Solve the Master Equation by Python-An Introduction to the Python Computing Environment

TL;DR

This paper introduces Python tools and workflows for solving the master equation in quantum transport, demonstrating practical implementation of ODE solvers like ZVODE and bsimp.

Contribution

It provides a detailed guide on solving quantum transport master equations using Python's scientific libraries, emphasizing implementation workflows.

Findings

Successful application of ZVODE for complex ODEs

Use of bsimp for real-valued ODEs in Python

Guidance on implementing quantum transport models

Abstract

A brief introduction to the Python computing environment is given. By solving the master equation encountered in quantum transport, we give an example of how to solve the ODE problems in Python. The ODE solvers used are the ZVODE routine in Scipy and the bsimp solver in GSL. For the former, the equation can be in its complex-valued form, while for the latter, it has to be rewritten to a real-valued form. The focus is on the detailed workflow of the implementation process, rather than on the syntax of the python language, with the hope to help readers simulate their own models in Python.