VORTEX PATTERNS AND SHEETS IN SEGREGATED TWO COMPONENT BOSE-EINSTEIN CONDENSATES - Laboratoire d'Analyse et de Mathématiques Appliquées Accéder directement au contenu
Pré-Publication, Document De Travail Calculus of Variations and Partial Differential Equations Année : 2020

VORTEX PATTERNS AND SHEETS IN SEGREGATED TWO COMPONENT BOSE-EINSTEIN CONDENSATES

Résumé

We study minimizers of a Gross-Pitaevskii energy describing a two-component Bose-Einstein condensate set into rotation. We consider the case of segregation of the components in the Thomas-Fermi regime, where a small parameter ε conveys a singular perturbation. We estimate the energy as a term due to a perimeter minimization and a term due to rotation. In particular, we prove a new estimate concerning the error of a Modica Mortola type energy away from the interface. For large rotations, we show that the interface between the components gets long, which is a first indication towards vortex sheets.
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Dates et versions

hal-01990225 , version 1 (22-01-2019)

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Amandine Aftalion, Etienne Sandier. VORTEX PATTERNS AND SHEETS IN SEGREGATED TWO COMPONENT BOSE-EINSTEIN CONDENSATES. 2019. ⟨hal-01990225⟩
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