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Type: Artigo de periódico
Title: Coherent state approach to the cross-collisional effects in the population dynamics of a two-mode Bose-Einstein condensate
Author: Viscondi, TF
Furuya, K
de Oliveira, MC
Abstract: We reanalyze the non-linear population dynamics of a Bose-Einstein condensate (BEC) in a double well trap considering a semi-classical approach based on a time dependent variational principle applied to coherent states associated to SU(2) group. Employing a two-mode local approximation and hard sphere type interaction, we show in the Schwinger's pseudo-spin language the occurrence of a fixed point bifurcation that originates a separatrix of motion on a sphere. This separatrix corresponds to the borderline between two dynamical regimes of Josephson oscillations and mesoscopic self-trapping. We also consider the effects of interaction between particles in different wells, known as cross-collisions. Such terms are usually neglected for traps sufficiently far apart, but recently it has been shown that they contribute to the effective tunneling constant with a factor growing linearly with the particle number. This effect changes considerably the effective tunneling of the system for sufficiently large number of trapped atoms, in perfect accord with experimental data. Finally, we identify analytically the transition parameter associated to the bifurcation in the generalized phase space of the model with cross-collision terms, and show how the dynamical regime depends on the initial conditions of the system and the collisional parameters values. (C) 2009 Elsevier Inc. All rights reserved.
Subject: Bose-Einstein condensation
Two-mode approximation
Non-linear dynamical transition
Country: EUA
Editor: Academic Press Inc Elsevier Science
Citation: Annals Of Physics. Academic Press Inc Elsevier Science, v. 324, n. 9, n. 1837, n. 1846, 2009.
Rights: fechado
Identifier DOI: 10.1016/j.aop.2009.05.008
Date Issue: 2009
Appears in Collections:Unicamp - Artigos e Outros Documentos

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