Existence of Long-Range Order for Trapped Interacting Bosons
- 31 December 2002
- journal article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 89 (28), 280402
- https://doi.org/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.Other Versions
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