Chapter4.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Python: None"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using QuantumToolbox\n",
    "using PythonCall\n",
    "\n",
    "BLAS.set_num_threads(1)\n",
    "\n",
    "BosonOp = pyimport(\"sympy.physics.quantum.boson\").BosonOp\n",
    "Dagger = pyimport(\"sympy.physics.quantum\").Dagger\n",
    "Commutator = pyimport(\"sympy.physics.quantum\").Commutator\n",
    "normal_ordered_form = pyimport(\"sympy.physics.quantum.operatorordering\").normal_ordered_form\n",
    "linsolve = pyimport(\"sympy.solvers.solveset\").linsolve\n",
    "sym = pyimport(\"sympy\")\n",
    "np = pyimport(\"numpy\")\n",
    "\n",
    "geomspace(start, stop, n) = exp10.(range(log10(start), stop = log10(stop), length = n))\n",
    "\n",
    "plt = pyimport(\"matplotlib.pyplot\")\n",
    "plt.rc(\"text\", usetex = true)\n",
    "plt.rc(\"text.latex\", preamble = raw\"\\usepackage{amsmath} \\usepackage{physics}\")\n",
    "plt.rc(\"axes\", labelpad = 2)\n",
    "plt.rc(\"legend\", frameon = false)\n",
    "plt.rc(\"font\", size = 14)\n",
    "plt.rc(\"axes\", labelsize = 14)    # fontsize of the x and y labels\n",
    "plt.rc(\"xtick\", labelsize = 14)    # fontsize of the tick labels\n",
    "plt.rc(\"ytick\", labelsize = 14)    # fontsize of the tick labels\n",
    "plt.rc(\"legend\", fontsize = 13)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Quantum Rabi model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "H_D (generic function with 1 method)"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Nc = 80\n",
    "\n",
    "ωc = 1\n",
    "ωq = 1\n",
    "\n",
    "a = kron(destroy(Nc), eye(2))\n",
    "\n",
    "σm = kron(eye(Nc), sigmam())\n",
    "σp = kron(eye(Nc), sigmap())\n",
    "σz = kron(eye(Nc), sigmaz())\n",
    "σx = kron(eye(Nc), sigmax())\n",
    "σy = kron(eye(Nc), sigmay())\n",
    "\n",
    "η_inversion_2_3 = 0.432993\n",
    "\n",
    "# Coulomb gauge\n",
    "H_C(η) = ωc * a'*a + ωq/2 * ( σz * cosm(2*η*(a+a')) + σy * sinm(2*η*(a+a')) )\n",
    "\n",
    "# Dipole gauge\n",
    "H_D(η) = ωc * a'*a + ωq/2 * σz + 1im * η * ωc * (a' - a) * σx + η^2 * ωc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
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     },
     "metadata": {},
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   ],
   "source": [
    "η_list = range(0, 2, 100)\n",
    "n_vals = 6\n",
    "\n",
    "eigs_d = zeros(length(η_list), n_vals)\n",
    "eigs_c = zeros(length(η_list), n_vals)\n",
    "\n",
    "Threads.@threads for i in eachindex(η_list)\n",
    "    eigs_d[i, :] .= real.(eigsolve(H_D(η_list[i]), k=n_vals, sigma=-2).vals)\n",
    "    eigs_c[i, :] .= real.(eigsolve(H_C(η_list[i]), k=n_vals, sigma=-2).vals)\n",
    "end\n",
    "\n",
    "fig, ax = plt.subplots(dpi=150)\n",
    "\n",
    "ax.plot(η_list, eigs_c)\n",
    "ax.plot(η_list, eigs_d, ls=\"--\")\n",
    "\n",
    "display(fig)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "ωc = 1\n",
    "ωq = ωc + 1e-3\n",
    "\n",
    "η_list = geomspace(1e-4, 3, 300)\n",
    "\n",
    "res_c10_wrong = zeros(length(η_list))\n",
    "res_c20_wrong = zeros(length(η_list))\n",
    "res_c10_correct = zeros(length(η_list))\n",
    "res_c20_correct = zeros(length(η_list))\n",
    "\n",
    "Threads.@threads for i in eachindex(η_list)\n",
    "    η = η_list[i]\n",
    "    # vals_c, vecs_c = eigsolve(H_c(η), k=4, sigma=-1)\n",
    "    vals_c, vecs_c = eigen(H_C(η))\n",
    "    if η > η_inversion_2_3\n",
    "        vecs_c[:, 3], vecs_c[:, 4] = vecs_c[:, 4], vecs_c[:, 3]\n",
    "    end\n",
    "\n",
    "    @views res_c10_wrong[i] = abs2(dot(vecs_c[:, 2], (σz).data, vecs_c[:, 2]) - dot(vecs_c[:, 1], (σz).data, vecs_c[:, 1])) / 4\n",
    "    @views res_c20_wrong[i] = abs2(dot(vecs_c[:, 3], (σz).data, vecs_c[:, 3]) - dot(vecs_c[:, 1], (σz).data, vecs_c[:, 1])) / 4\n",
    "\n",
    "    σz2 = σz * cosm(2*η*(a+a')) + σy * sinm(2*η*(a+a'))\n",
    "    @views res_c10_correct[i] = abs2(dot(vecs_c[:, 2], (σz2).data, vecs_c[:, 2]) - dot(vecs_c[:, 1], (σz2).data, vecs_c[:, 1])) / 4\n",
    "    @views res_c20_correct[i] = abs2(dot(vecs_c[:, 3], (σz2).data, vecs_c[:, 3]) - dot(vecs_c[:, 1], (σz2).data, vecs_c[:, 1])) / 4\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
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      "text/plain": [
       "Python: <Figure size 1200x750 with 2 Axes>"
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       "\"/home/alberto/\""
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   "source": [
    "fig, axs = plt.subplots(2, 1, dpi=150, sharex=true, figsize = (8, 5), gridspec_kw=Dict(\"hspace\"=>0.05, \"wspace\"=>0.05))\n",
    "\n",
    "ax = axs[0]\n",
    "ax.plot(η_list, res_c10_correct, color=\"navy\", lw=2, label = raw\"$\\gamma_\\phi^{\\tilde{1}_-,\\tilde{0}} / \\gamma_\\phi^{(q)}$\")\n",
    "ax.plot(η_list, res_c20_correct, ls=\"--\", color=\"crimson\", lw=2, label = raw\"$\\gamma_\\phi^{\\tilde{1}_+,\\tilde{0}} / \\gamma_\\phi^{(q)}$\")\n",
    "ax.set_xscale(\"log\")\n",
    "ax.set_ylim(0, nothing)\n",
    "ax.text(0.5, 0.9, \"Correct\", transform=ax.transAxes, ha=\"center\")\n",
    "ax.legend()\n",
    "\n",
    "ax = axs[1]\n",
    "ax.plot(η_list, res_c10_wrong, color=\"navy\", lw=2)\n",
    "ax.plot(η_list, res_c20_wrong, color=\"crimson\", lw=2, ls=\"--\")\n",
    "ax.set_xscale(\"log\")\n",
    "ax.set_xlim(η_list[1], η_list[end])\n",
    "ax.set_ylim(0, nothing)\n",
    "ax.set_xlabel(raw\"$\\eta$\")\n",
    "ax.text(0.5, 0.9, \"Wrong\", transform=ax.transAxes, ha=\"center\")\n",
    "\n",
    "display(fig)\n",
    "\n",
    "root_dir = \"/home/alberto/\"\n",
    "# root_dir = \"/mnt/c/Users/alber/\"\n",
    "# plt.savefig(root_dir * \"OneDrive/GitHub/Latex-Projects/phd-thesis/figures/pure_dephasing_rabi_atom.pdf\", dpi=300, bbox_inches=\"tight\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Hopfield model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "get_hopfield_coeff_D (generic function with 1 method)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function get_hopfield_matrix(H)\n",
    "    M = sym.Matrix(np.zeros((4, 4)))\n",
    "\n",
    "    for i in eachindex(ops)\n",
    "        comm = normal_ordered_form(Commutator(ops[i], H).doit(independent=true).expand(), independent=true).expand()\n",
    "        if Bool(pybuiltins.isinstance(comm, sym.Add))\n",
    "            for arg in comm.args\n",
    "                coeff = arg.args_cnc()[0]\n",
    "                coeff = Bool(pybuiltins.isinstance(coeff, pybuiltins.list)) ? sym.prod(coeff) : coeff\n",
    "                op = arg.args_cnc()[1]\n",
    "                op = Bool(pybuiltins.isinstance(op, pybuiltins.list)) ? sym.prod(op) : op\n",
    "                idx = findfirst(Bool.(op .== ops)) - 1\n",
    "                M[idx, i-1] += coeff\n",
    "            end\n",
    "        elseif Bool(pybuiltins.isinstance(comm, sym.Mul))\n",
    "            op = arg.args_cnc()[1]\n",
    "            op = isa(op, Vector) ? sym.prod(op) : op\n",
    "            println(op)\n",
    "        end\n",
    "    end\n",
    "\n",
    "    M\n",
    "end\n",
    "\n",
    "function get_hopfield_coeff_C(ωc, ωb, λ)\n",
    "    M = pyconvert(Matrix{ComplexF64}, M_c(ωc, ωb, λ))\n",
    "    Ω, U = eigen(M)\n",
    "\n",
    "    # We are interested in those with positive eigenvalues\n",
    "    @views norm_1 = sqrt( dot(U[:,3], η, U[:,3]) )\n",
    "    @views norm_2 = sqrt( dot(U[:,4], η, U[:,4]) )\n",
    "    @views U[:,3] ./= norm_1\n",
    "    @views U[:,4] ./= norm_2\n",
    "\n",
    "    return Ω[3:4], U[:,3:4]\n",
    "end\n",
    "\n",
    "function get_hopfield_coeff_D(ωc, ωb, λ)\n",
    "    M = pyconvert(Matrix{ComplexF64}, M_d(ωc, ωb, λ))\n",
    "    Ω, U = eigen(M)\n",
    "\n",
    "    # We are interested in those with positive eigenvalues\n",
    "    @views norm_1 = sqrt( dot(U[:,3], η, U[:,3]) )\n",
    "    @views norm_2 = sqrt( dot(U[:,4], η, U[:,4]) )\n",
    "    @views U[:,3] ./= norm_1\n",
    "    @views U[:,4] ./= norm_2\n",
    "\n",
    "    return Ω[3:4], U[:,3:4]\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4×4 Diagonal{Int64, Vector{Int64}}:\n",
       " 1  ⋅   ⋅   ⋅\n",
       " ⋅  1   ⋅   ⋅\n",
       " ⋅  ⋅  -1   ⋅\n",
       " ⋅  ⋅   ⋅  -1"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = BosonOp(\"a\") # resonator photon annihilation operator\n",
    "a_d = Dagger(a)\n",
    "b = BosonOp(\"b\") # resonator photon annihilation operator\n",
    "b_d = Dagger(b)\n",
    "\n",
    "ops = [a, b, a_d, b_d]\n",
    "\n",
    "ωc_s = sym.Symbol(raw\"\\omega_c\", positive=true)\n",
    "ωb_s = sym.Symbol(raw\"\\omega_b\", positive=true)\n",
    "λ_s = sym.Symbol(raw\"\\lambda\", positive=true)\n",
    "\n",
    "H_0 = ωc_s * a_d * a + ωb_s * b_d * b\n",
    "H_int_c = -sym.I*ωb_s*λ_s*(b_d-b)*(a+a_d) + ωb_s*λ_s^2 * (a+a_d)^2\n",
    "H_int_d = -sym.I*ωc_s*λ_s*(a-a_d)*(b+b_d) + ωc_s*λ_s^2 * (b+b_d)^2\n",
    "H_test = H_0 + λ_s*(a+a_d)*(b+b_d)\n",
    "H_c = H_0 + H_int_c\n",
    "H_d = H_0 + H_int_d\n",
    "\n",
    "@pyexec \"\"\"\n",
    "def lambdify(*args):\n",
    "    import sympy\n",
    "    return sympy.lambdify(*args)\n",
    "\"\"\" => lambdify\n",
    "\n",
    "M_c = lambdify((ωc_s, ωb_s, λ_s), get_hopfield_matrix(H_c))\n",
    "M_d = lambdify((ωc_s, ωb_s, λ_s), get_hopfield_matrix(H_d))\n",
    "\n",
    "η = Diagonal([1,1,-1,-1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "Python: <Figure size 960x720 with 1 Axes>"
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   ],
   "source": [
    "ωc = 1\n",
    "ωb = 0.8\n",
    "λ_list = range(0, 5, 100)\n",
    "\n",
    "E_c_l = similar(λ_list)\n",
    "E_d_l = similar(λ_list)\n",
    "E_c_u = similar(λ_list)\n",
    "E_d_u = similar(λ_list)\n",
    "\n",
    "for i in eachindex(λ_list)\n",
    "    Ω_c, U_c = get_hopfield_coeff_C(ωc, ωb, λ_list[i])\n",
    "    Ω_d, U_d = get_hopfield_coeff_D(ωc, ωb, λ_list[i])\n",
    "    E_c_l[i] = real(Ω_c[1])\n",
    "    E_d_l[i] = real(Ω_d[1])\n",
    "    E_c_u[i] = real(Ω_c[2])\n",
    "    E_d_u[i] = real(Ω_d[2])\n",
    "end\n",
    "\n",
    "fig, ax = plt.subplots(dpi=150)\n",
    "\n",
    "ax.plot(λ_list, E_c_l, color=\"navy\", lw=2, label = raw\"$\\tilde{E}_{1_-}$\")\n",
    "ax.plot(λ_list, E_c_u, color=\"navy\", lw=2, label = raw\"$\\tilde{E}_{1_+}$\")\n",
    "ax.plot(λ_list, E_d_l, color=\"crimson\", lw=2, ls=\"--\", label = raw\"$\\tilde{E}_{1_-}$\")\n",
    "ax.plot(λ_list, E_d_u, color=\"crimson\", lw=2, ls=\"--\", label = raw\"$\\tilde{E}_{1_+}$\")\n",
    "ax.set_xlim(λ_list[1], λ_list[end])\n",
    "ax.set_ylim(0, nothing)\n",
    "ax.set_xlabel(raw\"$\\lambda$\")\n",
    "ax.legend()\n",
    "\n",
    "display(fig)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4×2 Matrix{ComplexF64}:\n",
       " -1.48069e-15+0.29236im         1.23815+0.0im\n",
       "      1.23815+0.0im         6.19438e-16+0.29236im\n",
       "  -1.4282e-15-0.180643im       0.765408-5.92972e-17im\n",
       "     0.765408+2.5807e-16im  6.47556e-17-0.180643im"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Ω_c, U_c = get_hopfield_coeff_C(ωc, ωb, 2)\n",
    "U_c"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4×2 Matrix{ComplexF64}:\n",
       "      1.23784+0.0im         -2.72317e-17-0.292141im\n",
       " -5.60196e-16-0.292141im         1.23784+0.0im\n",
       "     0.764834-2.0748e-16im   -1.5561e-17+0.180598im\n",
       " -4.35708e-16+0.180598im        0.764834-2.38602e-16im"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Ω_d, U_d = get_hopfield_coeff_D(ωc, ωb, 2)\n",
    "U_d"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.11810618430155495"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "abs2(U_c[1,1]) + abs2(U_c[3,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.1172123913240104"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "abs2(U_d[1,1]) + abs2(U_d[3,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "ωc = 1\n",
    "ωb = ωc + 1e-3\n",
    "η_list = geomspace(1e-4, 2, 100)\n",
    "\n",
    "dep_l = similar(η_list)\n",
    "dep_u = similar(η_list)\n",
    "dep_l_wrong = similar(η_list)\n",
    "dep_u_wrong = similar(η_list)\n",
    "\n",
    "for i in eachindex(η_list)\n",
    "    Ω_c, U_c = get_hopfield_coeff_C(ωc, ωb, η_list[i])\n",
    "    Ω_d, U_d = get_hopfield_coeff_D(ωc, ωb, η_list[i])\n",
    "    dep_l[i] = abs2(U_d[2,1]) + abs2(U_d[4,1])\n",
    "    dep_u[i] = abs2(U_d[2,2]) + abs2(U_d[4,2])\n",
    "    dep_l_wrong[i] = abs2(U_c[2,1]) + abs2(U_c[4,1])\n",
    "    dep_u_wrong[i] = abs2(U_c[2,2]) + abs2(U_c[4,2])\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "Python: <Figure size 1200x750 with 2 Axes>"
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     "metadata": {},
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    {
     "data": {
      "text/plain": [
       "\"/home/alberto/\""
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     "execution_count": 26,
     "metadata": {},
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   "source": [
    "fig, axs = plt.subplots(2, 1, dpi=150, sharex=true, figsize = (8, 5), gridspec_kw=Dict(\"hspace\"=>0.05, \"wspace\"=>0.05))\n",
    "\n",
    "ax = axs[0]\n",
    "ax.plot(η_list, dep_l, color=\"navy\", lw=2, label = raw\"$\\gamma_\\phi^{1} / \\gamma_\\phi^{(x)}$\")\n",
    "ax.plot(η_list, dep_u, ls=\"--\", color=\"crimson\", lw=2, label = raw\"$\\gamma_\\phi^{2} / \\gamma_\\phi^{(x)}$\")\n",
    "ax.set_xscale(\"log\")\n",
    "ax.set_ylim(0, nothing)\n",
    "ax.text(0.5, 0.9, \"Correct\", transform=ax.transAxes, ha=\"center\")\n",
    "ax.legend()\n",
    "\n",
    "ax = axs[1]\n",
    "ax.plot(η_list, dep_l_wrong, color=\"navy\", lw=2)\n",
    "ax.plot(η_list, dep_u_wrong, color=\"crimson\", lw=2, ls=\"--\")\n",
    "ax.set_xscale(\"log\")\n",
    "ax.set_xlim(η_list[1], η_list[end])\n",
    "ax.set_ylim(0, nothing)\n",
    "ax.set_xlabel(raw\"$\\eta$\")\n",
    "ax.text(0.5, 0.9, \"Wrong\", transform=ax.transAxes, ha=\"center\")\n",
    "\n",
    "display(fig)\n",
    "\n",
    "root_dir = \"/home/alberto/\"\n",
    "# root_dir = \"/mnt/c/Users/alber/\"\n",
    "# plt.savefig(root_dir * \"OneDrive/GitHub/Latex-Projects/phd-thesis/figures/pure_dephasing_hopfield_atom.pdf\", dpi=300, bbox_inches=\"tight\")"
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  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
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