Exact solutions for equations of Bose-Fermi mixtures in one-dimensional optical lattice

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creativework.keywordsBose-Fermi mixtures, One dimensional optical lattice
creativework.publisherInstitute of Mathematicsen
dc.contributor.authorKostov N.A.
dc.contributor.authorGerdjikov V.S.
dc.contributor.authorValchev T.I.
dc.date.accessioned2024-07-10T14:27:03Z
dc.date.accessioned2024-07-10T14:48:02Z
dc.date.available2024-07-10T14:27:03Z
dc.date.available2024-07-10T14:48:02Z
dc.date.issued2007-01-01
dc.description.abstractWe present two new families of stationary solutions for equations of Bose-Fermi mixtures with an elliptic function potential with modulus k. We also discuss particular cases when the quasiperiodic solutions become periodic ones. In the limit of a sinusoidal potential (k → 0) our solutions model a quasi-one dimensional quantum degenerate Bose- Fermi mixture trapped in optical lattice. In the limit k → 1 the solutions are expressed by hyperbolic function solutions (vector solitons). Thus we are able to obtain in an unified way quasi-periodic and periodic waves, and solitons. The precise conditions for existence of every class of solutions are derived. There are indications that such waves and localized objects may be observed in experiments with cold quantum degenerate gases.
dc.identifier.doi10.3842/SIGMA.2007.071
dc.identifier.issn1815-0659
dc.identifier.scopusSCOPUS_ID:84889236284en
dc.identifier.urihttps://rlib.uctm.edu/handle/123456789/296
dc.language.isoen
dc.source.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84889236284&origin=inward
dc.titleExact solutions for equations of Bose-Fermi mixtures in one-dimensional optical lattice
dc.typeArticle
oaire.citation.volume3
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