2003/02/05 by P. Buonsante, Roberto Franzosi, R. Franzosi +2 · 4 citations
Mathematics · Physics and Astronomy · #Bose–Einstein condensate #Chain (unit) #Character (mathematics) #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Field (mathematics) #Fixed point #Instability #Mathematical analysis #Mathematics #Nonlinear Photonic Systems #Physics #Quantum mechanics #Quantum tunnelling #Simplicity #Stability (learning theory) #Statistical physics #Strong Light-Matter Interactions #cond-mat.other
paper · pdf · doi:10.1103/physrevlett.90.050404
published as Phys. Rev Lett. 90 (2003) 050404 · 5 pages, 3 figures
openalex publication_date 2003/02/05 · arxiv created 2006/10/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.