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Phys. Rev. Lett. 79, 1789–1792 (1997)

Fourth Statistical Ensemble for the Bose-Einstein Condensate

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Patrick Navez1, Dmitri Bitouk2, Mariusz Gajda3,4, Zbigniew Idziaszek4, and Kazimierz Rza̧żewski4,5
1Département de Physique, Université Catholique de Louvain, Chemin du Cyclotron, 2, B-1348 Louvain-la-Neuve, Belgium
2Department of Physics, Moscow State University, 117237 Moscow, Russia
3Institute of Physics, Polish Academy of Sciences, 02-668 Warsaw, Poland
4College of Science, 02-668 Warsaw, Poland
5Center for Theoretical Physics, Polish Academy of Sciences, Aleja Lotników 32/46, 02-668 Warsaw, Poland

Received 3 June 1997; published in the issue dated 8 September 1997

We study the Bose-Einstein condensate (BEC) with a fixed number of particles. On the basis of conventional statistical mechanics we introduce the, so called, Maxwell's demon ensemble, where only particle transfer (without energy exchange) is allowed. We show that this new ensemble can be used for the microcanonical description of the system. We apply our formalism to the case of BEC in a harmonic trap and give the analytic expressions for the ground state fluctuations. We compare these expressions with the exact numerical results obtained for relatively small condensates.

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.79.1789
DOI:
10.1103/PhysRevLett.79.1789
PACS:
03.75.Fi, 05.30.Jp, 32.80.Pj