Instability Effects in the Dynamics of Three Coupled Bosonic Wells

Year: 2003

Authors: Buonsante P., Franzosi R., Penna V.

Autors Affiliation: Dipartimento di Fisica Unita INFM, Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129 Torino, Italy; Dipartimento di Fisica Sezione INFN, Universitá di Pisa, Via Buonarroti 2, I-56127 Pisa, Italy

Abstract: We report on the dynamics of three bosonic wells (trimer model) coupled cyclically and occupied by N bosons within the standard mean-field picture. Based on the identification of the fixed points of the dynam- ics, we find periodic solutions representing the trimer proper modes (the system behavior is discussed for initial conditions close to such states in some relevant cases) and the origin of dynamical instabilities. A diffused cha- otic behavior and various macroscopic phenomena are detected numerically. Their dependence on macroscopic model parameters is evaluated as well. Finally, we consider the trimer dynamics for an open chain in the case when the central well has an adjustable depth.

Journal/Review: LASER PHYSICS

Volume: 13 (4)      Pages from: 537  to: 542

KeyWords: Dynamics; Hamiltonians; Mathematical models; Numerical methods; Parameter estimation; Stability, Bosonic wells; Instability effects; Macroscopic model parameters, Condensation

Citations: 4
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