Condensate fluctuations in finite Bose-Einstein condensates at finite temperature
arXiv:cond-mat/0005107 · doi:10.1103/PhysRevA.62.023609
Abstract
A Langevin equation for the complex amplitude of a single-mode Bose-Einstein condensate is derived. The equation is first formulated phenomenologically, defining three transport parameters. It is then also derived microscopically. Expressions for the transport parameters in the form of Green-Kubo formulas are thereby derived and evaluated for simple trap geometries, a cubic box with cyclic boundary conditions and an isotropic parabolic trap. The number fluctuations in the condensate, their correlation time, and the temperature-dependent collapse-time of the order parameter as well as its phase-diffusion coefficient are calculated.
29 pages, Revtex, to appear in Phys.Rev.A
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Cited by in corpus (10)
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- Condensate fluctuations in the dilute Bose gas