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

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.

5 pages, 3 figures

Cited by in corpus (6)

• Beyond mean-field dynamics of small Bose-Hubbard systems based on the number-conserving phase space approach
• Many-body Landau-Zener tunneling in the Bose-Hubbard model
• Control of unstable macroscopic oscillations in the dynamics of three coupled Bose condensates
• Persistence of mean-field features in the energy spectrum of small arrays of Bose-Einstein condensates
• From the superfluid to the Mott regime and back: triggering a non-trivial dynamics in an array of coupled condensates
• An algebraic approach to the study of weakly excited states for a condensate in a ring geometry