Anomalous fluctuations of two-dimensional Bose-Einstein condensates

Details Anomalous fluctuations of two-dimensional Bose-Einstein condensates Anomalous fluctuations of two-dimensional Bose-Einstein condensates

2002-10-27

arxiv.org/abs/cond-mat/0210593v2

Phys. Rev. A 67 (2003)055601

Physics

Condensed Matter

Soft Condensed Matter

RevTex format, no figures, hongweixiong@hotmail.com, to appear in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.67.055601

We investigate the particle-number fluctuations due to the collective excitations created in a two-dimensional (2D) and a quasi-2D Bose-Einstein condensates (BECs) at low temperature. We find that the fluctuations display an anomalous behavior, i. e. for the 2D BEC they are proportional to $N^2$, where $N$ is the total number of particles. For the quasi-2D BEC, the particle-number fluctuations are proportional not only to $N^2$ but also to the square root of the trapping frequency in the strongly-confined direction.

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