An analytical study of resonant transport of Bose-Einstein condensates

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dc.creatorRapedius, K.
dc.creatorWitthaut, D.
dc.creatorKorsch, H. J.
dc.date2005-07-28
dc.date.accessioned2026-07-07T06:31:17Z
dc.date.available2026-07-07T06:31:17Z
dc.descriptionWe study the stationary nonlinear Schrödinger equation, or Gross-Pitaevskii equation, for a one--dimensional finite square well potential. By neglecting the mean--field interaction outside the potential well it is possible to discuss the transport properties of the system analytically in terms of ingoing and outgoing waves. Resonances and bound states are obtained analytically. The transmitted flux shows a bistable behaviour. Novel crossing scenarios of eigenstates similar to beak--to--beak structures are observed for a repulsive mean-field interaction. It is proven that resonances transform to bound states due to an attractive nonlinearity and vice versa for a repulsive nonlinearity, and the critical nonlinearity for the transformation is calculated analytically. The bound state wavefunctions of the system satisfy an oscillation theorem as in the case of linear quantum mechanics. Furthermore, the implications of the eigenstates on the dymamics of the system are discussed.
dc.descriptionRevTeX4, 16 pages, 19 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0507679
dc.identifierhttp://arxiv.org/abs/cond-mat/0507679
dc.identifierPhys. Rev. A 73, 033608 (2006)
dc.identifierdoi:10.1103/PhysRevA.73.033608
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98562
dc.subjectOther Condensed Matter
dc.titleAn analytical study of resonant transport of Bose-Einstein condensates
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