Ground state asymptotics of a dilute, rotating gas Journal Article


Author(s): Seiringer, Robert
Article Title: Ground state asymptotics of a dilute, rotating gas
Affiliation
Abstract: We investigate the ground state properties of a gas of interacting particles confined in an external potential in three dimensions and subject to rotation around an axis of symmetry. We consider the Gross-Pitaevskii (GP) limit of a dilute gas. Analysing both the absolute and the bosonic ground states of the system, we show, in particular, their different behaviour for a certain range of parameters. This parameter range is determined by the question whether the rotational symmetry in the minimizer of the GP functional is broken or not. For the absolute ground state, we prove that in the GP limit a modified GP functional depending on density matrices correctly describes the energy and reduced density matrices, independent of symmetry breaking. For the bosonic ground state this holds true if and only if the symmetry is unbroken.
Journal Title: Journal of Physics A: Mathematical and Theoretical
Volume: 36
Issue 37
ISSN: 1751-8121
Publisher: IOP Publishing Ltd.  
Date Published: 2003-09-19
Start Page: 9755
End Page: 9778
URL:
DOI: 10.1088/0305-4470/36/37/312
Open access: yes (repository)