Universal properties of Fermi gases in one dimension
He, Wen-Bin1,2; Chen, Yang-Yang1,2; Zhang, Shizhong3,4; Guan, Xi-Wen1,5,6
刊名PHYSICAL REVIEW A
2016-09-21
卷号94期号:3
英文摘要In this Rapid Communication, we investigate the universal properties of a spin-polarized two-component Fermi gas in one dimension (1D) using the Bethe ansatz. We discuss the quantum phases and phase transitions by obtaining exact results for the equation of state, the contact, the magnetic susceptibility, and the contact susceptibility, giving a precise understanding of the 1D analog of the Bose-Einstein condensation and Bardeen-Cooper-Schrieffer crossover in three dimensions (3D) and the associated universal magnetic properties. In particular, we obtain the exact form of the magnetic susceptibility chi similar to 1/root T exp(-Delta/T) at low temperatures, where Delta is the energy gap and T is the temperature. Moreover, we establish exact upper and lower bounds for the relation between polarization P and the contact C for both repulsive and attractive Fermi gases. Our findings emphasize the role of pair fluctuations in strongly interacting 1D fermion systems that can shed light on higher dimensions.
WOS标题词Science & Technology ; Physical Sciences
类目[WOS]Optics ; Physics, Atomic, Molecular & Chemical
研究领域[WOS]Optics ; Physics
关键词[WOS]DELTA-FUNCTION INTERACTION ; MANY-BODY PROBLEM ; SPIN ; THERMODYNAMICS ; BOSONS ; SYSTEM ; STATE ; TRANSITION ; POLARONS ; LADDERS
收录类别SCI
语种英语
WOS记录号WOS:000383856900001
内容类型期刊论文
源URL[http://ir.wipm.ac.cn/handle/112942/9563]  
专题武汉物理与数学研究所_理论与交叉研究部
作者单位1.Chinese Acad Sci, Wuhan Inst Phys & Math, State Key Lab Magnet Resonance & Atom & Mol Phys, Wuhan 430071, Peoples R China
2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
3.Univ Hong Kong, Dept Phys, Hong Kong, Hong Kong, Peoples R China
4.Univ Hong Kong, Ctr Theoret & Computat Phys, Hong Kong, Hong Kong, Peoples R China
5.Chinese Acad Sci, Ctr Cold Atom Phys, Wuhan 430071, Peoples R China
6.Australian Natl Univ, Res Sch Phys & Engn, Dept Theoret Phys, Canberra, ACT 0200, Australia
推荐引用方式
GB/T 7714
He, Wen-Bin,Chen, Yang-Yang,Zhang, Shizhong,et al. Universal properties of Fermi gases in one dimension[J]. PHYSICAL REVIEW A,2016,94(3).
APA He, Wen-Bin,Chen, Yang-Yang,Zhang, Shizhong,&Guan, Xi-Wen.(2016).Universal properties of Fermi gases in one dimension.PHYSICAL REVIEW A,94(3).
MLA He, Wen-Bin,et al."Universal properties of Fermi gases in one dimension".PHYSICAL REVIEW A 94.3(2016).
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