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

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

2004-01-26

arxiv.org/abs/cond-mat/0401507v2

Europhysics Letters 66 (2004) 771

Physics

Condensed Matter

Other Condensed Matter

Scientific paper

10.1209/epl/i2004-10035-7

We 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.

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