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Universal local pair correlations of Lieb-Liniger bosons at quantum criticality
Wang, M. -S.1,2; Huang, J. -H.1; Lee, C. -H.1; Yin, X. -G.3; Guan, X. -W.4,5; Batchelor, M. T.5,6
2013-04-29
Source PublicationPHYSICAL REVIEW A
Volume87Issue:4
SubtypeArticle
AbstractThe one-dimensional Lieb-LinigerBose gas is a prototypical many-body system featuring universal Tomonaga-Luttinger liquid (TLL) physics and free fermion quantum criticality. We analytically calculate finite temperature local pair correlations for the strong-coupling Bose gas at quantum criticality using the polylog function in the framework of the Yang-Yang thermodynamic equations. We show that the local pair correlation has the universal value g((2))(0) approximate to 2p/(n epsilon) in the quantum critical regime, the TLL phase, and the quasiclassical region, where p is the pressure per unit length rescaled by the interaction energy epsilon = (h) over bar (2)/2m c(2) with interaction strength c and linear density n. This suggests the possibility to test finite temperature local pair correlations for the TLL in the relativistic dispersion regime and to probe quantum criticality with the local correlations beyond the TLL phase. Furthermore, thermodynamic properties at high temperatures are obtained by both high temperature and virial expansion of the Yang-Yang thermodynamic equation.
WOS HeadingsScience & Technology ; Physical Sciences
DOI10.1103/PhysRevA.87.043634
WOS KeywordDELTA-FUNCTION INTERACTION ; TONKS-GIRARDEAU GAS ; FERMI GAS ; ONE-DIMENSION
Indexed BySCI
Language英语
WOS Research AreaOptics ; Physics
WOS SubjectOptics ; Physics, Atomic, Molecular & Chemical
WOS IDWOS:000318502000017
Citation statistics
Cited Times:10[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.apm.ac.cn/handle/112942/813
Collection理论与交叉研究部
Affiliation1.Sun Yat Sen Univ, Sch Phys & Engn, State Key Lab Optoelect Mat & Technol, Guangzhou 510275, Guangdong, Peoples R China
2.Ludong Univ, Dept Phys, Yantai 266000, Peoples R China
3.Nanyang Technol Univ, Div Mat Sci, Singapore 639798, Singapore
4.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China
5.Australian Natl Univ, Dept Theoret Phys, Res Sch Phys & Engn, Canberra, ACT 0200, Australia
6.Australian Natl Univ, Inst Math Sci, Canberra, ACT 0200, Australia
Recommended Citation
GB/T 7714
Wang, M. -S.,Huang, J. -H.,Lee, C. -H.,et al. Universal local pair correlations of Lieb-Liniger bosons at quantum criticality[J]. PHYSICAL REVIEW A,2013,87(4).
APA Wang, M. -S.,Huang, J. -H.,Lee, C. -H.,Yin, X. -G.,Guan, X. -W.,&Batchelor, M. T..(2013).Universal local pair correlations of Lieb-Liniger bosons at quantum criticality.PHYSICAL REVIEW A,87(4).
MLA Wang, M. -S.,et al."Universal local pair correlations of Lieb-Liniger bosons at quantum criticality".PHYSICAL REVIEW A 87.4(2013).
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