The dynamics of bright matter wave solitons in a quasi one-dimensional Bose-Einstein condensate with a rapidly varying trap

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dc.contributor.authorAbdullaev, F. Kh [UNESP]
dc.contributor.authorGalimzyanov, R.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUzbek Academy of Sciences
dc.date.accessioned2014-05-27T11:20:38Z
dc.date.available2014-05-27T11:20:38Z
dc.date.issued2003-03-28
dc.description.abstractThe dynamics of a bright matter wave soliton in a quasi one-dimensional Bose-Einstein condensate (BEC) with a periodically rapidly varying time trap is considered. The governing equation is based on averaging the fast modulations of the Gross-Pitaevskii (GP) equation. This equation has the form of a GP equation with an effective potential of a more complicated structure than an unperturbed trap. In the case of an inverted (expulsive) quadratic trap corresponding to an unstable GP equation, the effective potential can be stable. For the bounded space trap potential it is showed that bifurcation exists, i.e. the single-well potential bifurcates to the triple-well effective potential. The stabilization of a BEC cloud on-site state in the temporary modulated optical lattice is found. This phenomenon is analogous to the Kapitza stabilization of an inverted pendulum. The analytical predictions of the averaged GP equation are confirmed by numerical simulations of the full GP equation with rapid perturbations.en
dc.description.affiliationInstituto de Fisica Teorica Universidade Estadual Paulista, Rua Pumplona 145, Sao Poulo
dc.description.affiliationPhysical-Technical Institute Uzbek Academy of Sciences, G Mavlyanov Straße, 2-b, 700084, Tashkent-84
dc.description.affiliationUnespInstituto de Fisica Teorica Universidade Estadual Paulista, Rua Pumplona 145, Sao Poulo
dc.format.extent1099-1108
dc.identifierhttp://dx.doi.org/10.1088/0953-4075/36/6/302
dc.identifier.citationJournal of Physics B: Atomic, Molecular and Optical Physics, v. 36, n. 6, p. 1099-1108, 2003.
dc.identifier.doi10.1088/0953-4075/36/6/302
dc.identifier.issn0953-4075
dc.identifier.scopus2-s2.0-0037471149
dc.identifier.urihttp://hdl.handle.net/11449/67239
dc.language.isoeng
dc.relation.ispartofJournal of Physics B: Atomic, Molecular and Optical Physics
dc.relation.ispartofjcr2.119
dc.relation.ispartofsjr0,850
dc.rights.accessRightsAcesso restrito
dc.sourceScopus
dc.subjectComputer simulation
dc.subjectEquations of motion
dc.subjectGas condensates
dc.subjectScattering
dc.subjectWave solitons
dc.subjectSolitons
dc.titleThe dynamics of bright matter wave solitons in a quasi one-dimensional Bose-Einstein condensate with a rapidly varying trapen
dc.typeArtigo
dcterms.licensehttp://iopscience.iop.org/page/copyright
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulopt

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