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.
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https://hal.archives-ouvertes.fr/hal-01990225
Contributor : Amandine Aftalion <>
Submitted on : Tuesday, January 22, 2019 - 9:54:55 PM
Last modification on : Friday, January 25, 2019 - 12:12:53 PM
Document(s) archivé(s) le : Tuesday, April 23, 2019 - 4:47:02 PM

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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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