Floquet Stroboboscopic divisibility in Non-Markovian Dynamics

Seminar date and time: 
Tuesday, 14 May, 2019 - 12:00
NTT Basic Research Laboratories
Victor M. Bastidas

One of the fundamental concepts in statistical mechanics is the notion of ergodicity, which is closely related to the lack of memory of a system. In quantum mechanics, it is observed that the interactions redistribute the available
energy and enable thermalization [1]. Under some conditions, however, an external drive can inhibit ergodicity [3–5]. In this case, the system looses the ability to explore all the available states [6–10] and keeps memory of the initial state. In this talk, I will discuss a model where ergodic behavior is broken due to integrability. The reduced dynamics of such as system is given by a time-local master equation with time-periodic rates. Due to the time-periodicity of the master equation, the dynamical map is divisible at discrete times, which is referred to as Floquet stroboscopic divisibility [11]. I will illustrate general theory by studying an oscillator coupled to both non-Markovian and Markovian baths. In this example, if one prepares the system in a cat state, the environment induces stroboscopic revivals of the cat after its death. Our theory may have profound implications in entropy production in non-equilibrium systems.


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