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

Abstract : 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.
Type de document :
Pré-publication, Document de travail
2019
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https://hal.archives-ouvertes.fr/hal-01990225
Contributeur : Amandine Aftalion <>
Soumis le : mardi 22 janvier 2019 - 21:54:55
Dernière modification le : vendredi 25 janvier 2019 - 12:12:53

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  • HAL Id : hal-01990225, version 1
  • ARXIV : 1901.08307

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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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