{
 "cells": [
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- By [lazarusA](https://lazarusa.github.io/Webpage/index.html)"
   ]
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   "cell_type": "code",
   "execution_count": 1,
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   "outputs": [
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       "<path style=\"fill:none;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 418 303.5 L 418 29.5 \"/>\n",
       "<path style=\"fill:none;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 417.5 30 L 691.5 30 \"/>\n",
       "<path style=\"fill:none;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 691 303.5 L 691 29.5 \"/>\n",
       "</g>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "Figure()"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using CairoMakie\n",
    "include(\"makieTheme1.jl\") # don't forget to include the theme. \n",
    "\n",
    "function tα_qubit(β, ψ1, ψ2, fα, f)\n",
    "    2 + 2*β - cos(ψ1) - cos(ψ2) - 2*β*cos(π*fα)*cos(2*π*f + π*fα - ψ1- ψ2)\n",
    "end\n",
    "ψ1 = ψ2 = LinRange(0, 4*π, 100)\n",
    "z = [tα_qubit(.61, x, y, 0.2, .1) for x in ψ1, y in ψ2]\n",
    "\n",
    "fig = Figure(resolution = (800, 400))\n",
    "ax1 = Axis(fig, aspect = 1, xlabel = \"ψ1\", ylabel = \"ψ2\", xtickalign = 0,  ytickalign = 0)\n",
    "clines = contour!(ax1, ψ1, ψ2, z, colormap = :plasma, levels = 20, linewidth = 1.5)\n",
    "limits!(ax1, 0, 4π, 0, 4π)\n",
    "ax2 = Axis(fig, aspect = 1, xlabel = \"ψ1\", xtickalign = 0,  ytickalign = 0)\n",
    "clines = heatmap!(ax2, ψ1, ψ2, z, colormap = :plasma)\n",
    "limits!(ax2, 0, 4π, 0, 4π)\n",
    "cbar = Colorbar(fig, clines, label =\"α-q\", labelpadding = 0, height = Relative(3/4))\n",
    "fig[1, 1] = ax1\n",
    "fig[1, 2] = ax2\n",
    "fig[1, 3] = cbar\n",
    "hideydecorations!(ax2)\n",
    "#save(\"./results/FigContourUndHeat.svg\", fig, pt_per_unit = 0.7);\n",
    "#save(\"./results/FigContourUndHeat.png\", fig, px_per_unit = 2)\n",
    "fig"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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