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

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

2006-11-03

arxiv.org/abs/nlin/0611007v2

Physica D 232, 108 (2007)

Nonlinear Sciences

Chaotic Dynamics

17 pages, 4 figures

Scientific paper

10.1016/j.physd.2007.06.001

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 non-zero initial action, which corresponds to some finite initial molecular fraction.

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