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Journal de Physique IV (Proceedings)

One-dimensional behavior of elongated Bose-Einstein condensates

Philippe Bouyer, Joseph H. Thywissen, Fabrice Gerbier, Mathilde Hugbart, S. Richard, J. A. Retter, Alain Aspect

Published Oct 1, 2004• 6 citations
Publisher

Abstract

We study the properties of elongated Bose-Einstein condensates. First, we show that the dimensions of the condensate after expansion differs from the 3D Thomas-Fermi regime. We also study the coherence length of such elongated condensates. 1
DOI
10.1051/jp4:2004116009

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I discuss a Bogoliubov inequality for obtaining a rigorous bound on the maximal axial extension of inhomogeneous one-dimensional Bose-Einstein condensates. An explicit upper limit for the aspect ratio of a strongly elongated, harmonically trapped Thomas-Fermi condensate is derived. The question on the existence and dimension dependence of off-diagonal long-range order, for an infinitely extended system of scalar uncharged bosons, was conclusively answered by Hohenberg 1. He made use of the fact that in the thermodynamic limit of an infinite system of interacting particles of bare mass m, the relation (we set � = kB = 1 in what follows, where kB is the Boltzmann constant) Nk ≥ − 1 mT 2 k2 n0
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