Change in the adiabatic invariant in a nonlinear two-mode model of Feshbach resonance passage

Mean-field approach has recently been used to model coupled atom-molecular Bose–Einstein condensates (BEC) and coupled Fermi–Bose condensates near Feshbach resonance. Sweeping of magnetic field across the resonance gives a new (nonlinear) version of Landau–Zener problem. We investigate the structure...

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Bibliographic Details
Published in:Physica. D 2007-08, Vol.232 (2), p.108-115
Main Authors: Itin, A.P., Vasiliev, A.A., Krishna, G., Watanabe, S.
Format: Article
Language:English
Subjects:
Adiabatic invariants
Chaos
Classical action
Destruction of adiabatic invariance
Feshbach resonance
Nonadiabatic transition
Nonlinear Landau–Zener model
Separatrix crossing
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Summary:Mean-field approach has recently been used to model coupled atom-molecular Bose–Einstein condensates (BEC) and coupled Fermi–Bose condensates near Feshbach resonance. Sweeping of magnetic field across the resonance gives a new (nonlinear) version of Landau–Zener problem. We investigate the structure of the corresponding classical phase space and calculate change in the action which corresponds to finite-rate efficiency of the sweep. We consider the case of nonzero initial action, which corresponds to some finite initial molecular fraction.
ISSN:0167-2789
1872-8022
DOI:10.1016/j.physd.2007.06.001