The role of the total entropy production in dynamics of open quantum systems in detection of non-Markovianity

TL;DR

This paper explores how the total entropy production in open quantum systems can be used as an indicator of non-Markovian dynamics, linking entropy changes to system-environment correlations.

Contribution

It introduces a method to detect non-Markovianity through analyzing the temporary decrease in total entropy production related to system-environment correlations.

Findings

Total entropy production decrease signals non-Markovian behavior

Relation established between entropy production and total correlations

Method provides a new way to identify non-Markovian dynamics

Abstract

In the theory of open quantum systems interaction is a fundamental concepts in the review of the dynamics of open quantum systems. Correlation, both classical and quantum one, is generated due to interaction between system and environment. Here, we recall the quantity which well known as total entropy production. Appearance of total entropy production is due to the entanglement production between system an environment. In this work, we discuss about the role of the total entropy production for detecting non-Markovianity. By utilizing the relation between total entropy production and total correlation between subsystems, one can see a temporary decrease of total entropy production is a signature of non-Markovianity.