Existence of long-range order for trapped interacting bosons

被引：26

作者：

Fischer, UR ^{[1
]}

机构：

[1] Univ Illinois, Dept Phys, Urbana, IL 61801 USA

来源：

PHYSICAL REVIEW LETTERS | 2002年 / 89卷 / 28期

关键词：

D O I：

10.1103/PhysRevLett.89.280402

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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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