Bose-Einstein condensates in accelerated double-periodic optical lattices: Coupling and Crossing of resonances

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dc.creatorWitthaut, D.
dc.creatorGraefe, E. M.
dc.creatorWimberger, S.
dc.creatorKorsch, H. J.
dc.date2006-09-27
dc.date.accessioned2026-07-07T09:56:02Z
dc.date.available2026-07-07T09:56:02Z
dc.descriptionWe study the properties of coupled linear and nonlinear resonances. The fundamental phenomena and the level crossing scenarios are introduced for a nonlinear two-level system with one decaying state, describing the dynamics of a Bose-Einstein condensate in a mean-field approximation (Gross-Pitaevskii or nonlinear Schroedinger equation). An important application of the discussed concepts is the dynamics of a condensate in tilted optical lattices. In particular the properties of resonance eigenstates in double-periodic lattices are discussed, in the linear case as well as within mean-field theory. The decay is strongly altered, if an additional period-doubled lattice is introduced. Our analytic study is supported by numerical computations of nonlinear resonance states, and future applications of our findings for experiments with ultracold atoms are discussed.
dc.description12 pages, 17 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0609683
dc.identifierhttp://arxiv.org/abs/cond-mat/0609683
dc.identifierPhys. Rev. A 75, 013617 (2007)
dc.identifierdoi:10.1103/PhysRevA.75.013617
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166843
dc.subjectOther Condensed Matter
dc.titleBose-Einstein condensates in accelerated double-periodic optical lattices: Coupling and Crossing of resonances
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