Quasi 1 and 2d Dilute Bose Gas in Magnetic Traps : Existence of Off-Diagonal Order and Anomalous Quantum Fluctuations

Details Quasi 1 and 2d Dilute Bose Gas in Magnetic Traps : Existence of Off-Diagonal Order and Anomalous Quantum Fluctuations Quasi 1 and 2d Dilute Bose Gas in Magnetic Traps : Existence of Off-Diagonal Order and Anomalous Quantum Fluctuations

1997-03-03

arxiv.org/abs/cond-mat/9703034v3

Physics

Condensed Matter

revised manuscript, some errors in a previous formula (which do not affect the main results) are corrected

Scientific paper

Current magnetic traps can be made so anisotropic that the atomic gas trapped inside behaves like quasi one or two dimensional system. Unlike the homogeneous case, quantum phase fluctuations do not destroy macroscopic off-diagonal order of trapped Bose gases in $d\leq 2$. In the dilute limit, quantum fluctuations increase, remain constant, and decrease with size for $% 3, 2, 1d$ respectively. These behaviors are due to the combination of a finite gap and the universal spectrum of the collective mode.

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