Spatial Chaos of Bose-Einstein Condensates in a Cigar-Shaped Trap

(整期优先)网络出版时间:2007-07-17
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<正>ThespatialchaosofBose-Einsteincondensatesinacigar-shapedtrapisstudied.Forasystemwithasteadycurrent,weconstructthegeneralsolutionofthe1st-orderequation.Fromtheboundednessconditionofthegeneralsolution,weobtaintheMelnikovfunctionpredictingtheonsetofchaos.Theunpredictabilityofthesystem’sdis-tributionofatomdensityisalsotheoreticallyanalyzed.Fora23Nasystemmeetingtheperturbationoondition,numericalsimulationsshowtheexistenceofchaos,whichisinaccordancewithouranalyticalresults.Numericalsimulationsofa87Rbsystemdissatisfyingtheperturbationconditionalsodemonstratethatthereexistschaosinthesystem.Thecasewithoutacurrentisalsoinvestigated.