Landau functions for non-interacting bosons
| dc.creator | Sinner, Andreas | |
| dc.creator | Schuetz, Florian | |
| dc.creator | Kopietz, Peter | |
| dc.date | 2006-05-05 | |
| dc.date | 2006-07-14 | |
| dc.date.accessioned | 2026-07-07T07:08:46Z | |
| dc.date.available | 2026-07-07T07:08:46Z | |
| dc.description | We discuss the statistics of Bose-Einstein condensation (BEC) in a canonical ensemble of N non-interacting bosons in terms of a Landau function L_N^{BEC} (q) defined by the logarithm of the probability distribution of the order parameter q for BEC. We also discuss the corresponding Landau function for spontaneous symmetry breaking (SSB), which for finite N should be distinguished from L_N^{BEC}. Only for intinite N BEC and SSB can be described by the same Landau function which depends on the dimensionality and on the form of the external potential in a surprisingly complex manner. For bosons confined by a three-dimensional harmonic trap the Landau function exhibits the usual behavior expected for continuous phase transitions. | |
| dc.description | 4 pages, 4 figures; final version to appear as a rapid communication in Physical Review A. Abstract modified and typos corrected | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0605138 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0605138 | |
| dc.identifier | Phys. Rev. A 74, 023608 (2006). | |
| dc.identifier | doi:10.1103/PhysRevA.74.023608 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110829 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Landau functions for non-interacting bosons | |
| dc.type | text |