Floquet stroboscopic divisibility in non-Markovian dynamics

TL;DR

This paper introduces Floquet stroboscopic divisibility in non-Markovian quantum dynamics, revealing how periodic rates induce divisible maps at discrete times and enabling phenomena like revival of quantum states.

Contribution

It develops a general Floquet theory for non-Markovian systems with time-periodic rates, introducing the concept of stroboscopic divisibility in quantum dynamics.

Findings

Floquet theory applies to non-Markovian systems with periodic rates.

Stroboscopic revival of Schrödinger cat states observed.

Implications for entropy production in non-equilibrium systems.

Abstract

We provide a general discussion of the Liouvillian spectrum for a system coupled to a non-Markovian bath using Floquet theory. This approach is suitable when the system is described by a time-convolutionless master equation with time-periodic rates. Surprisingly, the periodic nature of rates allow us to have a stroboscopic divisible dynamical map at discrete times, which we refer to as Floquet stroboscopic divisibility. We illustrate the general theory for a Schr\"odinger cat which is roaming inside a non-Markovian bath, and demonstrate the appearance of stroboscopic revival of the cat at later time after its death. Our theory may have profound implications in entropy production in non-equilibrium systems.