Aspect ratio analysis for ground states of bosons in anisotropic traps

Details Aspect ratio analysis for ground states of bosons in anisotropic traps Aspect ratio analysis for ground states of bosons in anisotropic traps

1995-12-22

arxiv.org/abs/cond-mat/9512155v2

Physics

Condensed Matter

12 pages, latex, 3 figures added, minor corrections; to appear in J. Res. Nat. Inst. of Standards and Technology

Scientific paper

Characteristics of the initial condensate in the recent experiment on Bose-Einstein condensation (BEC) of ${}^{87}$Rb atoms in an anisotropic magnetic trap is discussed. Given the aspect ratio $R$, the quality of BEC is estimated. A simple analytical Ansatz for the initial condensate wave function is proposed as a function of the aspect ratio which, in contrast to the Baym-Pethick trial wave function, reproduces both the weak and the strong intaraction limits and which is in better agreement with numerical results than the latter.

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