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dc.contributor.authorAdhikari, Sadhan Kumar-
dc.contributor.authorMalomed, Boris A.-
dc.identifier.citationPhysica D-nonlinear Phenomena. Amsterdam: Elsevier B.V., v. 238, n. 15, p. 1402-1412, 2009.-
dc.description.abstractWe consider a dynamical model for a Fermi gas in the Bardeen-Cooper-Schrieffer (BCS) superfluid state, trapped in a combination of a ID or 2D optical lattice (OL) and a tight parabolic potential, acting in the transverse direction(s). The model is based oil an equation for the order parameter (wave function), which is derived from the energy density for the weakly coupled BCS superfluid. The equation includes a nonlinear self-repulsive term of power 7/3, which accounts for the Fermi pressure. Reducing the equation to the I D or 2D form, we construct families of stable I D and 2D gap solitons (GSs) by means of numerical simulations, which are guided by the variational approximation (VA). The GSs are, chiefly. compact objects trapped in a single cell of the OL potential. In the linear limit, the VA predicts almost exact positions of narrow Bloch bands that separate the semi-infinite and first finite gaps, as well as the first and second finite ones. Families of stable even and odd bound states of I D GSs are constructed, too. We also demonstrate that the GS can be dragged without much distortion by an OL moving at a moderate velocity (similar to 1 mm/s, in physical units). The predicted GSs contain similar to 10(3)-10(4) and similar to 10(3) atoms per 1D and 2D settings, respectively. (C) 2008 Elsevier B.V. All rights reserved.en
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)-
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)-
dc.description.sponsorshipIsrael Science Foundation-
dc.description.sponsorshipGerman-Israel Foundation-
dc.publisherElsevier B.V.-
dc.sourceWeb of Science-
dc.subjectFermi superfluiden
dc.subjectMatter-wave solitonen
dc.subjectMean-field theoryen
dc.titleGap solitons in a model of a superfluid fermion gas in optical latticesen
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)-
dc.contributor.institutionTel Aviv Univ-
dc.description.affiliationSão Paulo State Univ, UNESP, Inst Fis Teor, BR-01405900 São Paulo, Brazil-
dc.description.affiliationTel Aviv Univ, Sch Elect Engn, Dept Phys Elect, IL-69978 Tel Aviv, Israel-
dc.description.affiliationUnespSão Paulo State Univ, UNESP, Inst Fis Teor, BR-01405900 São Paulo, Brazil-
dc.description.sponsorshipIdISF: 8006/03-
dc.description.sponsorshipIdGerman-Israel Foundation: 149/2006-
dc.rights.accessRightsAcesso restrito-
dc.relation.ispartofPhysica D: Nonlinear Phenomena-
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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