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arXiv · 1707.04423

Floquet stroboscopic divisibility in non-Markovian dynamics

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

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V. M. Bastidas, Thi Ha Kyaw, Jirawat Tangpanitanon, Guillermo Romero, Leong-Chuan Kwek, Dimitris G. Angelakis. 2017-07-14. Floquet stroboscopic divisibility in non-Markovian dynamics. https://doi.org/10.1088/1367-2630/aadcbd

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