Momentum distribution and non-local high order correlation functions of 1D strongly interacting Bose gas

doi:10.1088/1674-1056/27/7/070306

	Momentum distribution and non-local high order correlation functions of 1D strongly interacting Bose gas
	Nandani, E. J. K. P.2,3,4; Guan, Xi-Wen 1,4
刊名	CHINESE PHYSICS B
	2018-07-01
卷号	27 期号:7 页码:14
关键词	correlation function momentum distributions structure factor contact
ISSN号	1674-1056
DOI	10.1088/1674-1056/27/7/070306
英文摘要	The Lieb-Liniger model is a prototypical integrable model and has been turned into the benchmark physics in theoretical and numerical investigations of low-dimensional quantum systems. In this note, we present various methods for calculating local and nonlocal M-particle correlation functions, momentum distribution, and static structure factor. In particular, using the Bethe ansatz wave function of the strong coupling Lieb-Liniger model, we analytically calculate the two-point correlation function, the large moment tail of the momentum distribution, and the static structure factor of the model in terms of the fractional statistical parameter alpha = 1 - 2/gamma, where gamma is the dimensionless interaction strength. We also discuss the Tan's adiabatic relation and other universal relations for the strongly repulsive Lieb-Liniger model in terms of the fractional statistical parameter.
资助项目	National Natural Science Foundation of China[11374331] ; National Natural Science Foundation of China[11534014] ; National Key R&D Program of China[2017YFA0304500] ; CAS-TWAS President's Fellowship
WOS关键词	REDUCED DENSITY MATRIX ; TONKS-GIRARDEAU GAS ; IMPENETRABLE BOSONS ; ONE-DIMENSION ; FERMI GAS ; FRACTIONAL-STATISTICS ; ZERO TEMPERATURE ; GROUND-STATE ; IDEAL-GAS ; THERMODYNAMICS
WOS研究方向	Physics
语种	英语
出版者	IOP PUBLISHING LTD
WOS记录号	WOS:000439121500006
资助机构	National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Key R&D Program of China ; National Key R&D Program of China ; CAS-TWAS President's Fellowship ; CAS-TWAS President's Fellowship ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Key R&D Program of China ; National Key R&D Program of China ; CAS-TWAS President's Fellowship ; CAS-TWAS President's Fellowship ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Key R&D Program of China ; National Key R&D Program of China ; CAS-TWAS President's Fellowship ; CAS-TWAS President's Fellowship ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Key R&D Program of China ; National Key R&D Program of China ; CAS-TWAS President's Fellowship ; CAS-TWAS President's Fellowship
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/21325]
专题	中国科学院武汉物理与数学研究所
通讯作者	Guan, Xi-Wen
作者单位	1.Australian Natl Univ, Res Sch Phys & Engn, Dept Theoret Phys, Canberra, ACT 0200, Australia 2.Univ Ruhuna, Dept Math, Matara 81000, Sri Lanka 3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 4.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Hubei, Peoples R China
推荐引用方式 GB/T 7714	Nandani, E. J. K. P.,Guan, Xi-Wen. Momentum distribution and non-local high order correlation functions of 1D strongly interacting Bose gas[J]. CHINESE PHYSICS B,2018,27(7):14.
APA	Nandani, E. J. K. P.,&Guan, Xi-Wen.(2018).Momentum distribution and non-local high order correlation functions of 1D strongly interacting Bose gas.CHINESE PHYSICS B,27(7),14.
MLA	Nandani, E. J. K. P.,et al."Momentum distribution and non-local high order correlation functions of 1D strongly interacting Bose gas".CHINESE PHYSICS B 27.7(2018):14.