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

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

Abstract

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.

Keywords: correlation function momentum distributions structure factor contact

Received: 02 May 2018
Revised: 16 May 2018
Accepted manuscript online:

PACS:	03.75.Ss	(Degenerate Fermi gases)
	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)

Fund:

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.

Corresponding Authors: Xi-Wen Guan
E-mail: xwe105@wipm.ac.cn

Cite this article:

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

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

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