Existence of Long-Range Order for Trapped Interacting Bosons
arXiv:cond-mat/0204439 · doi:10.1103/PhysRevLett.89.280402
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.
arXiv comment4 pages, 1 figure, RevTex4. Title changed at the request of editors; to appear in Phys. Rev. Letters
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