4UiTCHJ844eS16ukAVlNfSkAgBhB0EcQ13rf8/nE/gQ9AODSIOgjyPHijXKkJAf65gEAaCiCPgJ4TVOH/vym3KXb1aLzVbJqapr6kgAAMYIlcJuA1zR9u9UdrJB7x04devUNlrgFANSpodlIH30jq3hltXbPypd54HSwJ2X3U8cF+XL26Cb3tjLtXbBI5RMekSTCHgDQIFT0YRZave9b+IKSBvXXFT/5scp/OlXOjG5Bm9hIkuXxqPSe0XJv36HeG9eyKh4ANGNU9BHsjOrdZlNSdj9lLFusY++9L7PikDo+WxAU8pJk2O3qOHaMtg4fJVfRBrUZMqgJrh4AEAuYjBcmFa+sVvmER+Ts3lWZK5eq67NPS16vOo5/UIbdHngm7+xR9wp4/pXxaj+7BwDgQhH0YeA1Te2ela+kQf2VsWyxkgb0lbeyUtLpYHekpkiS3NvK6vwOd2lZ0HEAAFwMgj4MXEUbZB6oUMdxYwK35UODPSm7nxxpKdq7YJEsjyfofMvj0d4Fi+RI8+1cBwDAxSLow6Cu2/KhwW5zONRp2hS51hWr9J7Rcq0vkXn4iFzrS1SaM1quomJ1mjaFiXgAgAYh6MOgrtvyQcGe4wv21jcN1BXjxujLDz7S1uGj9OE3+2vr8FFyl+1Ql3mzaa0DADRY2NvrNm7cqJ/85CcqKytT7969tXTpUnXuXPcSr7HSXuc1TX2cNUTO7l3PaJ07uOp17Zo6Q97KqsB7canJSvnRMDm7dpYj1Xe7nkoeACA1PBvDGvSVlZX6+te/roKCAv3Hf/yHnnrqKa1Zs0ZFRUV1Hn+pg752D7sjNUWt+vbRlyUf1vva/zz8Qs6p7/WRt9boYOEqJWb3U/q4B+XM6CZ3qW8xHFdRsTr85McEOwDgnCI66N966y1NmTJFn376qSTJ4/EoOTlZGzZsUI8ePc44/lIGfV0r0BlxcUHryIe+tie2kgxDHtfx8z7nXK9lt0u1JtuxvC0A4EI0NBvD+ox+27ZtQYFut9vVuXNnbd26NZw/9owe9quf+KUkKbHfDXW+7vNJsa4YN0ae41+q5TevOa9zzuc7M1cuVWLf6yVJqSPuVI8/LlLvjWsJeQBAownryngnTpyQ0+kMes/pdMrtdoftZ4b2sFter3aMn1Lva8Nul9c0VbHqtfM+53y+U5KSBvRVYt/rVXrPaB1d+66ufvKX3KIHADSqsFb0TqdTJ0+eDHrP7XarZcuWZz3PNM3AL09Ij/m5hPawn+v1xZxzPt/p51/O1jxQIVfRhgsaCwCgefJ4PEFZ2BBhDfoePXqorOx0i5nH41F5ebm6d+9+1vMSEhIUHx+v+Ph4zZw584J+ZmgP+7leX8w55/OdtbGcLQDgQsycOTOQgwkJCQ36rrAG/eDBg3XgwAH94Q9/UHV1tWbNmqXOnTsrIyPjrOedOHFC1dXVqq6u1vTp0y/oZ4b2sJ/r9cWccz7fWRvL2QIALsT06dMDOXjixIkGfVdYg/7yyy/XX//6V82fP1/t2rXTmjVrtHLlynOe53A4Ar/sIbfCzyV0Bbpzvb6Yc87nO/1YzhYAcKHsdntQFjZETO5H7591nzSovzqOHaOTO/+lXb/4byVl91PHcQ+e8dqZ0U3/XrRU/16wKND3fq5zzuc7a/fNs9IdAOBiRHQf/YWKxT56+uYBAA1B0J9FU66MV/s7aakDAFwsgh4AgBgW0SvjAQCApkXQAwAQwwh6AABiGEEPAEAMI+gBAIhhBD0AADGMoAcAIIYR9AAAxDCCHgCAGEbQAwAQwwh6AABiGEEPAEAMI+gBAIhhBD0AADGMoAcAIIYR9AAAxDCCHgCAGEbQAwAQwwh6AABiGEEPAEAMI+gBAIhhBD0AADGMoAcAIIYR9AAAxDCCHgCAGEbQAwAQwwh6AABiGEHfCDwejx577DF5PJ6mvpSwag7jbA5jlBhnLGkOY5SazzgvhmFZltXUF+Fnmqbi4+NVXV0th8PR1JdzycTquEI1h3E2hzFKjDOWNIcxSrE9zoaOjYoeAIAYFtfUF1Cb/+aCaZpNfCWXln88sTauUM1hnM1hjBLjjCXNYYxSbI/TP6aLvQEfUbfu3W63EhISmvoyAACIOCdOnJDT6bzg8yIq6L1eryorKxUXFyfDMJr6cgAAaHKWZammpkYtWrSQzXbhT9wjKugBAMClxWQ8AABiGEEPAEAMI+gBAIhhBD0AADGMoJe0ceNG9erVSwkJCcrOztbOnTvPOMbr9erhhx9Wu3btlJqaql//+tcN/szvyJEjuuqqq/TZZ5+d93kFBQW64oor1KZNG+Xk5OjkyZMxN07TNDVmzBilpKQoNTVVeXl58nq9UTlOSaqqqtINN9ygd999N+j9p556SmlpaWrTps15jzHaxmmapiZMmKD27dsrOTlZ9957r1wuV0yNsbbp06frpptuOuf4onWcy5Yt09VXX63ExET94Ac/UEVFRUyO89FHH1X79u3Vrl073XfffXK73ec1zohjNXMnT560OnToYC1fvtyqqqqyfvWrX1kDBw4847jf/OY3VlZWlnX48GFrx44d1lVXXWX9z//8T4M+syzL+uCDD6xrr73WkmTt2rXrvH7en/70J+vrX/+69a9//cv68ssvraFDh1ozZsyIuXE+88wz1ne+8x3rq6++sg4ePGhlZmZav//976NynNu3b7cGDhxoSbLeeeedwPuvv/661blzZ2v37t3W/v37reuuu85asmTJWccYjeOcNWuWNXDgQKuiosI6fvy4ddttt1mjR4+OqTH6bdq0yYqPj7duvPHGs44vWsdZUlJiJScnWx9//LFVVVVl3X///db9998fc+N87bXXrG984xvWoUOHrOPHj1uDBw8+55+zkarZB/2bb75pXXPNNYHXNTU1VuvWra3S0tKg42644QZr1apVgdcFBQXW8OHDG/TZP//5Tys1NdVaunTpGf/yne28b3/729aLL74Y+Gz//v1B58bKOMeOHWvdfPPNlsvlsg4ePGhde+211ooVK6JunMeOHbPatWtn/frXv7auvPLKoD9M7rrrLis/Pz/w+uWXX7aysrLOOsZoHOe0adOsv/3tb4HXq1evtq699tqYGqNlWVZlZaX1rW99yxo/fvx5B320jTM3N9f61a9+FXh99OhRa9u2bTE3zvz8fOuaa66xDhw4YB0/ftz69re/bT311FPnHGckava37rdt26YePXoEXtvtdnXu3Flbt24963Hdu3cPHHOxn33ta1/Tzp07df/995/zumqft2XLFn355Zfq2bOn2rdvr5kzZ6pDhw4xN87c3Fx98sknatOmjVJTU5WRkaHhw4dH3TidTqe2b9+uRx555IyFoM72fbE0zscff1zf/e53A6//+te/6hvf+EZMjVHy3bK/5ZZb1Lt377OOLZrHuWXLFjkcDg0YMECpqal66KGHlJaWFnPjHD58uNxut9LS0tS6dWudPHlSEydOPOc4I1GzD/q6lhR0Op1nPIsJPa72MRf7WatWrdSyZcvzuq7a5x09elRLly7VX/7yF/3f//2fNm/erCeffDLmxllVVaWcnBwdOnRIu3bt0tatW/Xss89G3TgdDofatWt3weOPpXHW9rvf/U4rV67Uf//3f8fUGDds2KA1a9Zo+vTpZx1XqGgb59GjR7V48WItWbJEO3fuVFVVlR5++OGYG2dlZaW+853v6IsvvtD+/fvlcDg0bdq0c44zEjX7oHc6nWdMZHO73Wf8SxF6XO1jLvazC7mu2ufFx8drwoQJSk9PV0pKiiZNmqS//OUvMTfOBx54QCNHjlSbNm101VVXadq0aXr++eejcpzne70X+79bfedGyjj9HnvsMc2YMUN///vf1aVLl7MeG01jPHnypHJzc/X8888rPj7+gs6NpnFKvj9/HnjgAWVkZKhVq1aaNm3aOf/8qes66ruWSBnnT3/6U918882BP2efeOKJc/75E6mafdD36NFDZWVlgdcej0fl5eXq3r37WY/bvn174JiL/exCrqv2ed26dQuasezxeM45Uzsax7lnzx5VV1cHPnM4HOfcizlSx3m+13ux/7tF+jgty1Jubq4KCwtVXFys66+//pznRNMYP/zwQ+3atUtDhgxR69at9dBDD2n9+vVq3bp1TI1Turg/f+q6jkgf58X8+ROxmnqSQFNzu91WWlqa9eKLLwZmgvbu3fuM455++mnrhhtusA4cOGCVl5dbV111lfXnP/+5QZ/VppBJamc7r6CgwLr66qutzz//3KqoqLBuuOEG6/HHH4+5cd55553W4MGDrWPHjln79u2z+vTpY82ePTsqx+nXqVOnoAk/r7zyivX1r3/d2rlzp3XgwAHruuuus+bOnXvWMUbjOGfNmmV17tzZOnjw4DnHFq1jrO33v//9eU/Gi7Zxvvzyy1bbtm2tTz75xPrqq6+sW265xcrNzY25cU6ZMsW65pprrH379lkul8v6/ve/bz300EPnHGckavZBb1mW9eGHH1p9+vSxWrZsaQ0cONAqLy+3LMuyMjMzrWXLllmWZVmmaVqTJk2y0tLSrNTU1KDZlxf7WW2h//Kd7TyPx2PNnDnTuvLKK63WrVtbDz30kFVVVRVz4zx8+LCVk5NjJScnWx06dLCmTp1qmaYZleP0qyscfv3rX1vp6elW27ZtrYkTJ1oej+ecY4y2cbZr185yOBxWQkJC4FdmZmZMjbG2Cwn6aBznc889Z3Xp0sVq1aqVNXz4cMvlcsXcOE+ePGmNGzcu8H1jxoyxvvrqq/MaZ6Rh9zoAAGJYs39GDwBALCPoAQCIYQQ9AAAxjKAHACCGEfQAAMQwgh4AgBhG0AMAEMMIegAAYhhBDwBADCPoAQCIYQQ9AAAxjKAHACCGEfQAAMQwgh4AgBhG0AMAEMMIegAAYhhBDwBADPv/1a7JsqaKx+UAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 507.875x507.875 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "powers, atom_number = sweep_power(trap, 4*si.G/si.cm, 100, -0.5*zr, 1.9*zr,n_plotpoints=100)\n",
    "calculate_stepsize(powers,atom_number,plot=True)/si.uW"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [00:54<00:00,  1.83it/s]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "0.07170819152155841"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 507.875x507.875 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gradients, atom_number = sweep_gradient(trap, 135*si.uW, 50, -0.5*zr, 1.9*zr,n_plotpoints=100)\n",
    "calculate_stepsize(gradients,atom_number,plot=True)/si.G*si.cm"
   ]
  },
  {
   "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
}