Existence of Long-Range Order for Trapped Interacting Bosons

Details Existence of Long-Range Order for Trapped Interacting Bosons Existence of Long-Range Order for Trapped Interacting Bosons

2002-04-20

arxiv.org/abs/cond-mat/0204439v2

Phys. Rev. Lett. 89, 280402 (2002)

Physics

Condensed Matter

4 pages, 1 figure, RevTex4. Title changed at the request of editors; to appear in Phys. Rev. Letters

Scientific paper

10.1103/PhysRevLett.89.280402

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.

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