Phase segregation for binary mixtures of Bose-Einstein Condensates - Université Denis Diderot - Paris VII Accéder directement au contenu
Article Dans Une Revue SIAM Journal on Mathematical Analysis Année : 2017

Phase segregation for binary mixtures of Bose-Einstein Condensates

Résumé

We study the strong segregation limit for mixtures of Bose-Einstein condensates modelled by a Gross-Pitaievskii functional. Our first main result is that in presence of a trapping potential, for different intracomponent strengths, the Thomas-Fermi limit is sufficient to determine the shape of the minimizers. Our second main result is that for asymptotically equal intracomponent strengths, one needs to go to the next order. The relevant limit is a weighted isoperimetric problem. We then study the minimizers of this limit problem, proving radial symmetry or symmetry breaking for different values of the parameters. We finally show that in the absence of a confining potential, even for non-equal intracomponent strengths, one needs to study a related isoperimetric problem to gain information about the shape of the minimizers.
Fichier principal
Vignette du fichier
GolMerBECrevised.pdf (300.47 Ko) Télécharger le fichier
Fig/Ijk-eps-converted-to.pdf (7.77 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-01155676 , version 1 (27-05-2015)
hal-01155676 , version 2 (15-12-2015)
hal-01155676 , version 3 (30-11-2016)

Identifiants

Citer

Michael Goldman, Benoît Merlet. Phase segregation for binary mixtures of Bose-Einstein Condensates. SIAM Journal on Mathematical Analysis, 2017, 49 (3), pp.1947-1981. ⟨10.1137/15M1051105⟩. ⟨hal-01155676v3⟩
814 Consultations
165 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More