Anomalous fluctuations of the condensate in interacting Bose gases

Details Anomalous fluctuations of the condensate in interacting Bose gases Anomalous fluctuations of the condensate in interacting Bose gases

1997-11-07

arxiv.org/abs/cond-mat/9711065v1

Physics

Condensed Matter

4 pages, RevTeX

Scientific paper

10.1103/PhysRevLett.80.5040

We find that the fluctuations of the condensate in a weakly interacting Bose gas confined in a box of volume $V$ follow the law $<\delta N_0^2>\sim V^{4/3}$. This anomalous behaviour arises from the occurrence of infrared divergencies due to phonon excitations and holds also for strongly correlated Bose superfluids. The analysis is extended to an interacting Bose gas confined in a harmonic trap where the fluctuations are found to exhibit a similar anomaly.

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