Stationary states of Bose-Einstein condensates in single- and multi-well trapping potentials

Simple item page
dc.creatorD'Agosta, Roberto
dc.creatorMalomed, Boris A.
dc.creatorPresilla, Carlo
dc.date2001-07-09
dc.date.accessioned2026-07-07T02:42:06Z
dc.date.available2026-07-07T02:42:06Z
dc.descriptionThe stationary solutions of the Gross-Pitaevskii equation can be divided in two classes: those which reduce, in the limit of vanishing nonlinearity, to the eigenfunctions of the associated Schrödinger equation and those which do not have linear counterpart. Analytical and numerical results support an existence condition for the solutions of the first class in terms of the ratio between their proper frequency and the corresponding linear eigenvalue. For one-dimensional confined systems, we show that solutions without linear counterpart do exist in presence of a multi-well external potential. These solutions, which in the limit of strong nonlinearity have the form of chains of dark or bright solitons located near the extrema of the potential, represent macroscopically excited states of a Bose-Einstein condensate and are in principle experimentally observable.
dc.description13 pages, 5 figures, presented at the 10th International Laser Physics Workshop (LPHYS'01), Moscow, Russia, July 3-7, 2001
dc.identifierhttps://arxiv.org/abs/cond-mat/0107184
dc.identifierhttp://arxiv.org/abs/cond-mat/0107184
dc.identifierLaser Physics 12, 37-42 (2002)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/18002
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subjectPattern Formation and Solitons
dc.subjectQuantum Physics
dc.titleStationary states of Bose-Einstein condensates in single- and multi-well trapping potentials
dc.typetext

Files

Collections

arXiv