Floquet stroboscopic divisibility in non-Markovian dynamics
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.
Cite
@article{arxiv.1707.04423,
title = {Floquet stroboscopic divisibility in non-Markovian dynamics},
author = {V. M. Bastidas and Thi Ha Kyaw and Jirawat Tangpanitanon and Guillermo Romero and Leong-Chuan Kwek and Dimitris G. Angelakis},
journal= {arXiv preprint arXiv:1707.04423},
year = {2018}
}
Comments
We changed the title and explained in more detail the definition of non-Markovian dynamics used in the manuscript