Ooi, Chong Heng Raymond and Svidzinsky, A.A. and Jordan, A.N. (2006) Fluctuation statistics of mesoscopic Bose-Einstein condensates: reconciling the master equation with the partition function to reexamine the Uhlenbeck-Einstein dilemma. Physical Review A, 74 (3). ISSN 1050-2947, DOI https://doi.org/10.1103/PhysRevA.74.032506.
Full text not available from this repository.Abstract
The atom fluctuation statistics of an ideal, mesoscopic, Bose-Einstein condensate are investigated from several different perspectives. By generalizing the grand canonical analysis (applied to the canonical ensemble problem), we obtain a self-consistent equation for the mean condensate particle number that coincides with the microscopic result calculated from the laser master equation approach. For the case of a harmonic trap, we obtain an analytic expression for the condensate particle number that is very accurate at all temperatures, when compared with numerical canonical ensemble results. Applying a similar generalized grand canonical treatment to the variance, we obtain an accurate result only below the critical temperature. Analytic results are found for all higher moments of the fluctuation distribution by employing the stochastic path integral formalism, with excellent accuracy. We further discuss a hybrid treatment, which combines the master equation and stochastic path integral analysis with results obtained based on the canonical ensemble quasiparticle formalism [Kocharovsky , Phys. Rev. A 61, 053606 (2000)], producing essentially perfect agreement with numerical simulation at all temperatures.
| Item Type: | Article |
|---|---|
| Funders: | UNSPECIFIED |
| Additional Information: | Department of Physics, Faculty of Science Building, University of Malaya, 50603 Kuala Lumpur, MALAYSIA |
| Uncontrolled Keywords: | Phase-transition analogy; Quantum-theory; Ideal; Gas; Particles; Number; Traps |
| Subjects: | Q Science > QC Physics |
| Divisions: | Faculty of Science > Department of Physics |
| Depositing User: | Miss Malisa Diana |
| Date Deposited: | 08 Jul 2013 08:34 |
| Last Modified: | 09 Oct 2019 00:48 |
| URI: | http://eprints.um.edu.my/id/eprint/7933 |
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