论文标题
Lieb-Liniger模型在有限温度下的一身动力学相关函数
One-body dynamical correlation function of Lieb-Liniger model at finite temperature
论文作者
论文摘要
一维（1D）bose气体的动态相关性能为从集体激发中出现的新物理学有深刻的理解，例如，偏离远距离阶层的分解以及托莫纳加 - 荷兰液体液体理论的建立。但是，由于一维多体系统的非扰动性质，相关函数的确切评估非常困难。在这里，通过基于代数贝尔·安萨兹（Bethe Ansatz）和数字的形式方法方法，我们介绍了在有限温度下Lieb-Liniger模型的单体动力学相关函数（1BDCF）的详尽研究。从各个角度展示和分析了热波动和相互作用对1BDCF行为的影响，包括光谱分布，固定动量处的线形和相应的静态相关性。
The dynamical correlated properties of one-dimensional (1D) Bose gases provide profound understanding of novel physics emergent from collective excitations, for instance, the breakdown of off-diagonal long-range order, and the establishment of Tomonaga-Luttinger liquid theory. However, due to the nonperturbative nature of 1D many-body systems, the exact evaluation of correlation functions is notoriously difficult. Here, by means of a form factor approach based on an algebraic Bethe ansatz and numerics, we present a thorough study on the one-body dynamical correlation function (1BDCF) of the Lieb-Liniger model at finite temperature. The influence of thermal fluctuation and interaction on the behavior of 1BDCF has been demonstrated and analyzed from various perspectives, including the spectral distribution, the line shape at fixed momentum, and the corresponding static correlations.
