Mean-field dynamics of a Bose-Hubbard chain coupled to a non-Markovian environment

TL;DR

This paper develops a mean-field approach to analyze the dynamics of an interacting Bose-Hubbard chain coupled to a non-Markovian environment, revealing how initial conditions, interactions, and memory effects influence dissipation.

Contribution

It introduces a path integral-based mean-field method for non-Markovian open quantum systems, providing a new way to study their dissipative dynamics.

Findings

Memory effects significantly impact the system's evolution.

Initial conditions and interactions alter dissipative behavior.

The method enables numerical exploration of complex open quantum systems.

Abstract

We study the dynamics of an interacting Bose-Hubbard chain coupled to a non-Markovian environment. Our basic tool is the reduced generating functional expressed as a path integral over spin-coherent states. We calculate the leading contribution to the corresponding effective action, and by minimizing it, we derive mean-field equations that can be numerically solved. With this tool at hand, we examine the influence of the system's initial conditions and interparticle interactions on the dissipative dynamics. Moreover, we investigate the presence of memory effects due to the non-Markovian environment.