Proof of Bose-Einstein condensation for dilute trapped gases

被引:239
|
作者
Lieb, EH [1 ]
Seiringer, R [1 ]
机构
[1] Princeton Univ, Dept Phys, Princeton, NJ 08544 USA
关键词
D O I
10.1103/PhysRevLett.88.170409
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The ground state of bosonic atoms in a trap has been shown experimentally to display Bose-Einstein condensation (BEC). We prove this fact theoretically for bosons with two-body repulsive interaction potentials in the dilute limit, starting from the basic Schrodinger equation; the condensation is 100% into the state that minimizes the Gross-Pitaevskii energy functional. This is the first rigorous proof of BEC in a physically realistic, continuum model.
引用
收藏
页码:4 / 170409
页数:4
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