Can I read Vortex patterns and sheets in segregated two component Bose-Einstein condensates on EtoBox?

Vortex patterns and sheets in segregated two component Bose-Einstein condensates by Aftalion, Amandine; Sandier, Etienne is a scholarly article available to read on EtoBox.

What is Vortex patterns and sheets in segregated two component Bose-Einstein condensates about?

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.

Author

Aftalion, Amandine; Sandier, Etienne

Published

2019

Language

EN