Dynamics of a many-particle Landau-Zener model: Inverse sweep
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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2009-05-01
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en
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3
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Physical Review A, Volume 79, issue 5, pp. 1-3
Abstract
We consider dynamics of a slowly time-dependent Dicke model, which represents a many-body generalization of the Landau-Zener model. In particular, the model describes narrow Feshbach resonance passage in an ultracold gas of Fermi atoms. Adiabaticity is destroyed when a parameter crosses a critical value, even at very slow sweeping rates of a parameter. The dynamics crucially depends on direction of the sweep. We apply our recent analysis (A. P. Itin and P. Törmö, e-print arXiv:0901.4778) to the "inverse" sweep through the resonance, corresponding (in a context of Feshbach resonance passage) to dissociation of molecules. On a level of the mean-field approximation, the dynamics is equivalent to a molecular condensate formation from Bose atoms within a two-mode model. Mapping the system to a Painlevã equation allows us to calculate deviation from adiabaticity at very slow sweeps analytically.Description
Keywords
boson systems, dissociation, fermion systems, radiation pressure
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Itin, A P & Törmä, P 2009, ' Dynamics of a many-particle Landau-Zener model : Inverse sweep ', Physical Review A, vol. 79, no. 5, 055602, pp. 1-3 . https://doi.org/10.1103/PhysRevA.79.055602