Mean-field interacting boson random point fields in weak harmonic traps - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Mathematical Physics Année : 2009

Mean-field interacting boson random point fields in weak harmonic traps

Résumé

A model of the mean-field interacting boson gas trapped by a weak harmonic potential is considered by the \textit{boson random point fields} methods. We prove that in the Weak Harmonic Trap (WHT) limit there are two phases distinguished by the boson condensation and by a different behaviour of the local particle density. For chemical potentials less than a certain critical value, the resulting Random Point Field (RPF) coincides with the usual boson RPF, which corresponds to a non-interacting (ideal) boson gas. For the chemical potentials greater than the critical value, the boson RPF describes a divergent (local) density, which is due to \textit{localization} of the macroscopic number of condensed particles. Notice that it is this kind of transition that observed in experiments producing the Bose-Einstein Condensation in traps.
Fichier principal
Vignette du fichier
MF-July16-08.pdf (346.35 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00304344 , version 1 (22-07-2008)

Identifiants

Citer

Hiroshi Tamura, Valentin A. Zagrebnov. Mean-field interacting boson random point fields in weak harmonic traps. Journal of Mathematical Physics, 2009, 50 (2), ⟨10.1063/1.3072911⟩. ⟨hal-00304344⟩
155 Consultations
85 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More