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Open Quantum Systems Decoherence

Floquet stroboscopic divisibility in non-Markovian dynamics

arXiv

Authors: V. M. Bastidas, Thi Ha Kyaw, Jirawat Tangpanitanon, Guillermo Romero, Leong-Chuan Kwek, Dimitris G. Angelakis

Year

2017

Paper ID

44620

Status

Preprint

Abstract Read

~2 min

Abstract Words

108

Citations

N/A

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 Schrödinger 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.

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We provide a general discussion of the Liouvillian spectrum for a system coupled to a non-Markovian bath using Floquet theory.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1707.04423 [2] arXiv https://arxiv.org/abs/1707.04423 [3] Publisher https://arxiv.org/abs/1707.04423

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