Condensate fraction of asymmetric three-component Fermi gas

doi:10.1088/1674-1056/23/2/020308

中国物理B ›› 2014, Vol. 23 ›› Issue (2): 20308-020308.doi: 10.1088/1674-1056/23/2/020308

Condensate fraction of asymmetric three-component Fermi gas

杜佳佳^a, 梁军军^b, 梁九卿^a

a Institute of Theoretical Physics, Shanxi University, Taiyuan 030006, China;
b Department of Physics, Shanxi University, Taiyuan 030006, China

收稿日期:2013-03-06 修回日期:2013-07-16 出版日期:2013-12-12 发布日期:2013-12-12
基金资助:
Project supported by the Graduate Outstanding Innovation Item of Shanxi Province, China (Grant No. 20123005) and the National Natural Science Foundation of China (Grant Nos. 11075099 and 11275118).

Condensate fraction of asymmetric three-component Fermi gas

Du Jia-Jia (杜佳佳)^a, Liang Jun-Jun (梁军军)^b, Liang Jiu-Qing (梁九卿)^a

a Institute of Theoretical Physics, Shanxi University, Taiyuan 030006, China;
b Department of Physics, Shanxi University, Taiyuan 030006, China

Received:2013-03-06 Revised:2013-07-16 Online:2013-12-12 Published:2013-12-12
Contact: Liang Jiu-Qing E-mail:jqliang@sxu.edu.cn
About author:03.75.Hh; 03.75.Ss; 05.30.Fk; 74.20.Fg
Supported by:
Project supported by the Graduate Outstanding Innovation Item of Shanxi Province, China (Grant No. 20123005) and the National Natural Science Foundation of China (Grant Nos. 11075099 and 11275118).

摘要/Abstract

摘要： In this paper, we investigate the condensate fraction (CF) of fermionic pairs in the BCS–BEC crossover for three-component Fermi gas with both asymmetric interactions and unequal chemical potentials in two-dimensional free space. By using the functional-path-integral method, we have analytically derived the number densities and bound-state energy, from which the off-diagonal long-range order is analyzed in terms of the asymptotic behavior of the two-body density matrix. The explicit formula of CF is obtained as a function of the bound-state energy and population imbalance. It is demonstrated that the CF spectrum with respect to the bound-state energy can be used to characterize the quantum phase transition between the two kinds of Sarma phases as well as the transition from three-component to two-component superfluid. Moreover we obtain the same analytic formula of CF in the BCS superfluid phase as that of homogeneous Fermi gas with equal chemical potentials.

关键词: condensate fraction, BCS–, BEC crossover, Sarma phases

Abstract: In this paper, we investigate the condensate fraction (CF) of fermionic pairs in the BCS–BEC crossover for three-component Fermi gas with both asymmetric interactions and unequal chemical potentials in two-dimensional free space. By using the functional-path-integral method, we have analytically derived the number densities and bound-state energy, from which the off-diagonal long-range order is analyzed in terms of the asymptotic behavior of the two-body density matrix. The explicit formula of CF is obtained as a function of the bound-state energy and population imbalance. It is demonstrated that the CF spectrum with respect to the bound-state energy can be used to characterize the quantum phase transition between the two kinds of Sarma phases as well as the transition from three-component to two-component superfluid. Moreover we obtain the same analytic formula of CF in the BCS superfluid phase as that of homogeneous Fermi gas with equal chemical potentials.

Key words: condensate fraction, BCS–BEC crossover, Sarma phases

中图分类号: (Static properties of condensates; thermodynamical, statistical, and structural properties)

03.75.Hh

03.75.Ss (Degenerate Fermi gases) 05.30.Fk (Fermion systems and electron gas) 74.20.Fg (BCS theory and its development)

杜佳佳, 梁军军, 梁九卿. Condensate fraction of asymmetric three-component Fermi gas[J]. 中国物理B, 2014, 23(2): 20308-020308.

Du Jia-Jia (杜佳佳), Liang Jun-Jun (梁军军), Liang Jiu-Qing (梁九卿). Condensate fraction of asymmetric three-component Fermi gas[J]. Chin. Phys. B, 2014, 23(2): 20308-020308.

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Condensate fraction of asymmetric three-component Fermi gas

Condensate fraction of asymmetric three-component Fermi gas

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