Floquet stroboscopic divisibility in non-Markovian dynamics

We provide a general description of a time-local master equation for a system coupled to a non-Markovian reservoir based on Floquet theory. Surprisingly, this allows us to have a divisible dynamical map at discrete times, which we refer to as Floquet stroboscopic divisibility. We illustrate the general theory by considering a Schrodinger cat coupled to both non-Markovian and Markovian baths. In the non-Markovian regime, we show the appearance of a partial stroboscopic revival of the cat at later time after its death.