Control of unstable macroscopic oscillations in the dynamics of three coupled Bose condensates

TL;DR

This paper investigates the stability of macroscopic quantum oscillations in a system of three coupled Bose-Einstein condensates, identifying mechanisms to control stability and proposing experimentally observable effects.

Contribution

It introduces a detailed stability analysis of three coupled condensates and identifies regimes for stable oscillations and Josephson-like effects, advancing understanding of controllable quantum dynamics.

Findings

Identified three mechanisms for transition from unstable to stable oscillations.

Proposed a regime where population oscillations relate directly to phase difference.

Suggested experimental observability of macroscopic effects and phase estimation.

Abstract

We study the dynamical stability of the macroscopic quantum oscillations characterizing a system of three coupled Bose-Einstein condensates arranged into an open-chain geometry. The boson interaction, the hopping amplitude and the central-well relative depth are regarded as adjustable parameters. After deriving the stability diagrams of the system, we identify three mechanisms to realize the transition from an unstable to stable behavior and analyze specific configurations that, by suitably tuning the model parameters, give rise to macroscopic effects which are expected to be accessible to experimental observation. Also, we pinpoint a system regime that realizes a Josephson-junction-like effect. In this regime the system configuration do not depend on the model interaction parameters, and the population oscillation amplitude is related to the condensate-phase difference. This fact makes possible estimating the latter quantity, since the measure of the oscillating amplitudes is experimentally accessible.