Exact decomposition of non-Markovian dynamics in open quantum systems

TL;DR

This paper presents a rigorous method to decompose non-Markovian quantum dynamics into a generalized Lindblad form, enabling analysis of non-Markovian effects on quantum systems and potential control strategies.

Contribution

The authors develop an exact procedure to map non-Markovian dynamics to a generalized Lindblad form, revealing negative decay rates as indicators of non-Markovianity.

Findings

Identified negative decay rates as markers of non-Markovian effects

Analyzed the impact of non-Markovian baths on quantum coherence

Explored potential for quantum control leveraging non-Markovianity

Abstract

In this work, we developed a rigorous procedure for mapping the exact non-Markovian propagator to the generalized Lindblad form. It allows us to extract the negative decay rate that is the indicator of the non-Markovian effect. As a consequence, we can investigate the influence of the non-Markovian bath on the system's properties such as coherence and equilibrium state distribution. The understanding of the non-Markovian contribution to the dynamical process points to the possibility of leveraging non-Markovianity for quantum control.