Many-body t-matrix theory eliminated the infrared divergence on the Bose-Einstein-condensed systems

被引:0
作者
Ri, Won -Sus [1 ]
Kim, Ha [1 ]
Kim, Gwang-Jin [1 ]
Ri, Su-Bok [1 ]
Kim, Jong -Yon [1 ]
机构
[1] Univ Sci, Dept Phys, Pyongyang 950003, North Korea
关键词
T-matrix; Infrared divergence; Self-energy; Bose-einstein-condensation; Isothermal compressibility;
D O I
10.1016/j.physleta.2024.129415
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We have proved in the many-body t-matrix approximation for the weakly interacting Bose gas the infrared divergences are exactly removed. We also show that this t-matrix becomes very temperature-dependent and, as the temperature approaches to T-c it vanishes at the transition point. This leads to a smooth change of condensate density and compressibility at T-c, implying the second order phase transition occurs at T-c.
引用
收藏
页数:6
相关论文
共 11 条
[1]   Theory of the weakly interacting Bose gas [J].
Andersen, JO .
REVIEWS OF MODERN PHYSICS, 2004, 76 (02) :599-639
[2]   Variational approach to the dilute Bose gas [J].
Bijlsma, M ;
Stoof, HTC .
PHYSICAL REVIEW A, 1997, 55 (01) :498-512
[3]  
Bogoliubov N., 1947, J PHYS-USSR, V11, P23
[4]   The Beliaev technique for a weakly interacting Bose gas [J].
Capogrosso-Sansone, B. ;
Giorgini, S. ;
Pilati, S. ;
Pollet, L. ;
Prokof'ev, N. ;
Svistunov, B. ;
Troyer, M. .
NEW JOURNAL OF PHYSICS, 2010, 12
[5]  
Einstein A, 1925, SITZBER PREUSS AKAD, P3
[6]   Bose-Einstein-condensed systems of hard spheres at high density [J].
Kim, Ha ;
Kim, Cheng-Song ;
Huang, Chang-Lyol ;
Song, He-Shan ;
Yi, Xue-Xi .
PHYSICAL REVIEW A, 2012, 85 (05)
[7]   Removal of infrared divergences in the Beliaev-Dyson equation for Bose-Einstein-condensed systems [J].
Pak, Sung-Gyu ;
Kim, Ha ;
Ri, Su-bok .
PHYSICS LETTERS A, 2021, 390
[8]  
POPOV VN, 1965, SOV PHYS JETP-USSR, V20, P1185
[9]  
Shi H, 1998, PHYS REP, V304, P2
[10]   Thermodynamics of a dilute Bose gas: A path-integral Monte Carlo study [J].
Spada, G. ;
Pilati, S. ;
Giorgini, S. .
PHYSICAL REVIEW A, 2022, 105 (01)