Proof of Bose-Einstein condensation for dilute trapped gases

被引:255
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
相关论文
共 12 条
[1]   The kinetic and interaction energies of a trapped Bose gas: beyond the mean field [J].
Cherny, AY ;
Shanenko, AA .
PHYSICS LETTERS A, 2002, 293 (5-6) :287-292
[2]   Dilute Bose gas in two dimensions: Density expansions and the Gross-Pitaevskii equation [J].
Cherny, AY ;
Shanenko, AA .
PHYSICAL REVIEW E, 2001, 64 (02) :4-271054
[3]  
Lieb E. H., 2001, ANALYSIS-UK, V14
[4]   Ground state energy of the low density Bose gas [J].
Lieb, EH ;
Yngvason, J .
PHYSICAL REVIEW LETTERS, 1998, 80 (12) :2504-2507
[5]   The ground state energy of a dilute two-dimensional Bose gas [J].
Lieb, EH ;
Yngvason, J .
JOURNAL OF STATISTICAL PHYSICS, 2001, 103 (3-4) :509-526
[6]   A rigorous derivation of the Gross-Pitaevskii energy functional for a two-dimensional bose gas [J].
Lieb, EH ;
Seiringer, R ;
Yngvason, J .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2001, 224 (01) :17-31
[7]   EXACT ANALYSIS OF AN INTERACTING BOSE GAS .1. GENERAL SOLUTION AND GROUND STATE [J].
LIEB, EH ;
LINIGER, W .
PHYSICAL REVIEW, 1963, 130 (04) :1605-+
[8]   Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional [J].
Lieb, EH ;
Seiringer, R ;
Yngvason, J .
PHYSICAL REVIEW A, 2000, 61 (04) :13-436021
[9]  
LIEB EH, 2000, DIFF EQUAT, P295
[10]   UNCERTAINTY PRINCIPLE, QUANTUM FLUCTUATIONS, AND BROKEN SYMMETRIES [J].
PITAEVSKII, L ;
STRINGARI, S .
JOURNAL OF LOW TEMPERATURE PHYSICS, 1991, 85 (5-6) :377-388