Energy backflow in strongly coupled non-Markovian continuous-variables systems

TL;DR

This paper investigates energy backflow in non-Markovian continuous-variable quantum systems using full counting statistics, analyzing both weak and strong coupling regimes and relating energy backflow to non-Markovianity measures.

Contribution

It introduces a formalism to quantify energy backflow in non-Markovian systems and applies it to quantum Brownian motion, connecting energy flow with non-Markovianity measures.

Findings

Energy backflow can be analytically characterized in weak coupling.

Numerical analysis reveals energy backflow in strong coupling regimes.

Energy backflow correlates with non-Markovianity measures.

Abstract

By employing the full counting statistics formalism, we characterize the first moment of energy that is exchanged during a generally non-Markovian evolution in non-driven continuous variables systems. In particular, we focus on the evaluation of the energy flowing back from the environment into the open quantum system. We apply these results to the quantum Brownian motion, where these quantities are calculated both analytically, under the weak coupling assumption, and numerically also in the strong coupling regime. Finally, we characterize the non-Markovianity of the reduced dynamics through a recently introduced witness based on the so-called Gaussian interferometric power and we discuss its relationship with the energy backflow measure.