Critical temperature of dilute Bose gases

被引:16
作者
Betz, Volker [1 ]
Ueltschi, Daniel [1 ]
机构
[1] Univ Warwick, Dept Math, Coventry CV4 7AL, W Midlands, England
来源
PHYSICAL REVIEW A | 2010年 / 81卷 / 02期
基金
英国工程与自然科学研究理事会; 美国国家科学基金会;
关键词
TRANSITION-TEMPERATURE; PERCOLATION TRANSITION; EINSTEIN CONDENSATION;
D O I
10.1103/PhysRevA.81.023611
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We compute the critical temperature of Bose-Einstein condensation in dilute three-dimensional homogeneous Bose gases. Our method involves the models of spatial permutations and should be exact to lowest order in the scattering length of the particle interactions. We find that the change in the critical temperature, Delta T-c/T-c((0)), behaves as ca rho(1/3) with c = -2.33. This contradicts the current consensus among physicists.
引用
收藏
页数:8
相关论文
共 27 条
[1]   BEC transition temperature of a dilute homogeneous imperfect bose gas [J].
Arnold, P ;
Moore, G .
PHYSICAL REVIEW LETTERS, 2001, 87 (12) :1-120401
[2]   Bose-Einstein transition in a dilute interacting gas [J].
Baym, G ;
Blaizot, JP ;
Holzmann, M ;
Laloë, F ;
Vautherin, D .
EUROPEAN PHYSICAL JOURNAL B, 2001, 24 (01) :107-124
[3]  
BETZ V, ARXIV08120569
[4]   Spatial Random Permutations and Infinite Cycles [J].
Betz, Volker ;
Ueltschi, Daniel .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2009, 285 (02) :469-501
[5]  
BLAIZOT JP, ARXIV08010009
[6]  
Fetter A. L., 2012, Quantum Theory of ManyParticle Systems
[7]   ATOMIC THEORY OF THE LAMBDA-TRANSITION IN HELIUM [J].
FEYNMAN, RP .
PHYSICAL REVIEW, 1953, 91 (06) :1291-1301
[8]  
GINIBRE J, 1971, MECANIQUE STAT THEOR, P271
[9]   STATISTICAL MECHANICS FOR THE NONIDEAL BOSE GAS [J].
GLASSGOLD, AE ;
KAUFMAN, AN ;
WATSON, KM .
PHYSICAL REVIEW, 1960, 120 (03) :660-674
[10]   Bose-Einstein condensation in interacting gases [J].
Holzmann, M ;
Grüter, P ;
Laloë, F .
EUROPEAN PHYSICAL JOURNAL B, 1999, 10 (04) :739-760