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

TL;DR

This paper investigates the non-Markovian quantum dynamics of coupled cavity arrays using the quantum state diffusion approach, deriving exact equations and exploring environment-memory effects on state transfer.

Contribution

It introduces an exact stochastic framework for N-cavity systems in non-Markovian environments and analyzes environment-memory effects on quantum state transfer.

Findings

Environment-memory enhances cat-like state transfer.

Exact master equations for coupled cavities in non-Markovian baths.

Non-Markovian effects significantly influence quantum dynamics.

Abstract

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 Di\'{o}si-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.