{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "6718709f",
   "metadata": {},
   "source": [
    "# Zeeman product operator basis and PMZ product operator basis\n",
    "## Author: Vineeth Francis Thalakottoor\n",
    "## Email: vineeth.thalakottoor@ens.psl.eu or vineethfrancis.physics@gmail.com"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "27a57f94",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Define the source path\n",
    "SourcePath = '/media/HD2/Vineeth/PostDoc_Simulations/Github/PyOR_V1/PyOR_Combined/PyOR/Source_Doc'\n",
    "\n",
    "# Add source path\n",
    "import sys\n",
    "sys.path.append(SourcePath)\n",
    "import time\n",
    "%matplotlib ipympl\n",
    "\n",
    "# Import PyOR package\n",
    "from PyOR_QuantumSystem import QuantumSystem as QunS\n",
    "from PyOR_Hamiltonian import Hamiltonian\n",
    "from PyOR_DensityMatrix import DensityMatrix\n",
    "from PyOR_QuantumObject import QunObj\n",
    "from PyOR_HardPulse import HardPulse\n",
    "from PyOR_Basis import Basis\n",
    "from PyOR_Evolution import Evolutions\n",
    "from PyOR_Plotting import Plotting\n",
    "import PyOR_SignalProcessing as Spro\n",
    "from PyOR_Commutators import Commutators\n",
    "from PyOR_QuantumLibrary import QuantumLibrary\n",
    "from PyOR_Relaxation import RelaxationProcess"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "ab0e39a3",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Define the spin system\n",
    "Spin_list = {\"A\" : \"H1\", \"B\" : \"H1\"}\n",
    "QS = QunS(Spin_list,PrintDefault=False)\n",
    "\n",
    "# initialize the system\n",
    "QS.Initialize()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "3a59211f",
   "metadata": {},
   "source": [
    "### Set parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "275d8217",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Larmor Frequency in MHz:  [-400.22802765 -400.22806765]\n"
     ]
    }
   ],
   "source": [
    "\n",
    "# Master Equation\n",
    "QS.PropagationSpace = \"Liouville\"\n",
    "QS.MasterEquation = \"Redfield\"\n",
    "\n",
    "# B0 Field in Tesla, Static Magnetic field (B0) along Z\n",
    "QS.B0 = 9.4\n",
    "\n",
    "# Offset Frequency in rotating frame (Hz)\n",
    "QS.OFFSET[\"A\"] = 10.0\n",
    "QS.OFFSET[\"B\"] = 50.0\n",
    "\n",
    "# Define J coupling between Spins \n",
    "QS.JcoupleValue(\"A\",\"B\",5.0)\n",
    "\n",
    "# Define initial and final Spin Temperature\n",
    "QS.I_spintemp[\"A\"] = 300.0\n",
    "QS.I_spintemp[\"B\"] = 300.0\n",
    "QS.F_spintemp[\"A\"] = 300.0\n",
    "QS.F_spintemp[\"B\"] = 300.0\n",
    "\n",
    "# Define paris of spins coupled by dipolar interaction\n",
    "QS.Dipole_Pairs = [(\"A\",\"B\")]\n",
    "\n",
    "# Relaxation Process\n",
    "QS.Rprocess = \"Auto-correlated Dipolar Homonuclear\"\n",
    "QS.RelaxParDipole_tau = 10.0e-12\n",
    "QS.RelaxParDipole_bIS = [30.0e3]\n",
    "\n",
    "QS.Update()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "6f86d849",
   "metadata": {},
   "source": [
    "## Product Operator Basis: Zeeman (Hilbert Space)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "efb23439",
   "metadata": {},
   "outputs": [],
   "source": [
    "BS = Basis(QS)\n",
    "\n",
    "Basis_Zeeman, dic_Zeeman, coh_Zeeman, coh_Zeeman_array = BS.ProductOperators_Zeeman()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "913cd8a1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['|1/2,1/2⟩|1/2,1/2⟩⟨1/2,1/2|⟨1/2,1/2|',\n",
       " '|1/2,1/2⟩|1/2,1/2⟩⟨1/2,1/2|⟨1/2,-1/2|',\n",
       " '|1/2,1/2⟩|1/2,1/2⟩⟨1/2,-1/2|⟨1/2,1/2|',\n",
       " '|1/2,1/2⟩|1/2,1/2⟩⟨1/2,-1/2|⟨1/2,-1/2|',\n",
       " '|1/2,1/2⟩|1/2,-1/2⟩⟨1/2,1/2|⟨1/2,1/2|',\n",
       " '|1/2,1/2⟩|1/2,-1/2⟩⟨1/2,1/2|⟨1/2,-1/2|',\n",
       " '|1/2,1/2⟩|1/2,-1/2⟩⟨1/2,-1/2|⟨1/2,1/2|',\n",
       " '|1/2,1/2⟩|1/2,-1/2⟩⟨1/2,-1/2|⟨1/2,-1/2|',\n",
       " '|1/2,-1/2⟩|1/2,1/2⟩⟨1/2,1/2|⟨1/2,1/2|',\n",
       " '|1/2,-1/2⟩|1/2,1/2⟩⟨1/2,1/2|⟨1/2,-1/2|',\n",
       " '|1/2,-1/2⟩|1/2,1/2⟩⟨1/2,-1/2|⟨1/2,1/2|',\n",
       " '|1/2,-1/2⟩|1/2,1/2⟩⟨1/2,-1/2|⟨1/2,-1/2|',\n",
       " '|1/2,-1/2⟩|1/2,-1/2⟩⟨1/2,1/2|⟨1/2,1/2|',\n",
       " '|1/2,-1/2⟩|1/2,-1/2⟩⟨1/2,1/2|⟨1/2,-1/2|',\n",
       " '|1/2,-1/2⟩|1/2,-1/2⟩⟨1/2,-1/2|⟨1/2,1/2|',\n",
       " '|1/2,-1/2⟩|1/2,-1/2⟩⟨1/2,-1/2|⟨1/2,-1/2|']"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dic_Zeeman"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "659037b4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.0, 1.0, 1.0, 2.0, -1.0, 0.0, 0.0, 1.0, -1.0, 0.0, 0.0, 1.0, -2.0, -1.0, -1.0, 0.0]\n"
     ]
    }
   ],
   "source": [
    "print(coh_Zeeman)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "2118606d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}1.0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "Matrix([\n",
       "[1.0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0]])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Basis_Zeeman[0].matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "d490e3b8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}0\\\\1.0\\\\1.0\\\\2.0\\\\-1.0\\\\0\\\\0\\\\1.0\\\\-1.0\\\\0\\\\0\\\\1.0\\\\-2.0\\\\-1.0\\\\-1.0\\\\0\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "Matrix([\n",
       "[   0],\n",
       "[ 1.0],\n",
       "[ 1.0],\n",
       "[ 2.0],\n",
       "[-1.0],\n",
       "[   0],\n",
       "[   0],\n",
       "[ 1.0],\n",
       "[-1.0],\n",
       "[   0],\n",
       "[   0],\n",
       "[ 1.0],\n",
       "[-2.0],\n",
       "[-1.0],\n",
       "[-1.0],\n",
       "[   0]])"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "coh_Zeeman_array.matrix"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "b76d2bea",
   "metadata": {},
   "source": [
    "## Product Operator Basis: PMZ (Hilbert Space)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "4e138a46",
   "metadata": {},
   "outputs": [],
   "source": [
    "sort = 'negative to positive'\n",
    "Index = False\n",
    "Normal = True\n",
    "Basis_PMZ, coh_PMZ, dic_PMZ = BS.ProductOperators_SpinHalf_PMZ(sort,Index,Normal)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "e0a777f9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['Im1 Im2 ', 'Im1 Iz2 ', 'Im1 Id2 ', 'Iz1 Im2 ', 'Id1 Im2 ', 'Im1 Ip2 ', 'Iz1 Iz2 ', 'Iz1 Id2 ', 'Id1 Iz2 ', 'Id1 Id2 ', 'Ip1 Im2 ', 'Iz1 Ip2 ', 'Id1 Ip2 ', 'Ip1 Iz2 ', 'Ip1 Id2 ', 'Ip1 Ip2 ']\n"
     ]
    }
   ],
   "source": [
    "print(dic_PMZ)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "84bae6e2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-2, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2]\n"
     ]
    }
   ],
   "source": [
    "print(coh_PMZ)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "969da31c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\1.0\\\\0\\\\0\\\\0\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "Matrix([\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[1.0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0]])"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Basis_PMZ[0].matrix"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "41357816",
   "metadata": {},
   "source": [
    "## Call Product Operator with string index"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "141587aa",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['Im1Im2', 'Im1Iz2', 'Im1', 'Iz1Im2', 'Im2', 'Im1Ip2', 'Iz1Iz2', 'Iz1', 'Iz2', '', 'Ip1Im2', 'Iz1Ip2', 'Ip2', 'Ip1Iz2', 'Ip1', 'Ip1Ip2']\n"
     ]
    }
   ],
   "source": [
    "OpB_H = BS.String_to_Matrix(dic_PMZ, Basis_PMZ)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "9637e252",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\1.0\\\\0\\\\0\\\\0\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "Matrix([\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[1.0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0]])"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "OpB_H[\"Im1Im2\"].matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "7d67bf2d",
   "metadata": {},
   "outputs": [],
   "source": [
    "Compare_with_SpinDynamica = True\n",
    "\n",
    "if Compare_with_SpinDynamica: \n",
    "    Basis_PMZ = [OpB_H['Im1Im2'],OpB_H['Im1Iz2'],OpB_H['Iz1Im2'],OpB_H['Im1'],OpB_H['Im2'],OpB_H['Im1Ip2'],OpB_H['Ip1Im2'],OpB_H['Iz1Iz2'],OpB_H['Iz1'],OpB_H['Iz2'],OpB_H[''],OpB_H['Ip1Iz2'],OpB_H['Iz1Ip2'],OpB_H['Ip1'],OpB_H['Ip2'],OpB_H['Ip1Ip2'] ]\n",
    "    dic_PMZ = ['Im1Im2','Im1Iz2','Iz1Im2','Im1','Im2','Im1Ip2','Ip1Im2','Iz1Iz2','Iz1','Iz2','ID','Ip1Iz2','Iz1Ip2','Ip1','Ip2','Ip1Ip2']"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "6ea4d549",
   "metadata": {},
   "source": [
    "## Convert Product Operators into Liouville Space (Zeeman Basis)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "12c6e29e",
   "metadata": {},
   "outputs": [],
   "source": [
    "if QS.PropagationSpace == \"Liouville\":\n",
    "    Basis_Zeeman_L = Basis_Zeeman\n",
    "else:\n",
    "    Basis_Zeeman_L = BS.ProductOperators_ConvertToLiouville(Basis_Zeeman)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "f92db69b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}1.0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "Matrix([\n",
       "[1.0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0]])"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Basis_Zeeman_L[0].matrix"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "99583d17",
   "metadata": {},
   "source": [
    "## Convert Product Operators into Liouville Space (PMZ Basis)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "0f0afeb4",
   "metadata": {},
   "outputs": [],
   "source": [
    "Basis_PMZ_L = BS.ProductOperators_ConvertToLiouville(Basis_PMZ)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "599efa17",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\0\\\\1.0\\\\0\\\\0\\\\0\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "Matrix([\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0],\n",
       "[1.0],\n",
       "[  0],\n",
       "[  0],\n",
       "[  0]])"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Basis_PMZ_L[0].matrix"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "651ab885",
   "metadata": {},
   "source": [
    "## Transformation Between Zeeman product operator basis and PMZ product operator basis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "c4e056a5",
   "metadata": {},
   "outputs": [],
   "source": [
    "U_Z_PMZ = BS.BasisChange_TransformationMatrix(Basis_Zeeman_L,Basis_PMZ_L)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "fa10bcb8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{array}{cccccccccccccccc}0 & 0 & 0 & 0 & 0 & 0 & 0 & 0.5 & 0.5 & 0.5 & 0.5 & 0 & 0 & 0 & 0 & 0\\\\0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & -0.707106781186547 & 0 & -0.707106781186547 & 0\\\\0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & -0.707106781186547 & 0 & -0.707106781186547 & 0 & 0\\\\0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1.0\\\\0 & 0 & 0.707106781186547 & 0 & 0.707106781186547 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\\\0 & 0 & 0 & 0 & 0 & 0 & 0 & -0.5 & 0.5 & -0.5 & 0.5 & 0 & 0 & 0 & 0 & 0\\\\0 & 0 & 0 & 0 & 0 & 0 & -1.0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\\\0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0.707106781186547 & 0 & -0.707106781186547 & 0 & 0\\\\0 & 0.707106781186547 & 0 & 0.707106781186547 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\\\0 & 0 & 0 & 0 & 0 & -1.0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\\\0 & 0 & 0 & 0 & 0 & 0 & 0 & -0.5 & -0.5 & 0.5 & 0.5 & 0 & 0 & 0 & 0 & 0\\\\0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0.707106781186547 & 0 & -0.707106781186547 & 0\\\\1.0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\\\0 & -0.707106781186547 & 0 & 0.707106781186547 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\\\0 & 0 & -0.707106781186547 & 0 & 0.707106781186547 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\\\0 & 0 & 0 & 0 & 0 & 0 & 0 & 0.5 & -0.5 & -0.5 & 0.5 & 0 & 0 & 0 & 0 & 0\\end{array}\\right]$"
      ],
      "text/plain": [
       "Matrix([\n",
       "[  0,                  0,                  0,                 0,                 0,    0,    0,  0.5,  0.5,  0.5, 0.5,                  0,                  0,                  0,                  0,   0],\n",
       "[  0,                  0,                  0,                 0,                 0,    0,    0,    0,    0,    0,   0,                  0, -0.707106781186547,                  0, -0.707106781186547,   0],\n",
       "[  0,                  0,                  0,                 0,                 0,    0,    0,    0,    0,    0,   0, -0.707106781186547,                  0, -0.707106781186547,                  0,   0],\n",
       "[  0,                  0,                  0,                 0,                 0,    0,    0,    0,    0,    0,   0,                  0,                  0,                  0,                  0, 1.0],\n",
       "[  0,                  0,  0.707106781186547,                 0, 0.707106781186547,    0,    0,    0,    0,    0,   0,                  0,                  0,                  0,                  0,   0],\n",
       "[  0,                  0,                  0,                 0,                 0,    0,    0, -0.5,  0.5, -0.5, 0.5,                  0,                  0,                  0,                  0,   0],\n",
       "[  0,                  0,                  0,                 0,                 0,    0, -1.0,    0,    0,    0,   0,                  0,                  0,                  0,                  0,   0],\n",
       "[  0,                  0,                  0,                 0,                 0,    0,    0,    0,    0,    0,   0,  0.707106781186547,                  0, -0.707106781186547,                  0,   0],\n",
       "[  0,  0.707106781186547,                  0, 0.707106781186547,                 0,    0,    0,    0,    0,    0,   0,                  0,                  0,                  0,                  0,   0],\n",
       "[  0,                  0,                  0,                 0,                 0, -1.0,    0,    0,    0,    0,   0,                  0,                  0,                  0,                  0,   0],\n",
       "[  0,                  0,                  0,                 0,                 0,    0,    0, -0.5, -0.5,  0.5, 0.5,                  0,                  0,                  0,                  0,   0],\n",
       "[  0,                  0,                  0,                 0,                 0,    0,    0,    0,    0,    0,   0,                  0,  0.707106781186547,                  0, -0.707106781186547,   0],\n",
       "[1.0,                  0,                  0,                 0,                 0,    0,    0,    0,    0,    0,   0,                  0,                  0,                  0,                  0,   0],\n",
       "[  0, -0.707106781186547,                  0, 0.707106781186547,                 0,    0,    0,    0,    0,    0,   0,                  0,                  0,                  0,                  0,   0],\n",
       "[  0,                  0, -0.707106781186547,                 0, 0.707106781186547,    0,    0,    0,    0,    0,   0,                  0,                  0,                  0,                  0,   0],\n",
       "[  0,                  0,                  0,                 0,                 0,    0,    0,  0.5, -0.5, -0.5, 0.5,                  0,                  0,                  0,                  0,   0]])"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "U_Z_PMZ.matrix"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "9c372ddf",
   "metadata": {},
   "source": [
    "### Relaxation Matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "fb9eccfd",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Larmor Frequency in MHz:  [-400.22802765 -400.22806765]\n"
     ]
    }
   ],
   "source": [
    "RPro = RelaxationProcess(QS)\n",
    "R_L = RPro.Relaxation()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "6963e7c1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "350711991ccf4815b81582165c7d3e8e",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=1000.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot = Plotting(QS)\n",
    "plot.PlotFigureSize = (10,10)\n",
    "plot.PlotFontSize = 10\n",
    "plot.MatrixPlot(R_L.data.real,dic_Zeeman,dic_Zeeman)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "312636fd",
   "metadata": {},
   "source": [
    "### Converting  Relaxation Superoperator in Liouville Space from Zeeman to PMZ basis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "0d1737fb",
   "metadata": {},
   "outputs": [],
   "source": [
    "R_L_PMZ = BS.BasisChange_Operator(R_L,U_Z_PMZ)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "083407ee",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "26eb14496cf343138f86da8fe5e87c34",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=1000.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot.MatrixPlot(R_L_PMZ.data.real,dic_PMZ,dic_PMZ)"
   ]
  }
 ],
 "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": 5
}