Tkachenko modes and structural phase transitions of the vortex lattice of a two-component Bose-Einstein condensate

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dc.citation.epage23en_US
dc.citation.issueNumber2en_US
dc.citation.spage1en_US
dc.citation.volumeNumber73en_US
dc.contributor.authorKeçeli, M.en_US
dc.contributor.authorOktel, M. Ö.en_US
dc.date.accessioned2016-02-08T10:20:33Z
dc.date.available2016-02-08T10:20:33Z
dc.date.issued2006en_US
dc.departmentDepartment of Physicsen_US
dc.description.abstractWe consider a rapidly rotating two-component Bose-Einstein condensate (BEC) containing a vortex lattice. We calculate the dispersion relation for small oscillations of vortex positions (Tkachenko modes) in the mean-field quantum Hall regime, taking into account the coupling of these modes with density excitations. Using an analytic form for the density of the vortex lattice, we numerically calculate the elastic constants for different lattice geometries. We also apply this method to calculate the elastic constant for the single-component triangular lattice. For a two-component BEC, there are two kinds of Tkachenko modes, which we call acoustic and optical in analogy with phonons. For all lattice types, acoustic Tkachenko mode frequencies have quadratic wave-number dependence at long wavelengths, while the optical Tkachenko modes have linear dependence. For triangular lattices the dispersion of the Tkachenko modes are isotropic, while for other lattice types the dispersion relations show directional dependence consistent with the symmetry of the lattice. Depending on the intercomponent interaction there are five distinct lattice types, and four structural phase transitions between them. Two of these transitions are second order and are accompanied by the softening of an acoustic Tkachenko mode. The remaining two transitions are first order and while one of them is accompanied by the softening of an optical mode, the other does not have any dramatic effect on the Tkachenko spectrum. We also find an instability of the vortex lattice when the intercomponent repulsion becomes stronger than the repulsion within components.en_US
dc.identifier.doi10.1103/PhysRevA.73.023611en_US
dc.identifier.issn0003-0503
dc.identifier.urihttp://hdl.handle.net/11693/23875
dc.language.isoEnglishen_US
dc.publisherAmerican Physical Societyen_US
dc.relation.isversionofhttp://dx.doi.org/10.1103/PhysRevA.73.023611en_US
dc.source.titlePhysical Review A - Atomic, Molecular, and Optical Physicsen_US
dc.subjectElectromagnetic dispersionen_US
dc.subjectHall effecten_US
dc.subjectPhononsen_US
dc.subjectQuantum theoryen_US
dc.subjectSteam condensateen_US
dc.subjectBose-Einstein condensate (BEC)en_US
dc.subjectIntercomponent repulsionen_US
dc.subjectTkachenko modesen_US
dc.subjectPhase transitionsen_US
dc.titleTkachenko modes and structural phase transitions of the vortex lattice of a two-component Bose-Einstein condensateen_US
dc.typeArticleen_US

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