Chaotic behavior, collective modes, and self-trapping in the dynamics of three coupled Bose-Einstein condensates
Anno: 2003
Autori: Franzosi R., Penna V.
Affiliazione autori: Dipartimento di Fisica dell’Università di Pisa and INFN, Sezione di Pisa, Via Buonarroti 2, I-56127 Pisa, Italy; Dipartimento di Fisica and UdR INFM, Torino Politecnico, Corso Duca degli Abruzzi 24, I-10129 Torino, Italy
Abstract: The dynamics of the three coupled bosonic wells (trimer) containing N bosons is investigated within a standard (mean-field) semiclassical picture based on the coherent-state method. Various periodic solutions (configured as pi-like, dimerlike, and vortex states) representing collective modes are obtained analytically when the fixed points of trimer dynamics are identified on the N=const submanifold in the phase space. Hyperbolic, maximum and minimum points are recognized in the fixed-point set by studying the Hessian signature of the trimer Hamiltonian. The system dynamics in the neighborhood of periodic orbits (associated with fixed points) is studied via numeric integration of trimer motion equations, thus revealing a diffused chaotic behavior (not excluding the presence of regular orbits), macroscopic effects of population inversion, and self-trapping. In particular, the behavior of orbits with initial conditions close to the dimerlike periodic orbits shows how the self-trapping effect of dimerlike integrable subregimes is destroyed by the presence of chaos.
Giornale/Rivista: PHYSICAL REVIEW E
Volume: 67 (4.2) Da Pagina: 046227-1 A: 046227-16
Parole chiavi: Approximation theory; Chaos theory; Eigenvalues and eigenfunctions; Ground state; Hamiltonians, Coupled bosonic wells, Gas condensatesDOI: 10.1103/PhysRevE.67.046227Citazioni: 99dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2024-05-05Riferimenti tratti da Isi Web of Knowledge: (solo abbonati) Link per visualizzare la scheda su IsiWeb: Clicca quiLink per visualizzare la citazioni su IsiWeb: Clicca qui