Comparing different non-Markovianity measures: A case study

TL;DR

This paper compares two non-Markovianity measures in a driven qubit system, analyzing how driving influences energy and information transfer and affects quantum property preservation.

Contribution

It provides a comparative analysis of non-Markovianity measures and explores the impact of driving forces on quantum system dynamics.

Findings

Drive can slow down quantum property loss

Differences and similarities between non-Markovianity measures

Driving influences energy and information transfer channels

Abstract

We consider two recently proposed measures of non-Markovianity applied to a particular quantum process describing the dynamics of a driven qubit in a structured reservoir. The motivation of this study is twofold: on one hand, we study the differences and analogies of the non-Markovianity measures and on the other hand, we investigate the effect of the driving force on the dissipative dynamics of the qubit. In particular we ask if the drive introduces new channels for energy and/or information transfer between the system and the environment, or amplifies existing ones. We show under which conditions the presence of the drive slows down the inevitable loss of quantum properties of the qubit.