Asymmetries in the tunneling probability of Bose-Einstein condensate in an accelerating optical lattice

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dc.creatorShchesnovich, Valery S.
dc.creatorCavalcanti, Solange B.
dc.date2005-12-22
dc.date2006-03-18
dc.date.accessioned2026-07-07T06:53:37Z
dc.date.available2026-07-07T06:53:37Z
dc.descriptionWe derive a two-band finite-dimensional model for description of the condensate tunneling in an accelerating optical lattice, taking into account the fine Bloch band structure. The model reveals a very strong dependence of the final band populations on the initial populations and phases. Most importantly, additionally to the known asymmetric dependence on the nonlinearity, there is also a notable asymmetry in the sensitivity of the tunneling probability to the nonliearity-induced initial population of the Bloch band to which the tunneling takes place. This fact can explain the experimentally observed unexpected independence of the upper-to-lower tunneling probablity on the nonlinearity. Finally, we compare the predictions of the two-band model with that of the well-known nonlinear Landau-Zener model and find disagreement when the two bands are initially populated. The disagreement can be qualitative and reveals itself even for a negligible nonlinearity. However, the two models agree remarkably well if just one band is populated initially.
dc.description23 pages, 7 figures. Revised section V and changed figure 7. To appear in J. Phys. B: Atomic, Molecular and Optical Physics
dc.identifierhttps://arxiv.org/abs/cond-mat/0512565
dc.identifierhttp://arxiv.org/abs/cond-mat/0512565
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105651
dc.subjectOther Condensed Matter
dc.subjectAtomic Physics
dc.subjectQuantum Physics
dc.titleAsymmetries in the tunneling probability of Bose-Einstein condensate in an accelerating optical lattice
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