When are two fermions a simple boson? New Gross-Pitaevskii actions for cold Fermi condensates

被引:0
作者
Rivers, Ray J. [1 ]
Steer, D. A. [2 ]
Lin, Chi-Yong [3 ]
Lee, Da-Shin [3 ]
Weir, D. J. [4 ,5 ]
机构
[1] Imperial Coll, Blackett Lab, London SW7 2BZ, England
[2] Univ Denis Diderot Paris 7, CEA, Observ Paris, AstroParticule & Cosmol,UMR 7164,CNRS, 10 Rue Alice Domon & Leonie Duquet, F-75205 Paris 13, France
[3] Natl Dong Hwa Univ, Dept Phys, Hualien 974, Taiwan
[4] Univ Helsinki, Dept Phys, PL 64, FI-00014 Helsinki, Finland
[5] Univ Helsinki, Helsinki Inst Phys, PL 64, FI-00014 Helsinki, Finland
关键词
Fermi condensate; Feshbach resonance; Gross-Pitaevskii equation; Galilean invariance; Bogoliubov approximation; Vortex solution; SUPERFLUIDITY; BCS;
D O I
10.1016/j.aop.2018.07.027
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The BEC regime of a cold fermi gas is characterised by coupled atoms (dimers) which, superficially, look like elementary bosons. We examine how simply-bosonic they really are; firstly, in the Bogoliubov approximation and further, through new actions for the BEC regime in which dimers are represented by coupled Gross-Pitaevskii fields. We find identity at the level of the Bogoliubov approximation in the deep BEC regime, permitting a simple Gross-Pitaevskii description. This fails rapidly as we move towards the BCS regime. However, even in the deep BEC regime there is an intrinsic difference if we go beyond the Bogoliubov approximation. To exemplify this we construct vortex solutions. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码:495 / 516
页数:22
相关论文
共 41 条
[1]   EFFECTIVE LAGRANGIANS FOR BCS SUPERCONDUCTORS AT T=O [J].
AITCHISON, IJR ;
AO, P ;
THOULESS, DJ ;
ZHU, XM .
PHYSICAL REVIEW B, 1995, 51 (10) :6531-6535
[2]  
[Anonymous], 1989, GAUGE FIELDS CONDENS
[3]   Chiral Bogoliubov excitations in nonlinear bosonic systems [J].
Bardyn, Charles-Edouard ;
Karzig, Torsten ;
Refael, Gil ;
Liew, Timothy C. H. .
PHYSICAL REVIEW B, 2016, 93 (02)
[4]   Crossover from a molecular Bose-Einstein condensate to a degenerate Fermi gas [J].
Bartenstein, M ;
Altmeyer, A ;
Riedl, S ;
Jochim, S ;
Chin, C ;
Denschlag, JH ;
Grimm, R .
PHYSICAL REVIEW LETTERS, 2004, 92 (12) :120401-1
[5]   Vortex state in a strongly coupled dilute atomic fermionic superfluid [J].
Bulgac, A ;
Yu, YL .
PHYSICAL REVIEW LETTERS, 2003, 91 (19)
[6]   Ground-state description of a single vortex in an atomic Fermi gas: From BCS to Bose-Einstein condensation [J].
Chien, CC ;
He, Y ;
Chen, QJ ;
Levin, K .
PHYSICAL REVIEW A, 2006, 73 (04)
[7]   CROSSOVER FROM BCS TO BOSE SUPERCONDUCTIVITY - TRANSITION-TEMPERATURE AND TIME-DEPENDENT GINZBURG-LANDAU THEORY [J].
DEMELO, CARS ;
RANDERIA, M ;
ENGELBRECHT, JR .
PHYSICAL REVIEW LETTERS, 1993, 71 (19) :3202-3205
[8]  
Evans T. S., 1966, THERMAL FIELD THEORI, P283
[9]  
Fetter AL., 1971, Quantum Theory of Many Particle Systems
[10]  
Fubini S., 1993, Z PHYS C, V18, P349