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Existence of Long-Range Order for Trapped Interacting Bosons

Uwe R. Fischer
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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.

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Uwe R. Fischer. 2002-11-15. Existence of Long-Range Order for Trapped Interacting Bosons. https://doi.org/10.1103/physrevlett.89.280402

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