Vortex core structure and global properties of rapidly rotating Bose-Einstein condensates

Simple item page
dc.creatorBaym, Gordon
dc.creatorPethick, C. J.
dc.date2003-08-16
dc.date.accessioned2026-07-07T12:37:40Z
dc.date.available2026-07-07T12:37:40Z
dc.descriptionWe develop an approach for calculating stationary states of rotating Bose-Einstein condensates in harmonic traps which is applicable for arbitrary ratios of the rotation frequency to the transverse frequency of the trap $ω_{\perp}$. Assuming the number of vortices to be large, we write the condensate wave function as the product of a function that describes the structure of individual vortices times an envelope function, varying slowly on the scale of the vortex spacing. By minimizing the energy, we derive Gross-Pitaevskii equations that determine the properties of individual vortices and the global structure of the cloud. For low rotation rates, the structure of a vortex is that of an isolated vortex in a uniform medium, while for rotation rates approaching the frequency of the trap (the mean field quantum Hall regime), the structure is that of the lowest p-wave state of a particle in a harmonic trap with frequency $ω_{\perp}$. The global structure of the cloud is determined by minimizing the energy with respect to variations of the envelope function; for conditions appropriate to most experimental investigations to date, we predict that the transverse density profile of the cloud will be of the Thomas-Fermi form, rather than the Gaussian structure predicted on the assumption that the wave function consists only of components in the lowest Landau level.
dc.description11 pages in LateX, 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0308325
dc.identifierhttp://arxiv.org/abs/cond-mat/0308325
dc.identifierPhys.Rev.A69:043619,2004
dc.identifierdoi:10.1103/PhysRevA.69.043619
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218520
dc.subjectSoft Condensed Matter
dc.subjectMesoscale and Nanoscale Physics
dc.titleVortex core structure and global properties of rapidly rotating Bose-Einstein condensates
dc.typetext

Files

Collections

arXiv