Bose-Einstein transition in a dilute interacting gas

被引:79
作者
Baym, G
Blaizot, JP
Holzmann, M
Laloë, F
Vautherin, D
机构
[1] Univ Illinois, Urbana, IL 61801 USA
[2] CEA Saclay, Serv Phys Theor, F-91191 Gif Sur Yvette, France
[3] Ecole Normale Super, LKB, F-75005 Paris, France
[4] Ecole Normale Super, LPS, F-75005 Paris, France
[5] Univ Paris 06, LPNHE, F-75005 Paris, France
[6] Univ Paris 07, LPNHE, F-75005 Paris, France
关键词
D O I
10.1007/s100510170028
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
We study the effects of repulsive interactions oil the critical density for the Bose-Einstein transition in a homogeneous dilute gas of bosons. First, we point out that the simple mean field approximation produces no change in the critical density, or critical temperature, and discuss the inadequacies of various contradictory results in the literature. Then, both within the frameworks of Ursell operators and of Green's functions, we derive self-consistent equations that include correlations in the system and predict the change of the critical density. We argue that the dominant contribution to this change can be obtained within classical field theory and show that the lowest order correction introduced by interactions is linear in the scattering length, a, with a positive coefficient. Finally, we calculate this coefficient within various approximations, and compare with various recent numerical estimates.
引用
收藏
页码:107 / 124
页数:18
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