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

Abstract

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 $<\delta N_0^2>\sim N^{22/15}$ and the fluctuations vanish when temperature approaches to the BEC critical temperature.

RevTex, 4 pages

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Cited by in corpus (5)

• Direct Observation of Sub-Poissonian Number Statistics in a Degenerate Bose Gas
• Bose-Einstein condensate fluctuations versus an interparticle interaction
• On the fluctuations of the number of atoms in the condensate
• Number-of-Particle Fluctuations and Stability of Bose-Condensed Systems
• Condensate fluctuations in the dilute Bose gas