Existence of Long-Range Order for Trapped Interacting Bosons
Condensed Matter
2007-05-23 v2 Quantum Physics
Abstract
We derive an inequality governing ``long range'' order for a localized Bose-condensed state, relating the condensate fraction at a given temperature with effective curvature radius of the condensate and total particle number. For the specific example of a one-dimensional, harmonically trapped dilute Bose condensate, it is shown that the inequality gives an explicit upper bound for the Thomas-Fermi condensate size which may be tested in current experiments.
Cite
@article{arxiv.cond-mat/0204439,
title = {Existence of Long-Range Order for Trapped Interacting Bosons},
author = {Uwe R. Fischer},
journal= {arXiv preprint arXiv:cond-mat/0204439},
year = {2007}
}
Comments
4 pages, 1 figure, RevTex4. Title changed at the request of editors; to appear in Phys. Rev. Letters