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

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

中国物理B ›› 2018, Vol. 27 ›› Issue (7): 70306-070306.doi: 10.1088/1674-1056/27/7/070306

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

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

EJKP Nandani, Xi-Wen Guan(管习文)

1 Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China;
2 University of Chinese Academy of Sciences, Beijing 100049, China;
3 Department of Mathematics, University of Ruhuna, Matara 81000, Sri Lanka;
4 Department of Theoretical Physics, Research School of Physics and Engineering, Australian National University, Canberra ACT 0200, Australia

收稿日期:2018-05-02 修回日期:2018-05-16 出版日期:2018-07-05 发布日期:2018-07-05
通讯作者: Xi-Wen Guan E-mail:xwe105@wipm.ac.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11374331 and 11534014) and the National Key R&D Program of China (Grant No. 2017YFA0304500). This work has been partially supported by CAS-TWAS President's Fellowship for International PhD Students.

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

EJKP Nandani^1,2,3, Xi-Wen Guan(管习文)^1,4

1 Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China;
2 University of Chinese Academy of Sciences, Beijing 100049, China;
3 Department of Mathematics, University of Ruhuna, Matara 81000, Sri Lanka;
4 Department of Theoretical Physics, Research School of Physics and Engineering, Australian National University, Canberra ACT 0200, Australia

Received:2018-05-02 Revised:2018-05-16 Online:2018-07-05 Published:2018-07-05
Contact: Xi-Wen Guan E-mail:xwe105@wipm.ac.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11374331 and 11534014) and the National Key R&D Program of China (Grant No. 2017YFA0304500). This work has been partially supported by CAS-TWAS President's Fellowship for International PhD Students.

摘要/Abstract

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 α=1-2/γ, where γ 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.

关键词: correlation function, momentum distributions, structure factor, contact

Abstract:

Key words: correlation function, momentum distributions, structure factor, contact

中图分类号: (Degenerate Fermi gases)

03.75.Ss

03.75.Hh (Static properties of condensates; thermodynamical, statistical, and structural properties) 02.30.Ik (Integrable systems) 05.70.Ce (Thermodynamic functions and equations of state)

EJKP Nandani, 管习文. Momentum distribution and non-local high order correlation functions of 1D strongly interacting Bose gas[J]. 中国物理B, 2018, 27(7): 70306-070306.

EJKP Nandani, Xi-Wen Guan(管习文). Momentum distribution and non-local high order correlation functions of 1D strongly interacting Bose gas[J]. Chin. Phys. B, 2018, 27(7): 70306-070306.

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

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

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