Momentum distribution and contacts of one-dimensional spinless Fermi gases with an attractive p-wave interaction | |
Yin, Xiangguo2,3,4; Guan, Xi-Wen5,6; Zhang, Yunbo2; Su, Haibin1; Zhang, Shizhong3,4 | |
刊名 | PHYSICAL REVIEW A
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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). |
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