Dynamics of coupled cavity arrays embedded in a non-Markovian bath

In this paper, the non-Markovian quantum dynamics of a coupled N-cavity model is studied based on the quantum state diffusion (QSD) approach. The time-local Díosi- Gisin-Strunz equation and the corresponding exact master equation are derived for the model consisting of a coupled cavity array. The resulting QSD equation serves as a stochastic solution to a genuine N-partite continuous-variable (CV) system. Several non- Markovian effects are studied in two interesting examples - two-cavity and three-cavity, under different boundary conditions. We have shown that the environment-memory can facilitate the cat-like state transfer from one cavity to another in the case of a strongly non-Markovian environment.