---
res:
bibo_abstract:
- We consider an ultracold rotating Bose gas in a harmonic trap close to the critical
angular velocity, so that the system can be considered to be confined to the lowest
Landau level. With this assumption we prove that the Gross-Pitaevskii energy functional
accurately describes the ground-state energy of the corresponding N -body Hamiltonian
with contact interaction provided the total angular momentum L is much less than
N2. While the Gross-Pitaevskii energy is always an obvious variational upper bound
to the ground-state energy, a more refined analysis is needed to establish it
as an exact lower bound. We also discuss the question of Bose-Einstein condensation
in the parameter range considered. Coherent states together with inequalities
in spaces of analytic functions are the main technical tools.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: Élliott
foaf_name: Lieb, Élliott H
foaf_surname: Lieb
- foaf_Person:
foaf_givenName: Robert
foaf_name: Robert Seiringer
foaf_surname: Seiringer
foaf_workInfoHomepage: http://www.librecat.org/personId=4AFD0470-F248-11E8-B48F-1D18A9856A87
- foaf_Person:
foaf_givenName: Jakob
foaf_name: Yngvason, Jakob
foaf_surname: Yngvason
bibo_doi: 10.1103/PhysRevA.79.063626
bibo_issue: '6'
bibo_volume: 79
dct_date: 2009^xs_gYear
dct_publisher: American Physical Society@
dct_title: 'Yrast line of a rapidly rotating Bose gas: Gross-Pitaevskii regime@'
...