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Phys. Rev. A 68, 065601 (2003) [4 pages]

Anomalous particle-number fluctuations in a three-dimensional interacting Bose-Einstein condensate

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Shujuan Liu1,2, Hongwei Xiong1,2, Guoxiang Huang3, and Zhijun Xu2
1State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan 430071, China
2Department of Applied Physics, Zhejiang University of Technology, Hangzhou 310032, China
3Department of Physics and Key Laboratory for Optical and Magnetic Resonance Spectroscopy, East China Normal University, Shanghai 200062, China

Received 4 June 2003; published 30 December 2003

The particle-number fluctuations originated from collective excitations are investigated for a three-dimensional, repulsively interacting Bose-Einstein condensate (BEC) confined in a harmonic trap. The contribution due to the quantum depletion of the condensate is calculated and the explicit expression of the coefficient in the formulas denoting the particle-number fluctuations is given. The results show that the particle-number fluctuations of the condensate follow the law 〈δN02〉∼N22/15 and the fluctuations vanish when temperature approaches the BEC critical temperature.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.68.065601
DOI:
10.1103/PhysRevA.68.065601
PACS:
03.75.Hh, 03.75.Kk, 05.30.Jp, 67.40.Db
 
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