Rapidly rotating Bose-Einstein condensates in homogeneous traps

Autor(en)

Michele Correggi, Tanja Rindler-Daller, Jakob Yngvason

Abstrakt

We extend the results of a previous paper on the Gross-Pitaevskii description of rotating Bose-Einstein condensates in two-dimensional traps to confining potentials of the form V(r )=rs, 2<s<∞. Writing the coupling constant as 1/ɛ2, we study the limit ɛ →0. We derive rigorously the leading asymptotics of the ground state energy and the density profile when the rotation velocity Ω tends to infinity as a power of 1/ɛ. The case of asymptotically homogeneous potentials is also discussed.

Organisation(en)

Mathematische Physik

Externe Organisation(en)

Scuola Normale Superiore di Pisa

Journal

Journal of Mathematical Physics

Band

48

Anzahl der Seiten

17

ISSN

0022-2488

DOI

https://doi.org/10.1063/1.2789557

Publikationsdatum

2007

Peer-reviewed

Ja

ÖFOS 2012

103019 Mathematische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/214838ab-8961-4504-8a53-dd9b098994d4