70 lines
1.6 KiB
Plaintext
70 lines
1.6 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"using Plots\n",
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"include(\"p_space.jl\")"
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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": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"vertices = [0, 0.5 - 0.3im, 1, 6]\n",
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"subdivisions = [64, 64, 64]\n",
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"p, w = get_mesh(vertices, subdivisions)\n",
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"\n",
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"# resonance example from my thesis\n",
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"V_basis(p, q) = 2*g0(4, p, q) - 3*g0(2, p, q)\n",
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"\n",
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"basis_eig = eigen(get_H_matrix(V_basis, p, w))\n",
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"basis = basis_eig.vectors .* w\n",
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"\n",
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"evals = basis_eig.values\n",
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"E_target = 0.7\n",
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"E = evals[argmin(norm.(evals .- E_target))]\n",
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"\n",
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"print(\"E = $E\")\n",
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"scatter(real.(evals), imag.(evals), xlim = (0,2))"
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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": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"# ResonanceEC: Eq. (20)\n",
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"V_system(c) = (p, q) -> c*(-5*g0(sqrt(3), p, q) + 2*g0(sqrt(10), p, q))\n",
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"\n",
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"H = get_H_matrix(V_system(0.45), p, w)\n",
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"H_berggren = transpose(basis) * H * basis\n",
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"\n",
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"evals = eigvals(H)\n",
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"scatter(real.(evals), imag.(evals), xlim = (0, 0.5))"
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]
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}
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Julia 1.10.2",
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"language": "julia",
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"name": "julia-1.10"
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},
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"language_info": {
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"file_extension": ".jl",
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"mimetype": "application/julia",
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"name": "julia",
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"version": "1.10.2"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 2
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}
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