Phys. Rev. A 66, 053612 (2002) [7 pages]Highly anisotropic Bose-Einstein condensates: Crossover to lower dimensionalityReceived 20 June 2002; published 14 November 2002 We develop a simple analytical model based on a variational method to explain the properties of trapped cylindrically symmetric Bose-Einstein condensates of varying degrees of anisotropy, well into the regimes of effective one dimension and effective two dimensions. Our results are accurate in regimes where the Thomas-Fermi approximation breaks down and they are shown to be in agreement with recent experimental data. We also present analytic expressions for various ground-state properties and quasiparticle excitations valid for highly anisotropic condensates. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.66.053612
DOI:
10.1103/PhysRevA.66.053612
PACS:
03.75.Fi, 05.30.Jp, 67.40.Db, 03.65.Ge
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