SpiDySims/runs/Projections.ipynb
2024-04-20 01:43:46 +02:00

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{
"cells": [
{
"cell_type": "code",
"execution_count": 131,
"id": "f52c5daf-9123-4b36-b83c-d5d2bcae5d91",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"100000"
]
},
"execution_count": 131,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"using SpiDy\n",
"using NPZ\n",
"using DataFrames\n",
"using CSV\n",
"using ProgressMeter\n",
"using Random\n",
"using Statistics\n",
"using LinearAlgebra\n",
"using Plots\n",
"\n",
"########################\n",
"########################\n",
"\n",
"Δt = 1\n",
"N = 200\n",
"tspan = (0., N*Δt)\n",
"saveat = (0:1:N)*Δt\n",
"α = 10.\n",
"ω0 = 7.\n",
"Γ = 5.\n",
"J = LorentzianSD(α, ω0, Γ) # coloring the noise\n",
"matrix = AnisoCoupling([-sin(π/4) 0. 0. # coupling to the environment\n",
" 0. 0. 0.\n",
" cos(π/4) 0. 0.]);\n",
"T = .01\n",
"noise = ClassicalNoise(T);\n",
"\n",
"nspin = 1 # number of spins\n",
"\n",
"s0 = zeros(3*nspin)\n",
"for i in 1:nspin\n",
" ϵ = 0.1\n",
" s0tmp = [ϵ*rand(), ϵ*rand(), -1]\n",
" s0[1+(i-1)*3:3+(i-1)*3] = s0tmp./norm(s0tmp)\n",
"end\n",
"J0 = 1.\n",
"JH = Nchain(nspin, J0)\n",
"\n",
"nruns = 100000\n"
]
},
{
"cell_type": "code",
"execution_count": 132,
"id": "6e3cdf02-c243-4622-a52a-a6d7f987c68d",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Starting...\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\u001b[32mProgress: 100%|█████████████████████████████████████████| Time: 0:00:34\u001b[39m\n"
]
}
],
"source": [
"println(\"Starting...\")\n",
"progress = Progress(nruns);\n",
"\n",
"sols = zeros(nruns, length(saveat), 3*nspin)\n",
"\n",
"Threads.@threads for i in 1:nruns\n",
" bfields = [bfield(N, Δt, J, noise),\n",
" bfield(N, Δt, J, noise),\n",
" bfield(N, Δt, J, noise)];\n",
" sol = diffeqsolver(s0, tspan, J, bfields, matrix; JH=JH, saveat=saveat);\n",
" sols[i, :, :] = transpose(sol[:, :])\n",
" next!(progress)\n",
"end\n",
"\n",
"solavg = mean(sols, dims=1)[1, :, :];\n",
"solstd = std(sols, dims=1)[1, :, :];"
]
},
{
"cell_type": "code",
"execution_count": 133,
"id": "d16b97dd-b9f5-415c-b388-2b1f3344be45",
"metadata": {},
"outputs": [
{
"data": {
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]
},
"execution_count": 133,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot(saveat, solavg[:, 1], ribbon=solstd[:, 1])"
]
},
{
"cell_type": "code",
"execution_count": 134,
"id": "a06addc4-47b2-4467-8148-3e68f3eae702",
"metadata": {},
"outputs": [
{
"data": {
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"<path clip-path=\"url(#clip040)\" d=\"M2219.56 166.745 Q2217.76 171.375 2216.04 172.787 Q2214.33 174.199 2211.46 174.199 L2208.06 174.199 L2208.06 170.634 L2210.56 170.634 Q2212.32 170.634 2213.29 169.8 Q2214.26 168.967 2215.44 165.865 L2216.2 163.921 L2205.72 138.412 L2210.23 138.412 L2218.33 158.689 L2226.44 138.412 L2230.95 138.412 L2219.56 166.745 Z\" fill=\"#000000\" fill-rule=\"nonzero\" fill-opacity=\"1\" /><path clip-path=\"url(#clip040)\" d=\"M2238.24 160.402 L2245.88 160.402 L2245.88 134.037 L2237.57 135.703 L2237.57 131.444 L2245.83 129.778 L2250.51 129.778 L2250.51 160.402 L2258.15 160.402 L2258.15 164.338 L2238.24 164.338 L2238.24 160.402 Z\" fill=\"#000000\" fill-rule=\"nonzero\" fill-opacity=\"1\" /></svg>\n"
]
},
"execution_count": 134,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot(saveat, solavg[:, 2], ribbon=solstd[:, 2])"
]
},
{
"cell_type": "code",
"execution_count": 135,
"id": "bc1686fd-d86d-42b0-9d87-bcb911526d00",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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},
"execution_count": 135,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot(saveat, solavg[:, 3], ribbon=solstd[:, 3])"
]
},
{
"cell_type": "code",
"execution_count": 136,
"id": "59ac92d9-6a78-402b-91ae-3f5fd22cc6ff",
"metadata": {},
"outputs": [],
"source": [
"projected = zeros(nruns, length(saveat), 2)\n",
"\n",
"normalized_avg = eachrow(solavg) |> x -> normalize(x)\n",
"\n",
"for i in 1:length(saveat)\n",
" n = normalized_avg[i, :][1]\n",
"\n",
" u = normalize(cross(n, [0,0,1]))\n",
" v = cross(u, n)\n",
"\n",
" for j in 1:nruns\n",
" b = sols[j, i, :]\n",
" proj = dot(b, n) * n\n",
" b_ort = b - proj\n",
"\n",
" projected[j, i, 1] = dot(u,b)\n",
" projected[j, i, 2] = dot(v,b)\n",
" end\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 137,
"id": "03467eca-3f0c-4bd4-b3f7-5649b68780bc",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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]
},
"execution_count": 137,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"histogram(projected[:, 100, 1])"
]
},
{
"cell_type": "code",
"execution_count": 138,
"id": "9c6484d3-3396-47bb-b063-98e8d013d020",
"metadata": {},
"outputs": [
{
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]
},
"execution_count": 138,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"histogram(projected[:, 100, 2])"
]
},
{
"cell_type": "code",
"execution_count": 139,
"id": "f6df949c-15b2-447f-a264-8ef48ce1725e",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"nth_moment (generic function with 1 method)"
]
},
"execution_count": 139,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function nth_moment(data, N)\n",
" return mean(data .^ N)\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 141,
"id": "e4ad51fc-0dc7-4106-99e4-2b29e54b1930",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Jarque-Bera normality test\n",
"--------------------------\n",
"Population details:\n",
" parameter of interest: skewness and kurtosis\n",
" value under h_0: \"0 and 3\"\n",
" point estimate: \"0.023546329936401093 and 3.0128495793233214\"\n",
"\n",
"Test summary:\n",
" outcome with 95% confidence: reject h_0\n",
" one-sided p-value: 0.0070\n",
"\n",
"Details:\n",
" number of observations: 100000\n",
" JB statistic: 9.92846\n"
]
},
"execution_count": 141,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"using HypothesisTests\n",
"HypothesisTests.JarqueBeraTest(projected[:, 100, 1])"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "e5b9609e-f467-4bd7-9b51-9a4c1f175738",
"metadata": {},
"outputs": [],
"source": []
}
],
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