Collective oscillations in a two-dimensional Bose-Einstein condensate with a quantized vortex state

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buir.contributor.authorTanatar, Bilal
buir.contributor.orcidTanatar, Bilal|0000-0002-5246-0119
dc.citation.epage053620-6en_US
dc.citation.issueNumber5en_US
dc.citation.spage053620-1en_US
dc.citation.volumeNumber72en_US
dc.contributor.authorBanerjee, A.en_US
dc.contributor.authorTanatar, Bilalen_US
dc.date.accessioned2016-02-08T10:22:05Z
dc.date.available2016-02-08T10:22:05Z
dc.date.issued2005en_US
dc.departmentDepartment of Physicsen_US
dc.description.abstractWe study the effect of lower dimensional geometry on the frequency splitting of the quadrupole oscillations of a harmonically trapped Bose-Einstein condensate due to the presence of a quantized vortex. To study the effect of two-dimensional geometry we consider a pancake-shaped condensate and employ various models for the coupling parameter depending on the thickness of the condensate relative to the value of the scattering length. Using these models and the sum-rule approach we obtain analytical expressions for the frequency splitting. These expressions are valid for positive scattering length and large N. We show that the frequency splitting of the quadrupole oscillations are significantly altered by the reduced dimensionality and also study the evolution of the splitting as the system makes transition from one scattering regime to the other.en_US
dc.description.provenanceMade available in DSpace on 2016-02-08T10:22:05Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2005en
dc.identifier.doi10.1103/PhysRevA.72.053620en_US
dc.identifier.issn1050-2947
dc.identifier.urihttp://hdl.handle.net/11693/23966
dc.language.isoEnglishen_US
dc.publisherThe American Physical Societyen_US
dc.relation.isversionofhttp://dx.doi.org/10.1103/PhysRevA.72.053620en_US
dc.source.titlePhysical Review A - Atomic, Molecular, and Optical Physicsen_US
dc.subjectFrequency splittingen_US
dc.subjectPancake-shaped condensateen_US
dc.subjectQuantized vortex stateen_US
dc.subjectTwo-dimensional Bose-Einstein condensateen_US
dc.subjectElectron energy levelsen_US
dc.subjectNatural frequenciesen_US
dc.subjectParameter estimationen_US
dc.subjectScatteringen_US
dc.subjectQuantum theoryen_US
dc.titleCollective oscillations in a two-dimensional Bose-Einstein condensate with a quantized vortex stateen_US
dc.typeArticleen_US

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