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

Abstract

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.

17 pages, 4 figures

References in corpus (3)

• Nonequilibrium dynamics and thermodynamics of a degenerate Fermi gas across a Feshbach resonance
• Universality in nonadiabatic behaviour of classical actions in nonlinear models with separatrix crossings
• A Bethe ansatz solvable model for superpositions of Cooper pairs and condensed molecular bosons

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• BEC-BCS crossover in a p+ip-wave pairing Hamiltonian coupled to bosonic molecular pairs
• Adiabatic tracking for photo- and magneto-association of Bose-Einstein condensates with Kerr nonlinearities
• On the adiabaticity of emittance exchange due to crossing of the coupling resonance