Dimension reduction for anisotropic Bose-Einstein condensates in the strong interaction regime

Weizhu Bao 1, * Loïc Le Treust 2, 3 Florian Méhats 2, 3, *
* Auteur correspondant
2 IPSO - Invariant Preserving SOlvers
IRMAR - Institut de Recherche Mathématique de Rennes, Inria Rennes – Bretagne Atlantique
Abstract : We study the problem of dimension reduction for the three dimensional Gross-Pitaevskii equation (GPE) describing a Bose-Einstein condensate confined in a strongly anisotropic harmonic trap. Since the gas is assumed to be in a strong interaction regime, we have to analyze two combined singular limits: a semi-classical limit in the transport direction and the strong partial confinement limit in the transversal direction. We prove that both limits commute together and we provide convergence rates. The by-products of this work are approximated models in reduced dimension for the GPE, with a priori estimates of the approximation errors.
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-00959084
Contributeur : Florian Méhats <>
Soumis le : jeudi 13 mars 2014 - 18:39:51
Dernière modification le : jeudi 15 novembre 2018 - 11:57:05

Lien texte intégral

Identifiants

Citation

Weizhu Bao, Loïc Le Treust, Florian Méhats. Dimension reduction for anisotropic Bose-Einstein condensates in the strong interaction regime. Nonlinearity, IOP Publishing, 2015, 28 (3), pp.755-772. 〈10.1088/0951-7715/28/3/755〉. 〈hal-00959084〉

Partager

Métriques

Consultations de la notice

686