Critical Rotational Speeds in the Gross-Pitaevskii Theory on a Disc with Dirichlet Boundary Conditions

Autor(en)

Michele Correggi, Florian Pinsker, Nicolas Rougerie, Jakob Yngvason

Abstrakt

We study the two-dimensional Gross-Pitaevskii theory of a rotating Bose gas in a disc-shaped trap with Dirichlet boundary conditions, generalizing and extending previous results that were obtained under Neumann boundary conditions. The focus is on the energy asymptotics, vorticity and qualitative properties of the minimizers in the parameter range |log epsilon| = Omega(c2) the centrifugal forces create a hole around the center with strongly depleted density. For Omega

Organisation(en)

Mathematische Physik

Externe Organisation(en)

Fondazione Bruno Kessler, University of Cambridge, Centre National de la Recherche Scientifique (CNRS), Strasbourg , Université de Cergy-Pontoise

Journal

Journal of Statistical Physics

Band

143

Seiten

261-305

Anzahl der Seiten

45

ISSN

0022-4715

DOI

https://doi.org/10.1007/s10955-011-0182-2

Publikationsdatum

2011

Peer-reviewed

Ja

ÖFOS 2012

103019 Mathematische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/bff23ddf-2e6e-49b9-b3f0-b263ebabffe7