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Vortex patterns and sheets in segregated two component Bose-Einstein condensates

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 نشر من قبل Etienne Sandier
 تاريخ النشر 2019
  مجال البحث
والبحث باللغة English
 تأليف Amandine Aftalion




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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 $epsilon$ 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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