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W2963869105 abstract "We 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." @default.
W2963869105 created "2019-07-30" @default.
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W2963869105 date "2005-12-22" @default.
W2963869105 modified "2023-09-27" @default.
W2963869105 title "Finite-dimensional model for the condensate tunneling in an accelerating optical lattice" @default.
W2963869105 hasPublicationYear "2005" @default.
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