Fourth Statistical Ensemble for the Bose-Einstein Condensate
- 8 September 1997
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 79 (10) , 1789-1792
- https://doi.org/10.1103/physrevlett.79.1789
Abstract
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.Keywords
This publication has 11 references indexed in Scilit:
- Trapped Bose gas: The canonical versus grand canonical statisticsPhysical Review A, 1997
- Condensate fluctuations of a trapped, ideal Bose gasPhysical Review A, 1996
- Microcanonical fluctuations of a Bose system’s ground state occupation numberPhysical Review E, 1996
- Bose-Einstein Condensation in a Tightly Confining dc Magnetic TrapPhysical Review Letters, 1996
- Bose-Einstein Condensation in a Gas of Sodium AtomsPhysical Review Letters, 1995
- λ-Transition to the Bose-Einstein CondensateZeitschrift für Naturforschung A, 1995
- Evidence of Bose-Einstein Condensation in an Atomic Gas with Attractive InteractionsPhysical Review Letters, 1995
- Observation of Bose-Einstein Condensation in a Dilute Atomic VaporScience, 1995
- Fluctuations in the population of the ground state of Bose SystemsJournal of Statistical Physics, 1970
- On the Bose-Einstein condensationProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1950