Updated documentation in the mastereq.py

docs/source/tutorials/mecce.ipynb

@@ -9,11 +9,7 @@
     "In this tutorial we will go over the steps needed to simulate the decoherence of a central spin coupled to a dissipative, interacting spin baths governed by Lindblad Master equation using CCE method (ME-CCE) within the **PyCCE** module. Two methods of interest include:\n",
     "\n",
     "* Master Equation CCE (ME-CCE).\n",
-    "* Master Equation gCCE (ME-gCCE).\n",
-    "\n",
-    "$\\newcommand{\\bra}[1]{\\left\\langle {#1} \\right|}$\n",
-    "$\\newcommand{\\ket}[1]{\\left| {#1} \\right\\rangle}$\n",
-    "$\\newcommand{\\Tr}{\\mathrm{Tr}}$"
+    "* Master Equation gCCE (ME-gCCE)."
    ]
   },
   {
@@ -29,7 +25,7 @@
     "\n",
     "where $\\hat \\rho$ is the density matrix of the system, $\\hat H$ is the Hamiltonian, and $\\hat L_i$ are jump operators with corresponding dissipation rates $\\gamma_i$.\n",
     "\n",
-    "Within the conventional CCE framework, the coherence of the central spin is recovered from the trace of the partial inner product $\\hat \\rho_{01} (t) =\\bra{0}\\hat \\rho (t)\\ket{1}$ as $\\mathcal{L}(t)=\\Tr [\\hat \\rho_{01} (t)]/\\Tr [\\hat \\rho_{01} (0)]$. The evolution of  $\\hat \\rho_{01}$ by solving the following:\n",
+    "Within the conventional CCE framework, the coherence of the central spin is recovered from the trace of the partial inner product $\\hat \\rho_{01} (t) =\\left\\langle {0} \\right|\\hat \\rho (t)\\left| {1} \\right\\rangle$ as $\\mathcal{L}(t)=\\Tr [\\hat \\rho_{01} (t)]/\\Tr [\\hat \\rho_{01} (0)]$. The evolution of  $\\hat \\rho_{01}$ by solving the following:\n",
     "\n",
     "\\begin{equation}\n",
     "     \\frac{d}{dt} \\hat \\rho_{01} (t) = \\mathfrak{I} \\cdot \\hat \\rho_{01} (t)= -\\frac{i}{\\hbar} \\hat H^{(0)} \\hat \\rho_{01}(t)  + \\frac{i}{\\hbar} \\hat \\rho_{01}(t) \\hat H^{(1)} +  \\sum_i{\\gamma_i (\\hat L_i \\hat \\rho \\hat L_i^\\dagger - \\frac{1}{2}\\{\\hat L_i^\\dagger \\hat L_i, \\hat \\rho \\})},\n",
@@ -440,7 +436,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.11.5"
+   "version": "3.9.13"
   }
  },
  "nbformat": 4,