Quasi-1D Bose-Einstein condensates in the dimensional crossover regime

dc.creatorGerbier, Fabrice
dc.date2004-01-26
dc.date2004-06-08
dc.date.accessioned2026-07-07T02:56:05Z
dc.date.available2026-07-07T02:56:05Z
dc.descriptionWe study theoretically the dimensional crossover from a three-dimensional elongated condensate to a one-dimensional condensate as the transverse degrees of freedom get frozen by tight confinement, in the limit of small density fluctuations, i.e. for a strongly degenerate gas. We compute analytically the radially integrated density profile at low temperatures using a local density approximation, and study the behavior of phase fluctuations with the transverse confinement. Previous studies of phase fluctuations in trapped gases have either focused on the 3D elongated regimes or on the 1D regime. The present approach recovers these previous results and is able to interpolate between them. We show in particular that in this strongly degenerate limit the shape of the spatial correlation function is insensitive to the transverse regime of confinement, pointing out to an almost universal behavior of phase fluctuations in elongated traps.
dc.identifierhttps://arxiv.org/abs/cond-mat/0401507
dc.identifierhttp://arxiv.org/abs/cond-mat/0401507
dc.identifierEurophysics Letters 66 (2004) 771
dc.identifierdoi:10.1209/epl/i2004-10035-7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/23185
dc.subjectOther Condensed Matter
dc.titleQuasi-1D Bose-Einstein condensates in the dimensional crossover regime
dc.typetext

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