On the stability of 2D dipolar Bose-Einstein condensates - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2018

On the stability of 2D dipolar Bose-Einstein condensates

Résumé

We study the existence of energy minimizers for a Bose-Einstein condensate with dipole-dipole interactions, tightly confined to a plane. The problem is critical in that the kinetic energy and the (partially attractive) interaction energy behave the same under mass-preserving scalings of the wave-function. We obtain a sharp criterion for the existence of ground states, involving the optimal constant of a certain generalized Gagliardo-Nirenberg inequality.
Fichier principal
Vignette du fichier
GP-Dipoles_v5-Sept18.pdf (214.79 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01875565 , version 1 (17-09-2018)
hal-01875565 , version 2 (25-09-2018)
hal-01875565 , version 3 (01-02-2019)

Identifiants

Citer

Arnaud Eychenne, Nicolas Rougerie. On the stability of 2D dipolar Bose-Einstein condensates. 2018. ⟨hal-01875565v2⟩
100 Consultations
139 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More