Non-Markovian Open Quantum Systems: Lorentzian from Markovian

TL;DR

This paper presents a straightforward method to reduce non-Markovian Lorentzian open quantum systems to Markovian systems, offering an alternative approach to traditional Green functions and Kubo theory.

Contribution

It introduces a simple reduction technique for Lorentzian open systems to Markovian dynamics, enhancing understanding and computational efficiency.

Findings

The reduction method simplifies the analysis of non-Markovian systems.

It provides an alternative to Green functions and Kubo theory.

The approach is demonstrated in a clear, accessible manner.

Abstract

As a general mission, reduced dynamics and master equations are advocated as alternative method and philosophy instead of Green functions, Kubo theory and the like. A smart reduction of the Lorentzian open system to the Markovian one (Imamoglu, 1994) is presented in simple terms.