A class of commutative dynamics of open quantum systems

TL;DR

This paper studies a specific class of open quantum system dynamics where the evolution maps commute at different times, allowing spectral analysis to describe both Markovian and non-Markovian behaviors.

Contribution

It introduces a framework for analyzing commutative dynamical maps in open quantum systems, encompassing both Markovian and non-Markovian cases.

Findings

Spectral analysis effectively describes the dynamics.

Commutativity simplifies the characterization of evolution.

Applicable to both Markovian and non-Markovian regimes.

Abstract

We analyze a class of dynamics of open quantum systems which is governed by the dynamical map mutually commuting at different times. Such evolution may be effectively described via spectral analysis of the corresponding time dependent generators. We consider both Markovian and non-Markovian cases.