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

• 来源期刊: 中国物理B（英文版）
• 关键词: correlation function momentum distributions structure factor contact
• 年，卷（期）: 2018,（7）
• 页码范围: 154-168
• 页数: 15页
• 语种: 英文
• DOI: 10.1088/1674-1056/27/7/070306

摘要

The Lieb–Liniger model is a prototypical integrable model and has been turned into the benchmark physics in the-oretical 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 par-ticular, 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, whereγ 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.