Statistical Physics of Bose--Einstein Condensation
M. Gajdaa and K. Rzążewskib
aInstitute of Physics, Polish Academy of Sciences, al. Lotników 32/46, 02-668 Warsaw, Poland
bCenter for Theoretical Physics, Polish Academy of Sciences al. Lotników 32/46, 02-668 Warsaw, Poland
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Received: November 15, 2001
We review a progress in understanding of statistical properties of a quantum degenerate Bose gas. We show how the Maxwell demon ensemble helps to compute fluctuations of the Bose--Einstein condensate of an ideal Bose gas according to the microcanonical ensemble. Then, we review a method of measuring these fluctuations. Using a soluble model of interacting Bose gas we also stress the importance of higher-order correlation functions. Finally, we review our novel computational method of studying an interacting Bose gas near its critical temperature.
DOI: 10.12693/APhysPolA.100.7
PACS numbers: 03.75.Fi, 05.30.Jp