Bose-Einstein condensates in symmetry breaking states
| dc.creator | Castin, Yvan | |
| dc.creator | Herzog, Christopher | |
| dc.date | 2000-12-04 | |
| dc.date | 2004-07-19 | |
| dc.date.accessioned | 2026-07-07T02:39:39Z | |
| dc.date.available | 2026-07-07T02:39:39Z | |
| dc.description | We consider two models of interacting Bose gases: a gas of spin one particles in the ground state of a cubic box and a one-dimension Bose gas with contact interactions. We show how to calculate exact eigenstates of the corresponding N-body Hamiltonians. Both models share the property of not leading to the formation of a Bose-Einstein condensate, even at zero temperature, in the strict sense of the existence of a single one-particle state with a macroscopic population. We show that a lot of physical insight can be gained on these two model systems by using the usual Hartree-Fock mean field approach: in this approximation, that we test against the exact result, everything happens as if a single realization of the system was a Bose-Einstein condensate in a state phi breaking the rotational or translational symmetry, and varying in a random way for any new experimental realization. | |
| dc.description | 24 pages, 2 figures, Lecture Notes of the Cargese School on Bose-Einstein condensates (July 2000); typos in Eqs.(72),(121) corrected | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0012040 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0012040 | |
| dc.identifier | Comptes Rendus de l'Academie des Sciences de Paris, tome 2, serie IV, p.419-443 (2001) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/17096 | |
| dc.subject | Soft Condensed Matter | |
| dc.title | Bose-Einstein condensates in symmetry breaking states | |
| dc.type | text |