Condensate fluctuations in the dilute Bose gas
| dc.creator | Cherny, Alexander Yu. | |
| dc.date | 2002-12-10 | |
| dc.date | 2005-04-12 | |
| dc.date.accessioned | 2026-07-07T02:48:38Z | |
| dc.date.available | 2026-07-07T02:48:38Z | |
| dc.description | The fluctuations of a number of particles in the Bose-Einstein condensate are studied in the grand canonical ensemble with an effective single-mode Hamiltonian, which is derived from an assumption that the mode corresponding to the Bose-Einstein condensate does not asymptotically correlate with other modes. The fluctuations are evaluated in the dilute limit with a proposed simple method, which is beyond the mean-field approximation. The accuracy of the latter is estimated; it is shown that the mean-field scheme does not work for the single-mode Hamiltonian, while for the Hartree Hamiltonian it allows us to estimate the condensate fluctuations up to a numerical factor. As a hypothesis, a formula is proposed that relates the fluctuations in the canonical ensemble with that of the grand canonical one. | |
| dc.description | 8 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0212221 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0212221 | |
| dc.identifier | Phys. Rev. A 71, 043605 (2005) | |
| dc.identifier | doi:10.1103/PhysRevA.71.043605 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/20485 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Condensate fluctuations in the dilute Bose gas | |
| dc.type | text |