Floquet stroboscopic divisibility in non-Markovian dynamics

Abstract

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