The TF Limit for Rapidly Rotating Bose Gases in Anharmonic Traps

Autor(en)

Jean-Bernard Bru, M Correggi, Peter Pickl, Jakob Yngvason

Abstrakt

Starting from the full many body Hamiltonian we derive the leading order energy and density asymptotics for the ground state of a dilute, rotating Bose gas in an anharmonic trap in the 'Thomas Fermi' (TF) limit when the Gross-Pitaevskii coupling parameter and/or the rotation velocity tend to infinity. Although the many-body wave function is expected to have a complicated phase, the leading order contribution to the energy can be computed by minimizing a simple functional of the density alone.

Organisation(en)

Mathematische Physik, Forschungsplattform Internationales Erwin Schrödinger Institut für Mathematik und Physik

Externe Organisation(en)

Scuola Normale Superiore di Pisa

Journal

Communications in Mathematical Physics

Band

280

Seiten

517-544

Anzahl der Seiten

27

ISSN

0010-3616

Publikationsdatum

2008

Peer-reviewed

Ja

ÖFOS 2012

103019 Mathematische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/33683aca-5111-4122-92fc-5bb968de9253