Momentum distribution and contacts of one-dimensional spinless Fermi gases with an attractive p-wave interaction

doi:10.1103/PhysRevA.98.023605

	Momentum distribution and contacts of one-dimensional spinless Fermi gases with an attractive p-wave interaction
	Yin, Xiangguo 2,3,4; Guan, Xi-Wen 5,6; Zhang, Yunbo 2; Su, Haibin 1; Zhang, Shizhong 3,4
刊名	PHYSICAL REVIEW A
	2018-08-07
卷号	98 期号:2
ISSN号	2469-9926
DOI	10.1103/PhysRevA.98.023605
文献子类	Article
英文摘要	We present a rigorous study of momentum distribution and p-wave contacts of one-dimensional spinless Fermi gases with an attractive p-wave interaction. Using the Bethe ansatz wave function, we calculate analytically the high-momentum tail and show that the leading (similar to 1/p(2)) and sub-leading terms (similar to 1/p(4)) are determined by two contacts C-2 and C-4, which are related to the short-distance behavior of the two-body density matrix and its derivatives. As one increases the one-dimensional scattering length, the contact C-2 increases monotonically from zero while C-4 exhibits a peak at finite scattering length. In addition, we obtain analytic expressions for p-wave contacts at finite temperature from the thermodynamic Bethe ansatz equations for both weak and strong attractive interactions.
WOS关键词	DELTA-FUNCTION INTERACTION ; TONKS-GIRARDEAU GAS ; IMPENETRABLE BOSONS ; UNIVERSAL RELATIONS ; SYSTEMS
WOS研究方向	Optics ; Physics
语种	英语
出版者	AMER PHYSICAL SOC
WOS记录号	WOS:000441001800007
资助机构	NSF of China(11704233 ; NSF of China(11704233 ; Key NNSFC Grant(11534014) ; Key NNSFC Grant(11534014) ; National Key R&D Program of China(2017YFA0304500) ; National Key R&D Program of China(2017YFA0304500) ; Hong Kong Research Grants Council(C6026-16W ; Hong Kong Research Grants Council(C6026-16W ; Croucher Foundation under the Croucher Innovation Award ; Croucher Foundation under the Croucher Innovation Award ; Society of Interdisciplinary Research (SOIREE) ; Society of Interdisciplinary Research (SOIREE) ; 11474189 ; 11474189 ; GRF 17318316) ; GRF 17318316) ; 11674201) ; 11674201) ; NSF of China(11704233 ; NSF of China(11704233 ; Key NNSFC Grant(11534014) ; Key NNSFC Grant(11534014) ; National Key R&D Program of China(2017YFA0304500) ; National Key R&D Program of China(2017YFA0304500) ; Hong Kong Research Grants Council(C6026-16W ; Hong Kong Research Grants Council(C6026-16W ; Croucher Foundation under the Croucher Innovation Award ; Croucher Foundation under the Croucher Innovation Award ; Society of Interdisciplinary Research (SOIREE) ; Society of Interdisciplinary Research (SOIREE) ; 11474189 ; 11474189 ; GRF 17318316) ; GRF 17318316) ; 11674201) ; 11674201) ; NSF of China(11704233 ; NSF of China(11704233 ; Key NNSFC Grant(11534014) ; Key NNSFC Grant(11534014) ; National Key R&D Program of China(2017YFA0304500) ; National Key R&D Program of China(2017YFA0304500) ; Hong Kong Research Grants Council(C6026-16W ; Hong Kong Research Grants Council(C6026-16W ; Croucher Foundation under the Croucher Innovation Award ; Croucher Foundation under the Croucher Innovation Award ; Society of Interdisciplinary Research (SOIREE) ; Society of Interdisciplinary Research (SOIREE) ; 11474189 ; 11474189 ; GRF 17318316) ; GRF 17318316) ; 11674201) ; 11674201) ; NSF of China(11704233 ; NSF of China(11704233 ; Key NNSFC Grant(11534014) ; Key NNSFC Grant(11534014) ; National Key R&D Program of China(2017YFA0304500) ; National Key R&D Program of China(2017YFA0304500) ; Hong Kong Research Grants Council(C6026-16W ; Hong Kong Research Grants Council(C6026-16W ; Croucher Foundation under the Croucher Innovation Award ; Croucher Foundation under the Croucher Innovation Award ; Society of Interdisciplinary Research (SOIREE) ; Society of Interdisciplinary Research (SOIREE) ; 11474189 ; 11474189 ; GRF 17318316) ; GRF 17318316) ; 11674201) ; 11674201)
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/13030]
专题	中国科学院武汉物理与数学研究所
通讯作者	Yin, Xiangguo
作者单位	1.Hong Kong Univ Sci & Technol, Dept Chem, Hong Kong, Hong Kong, Peoples R China 2.Shanxi Univ, Inst Theoret Phys, Taiyuan 030006, Shanxi, 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, Wuhan Inst Phys & Math, State Key Lab Magnet Resonance & Atom & Mol Phys, Wuhan 430071, Hubei, 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	Yin, Xiangguo,Guan, Xi-Wen,Zhang, Yunbo,et al. Momentum distribution and contacts of one-dimensional spinless Fermi gases with an attractive p-wave interaction[J]. PHYSICAL REVIEW A,2018,98(2).
APA	Yin, Xiangguo,Guan, Xi-Wen,Zhang, Yunbo,Su, Haibin,&Zhang, Shizhong.(2018).Momentum distribution and contacts of one-dimensional spinless Fermi gases with an attractive p-wave interaction.PHYSICAL REVIEW A,98(2).
MLA	Yin, Xiangguo,et al."Momentum distribution and contacts of one-dimensional spinless Fermi gases with an attractive p-wave interaction".PHYSICAL REVIEW A 98.2(2018).