Superfluidity in Dilute Trapped Bose Gases
Condensed Matter
2009-11-07 v2 Mathematical Physics
math.MP
Abstract
A commonly used theoretical definition of superfluidity in the ground state of a Bose gas is based on the response of the system to an imposed velocity field or, equivalently, to twisted boundary conditions in a box. We are able to carry out this program in the case of a dilute interacting Bose gas in a trap. We prove that a gas with repulsive interactions is 100% superfluid in the dilute limit in which the Gross-Pitaevskii equation is exact. This is the first example in an experimentally realistic continuum model in which superfluidity is rigorously verified.
Keywords
Cite
@article{arxiv.cond-mat/0205570,
title = {Superfluidity in Dilute Trapped Bose Gases},
author = {Elliott H. Lieb and Robert Seiringer and Jakob Yngvason},
journal= {arXiv preprint arXiv:cond-mat/0205570},
year = {2009}
}
Comments
Revised version; RevTeX4, 6 pages