Dynamical Instability in a Trimeric Chain of Interacting Bose-Einstein Condensates

TL;DR

This paper thoroughly analyzes the mean-field dynamics of a three-site Bose-Einstein condensate chain, revealing complex behaviors including chaos, stability of fixed points, and potential experimental implications.

Contribution

It provides a detailed analytical study of a nonintegrable three-site BEC system, identifying fixed points, stability conditions, and potential observable effects.

Findings

Identification of fixed points and their stability regimes

Demonstration of complex, chaotic dynamics in the system

Potential for experimental observation of macroscopic effects

Abstract

We analyze thoroughly the mean-field dynamics of a linear chain of three coupled Bose-Einstein condensates, where both the tunneling and the central-well relative depth are adjustable parameters. Owing to its nonintegrability, entailing a complex dynamics with chaos occurrence, this system is a paradigm for longer arrays whose simplicity still allows a thorough analytical study.We identify the set of dynamics fixed points, along with the associated proper modes, and establish their stability character depending on the significant parameters. As an example of the remarkable operational value of our analysis, we point out some macroscopic effects that seem viable to experiments.