论文标题

两个粒子孔对贡献了量子整合模型的动态相关函数

The two particle-hole pairs contribution to the dynamic correlation functions of quantum integrable models

论文作者

Panfil, Miłosz

论文摘要

我们考虑使用热力学形式方法方法计算量子整合模型的动态相关函数的问题。具体而言,我们专注于保存颗粒数量的本地操作员的相关性,并考虑对其两点函数的2个孔贡献。由于开发的方法通常适用于任何有限的能量和熵状态,我们的主要重点是热状态。为了举例说明这种方法,我们选择了Lieb-Liniger模型,并研究了小动量的2粒子孔激发到动态密度密度相关函数的主要贡献。我们还考虑了对综合理论中存在的较高局部保守密度和电流的两点函数的类似贡献。

We consider the problem of computing dynamic correlation functions of quantum integrable models employing the thermodynamic form-factor approach. Specifically, we focus on correlations of local operators that conserve the number of particles and consider the 2-particle-hole contribution to their two-point functions. With the method developed being generally applicable to any finite energy and entropy state, our primary focus is on the thermal states. To exemplify this approach, we chose the Lieb-Liniger model and study the leading contribution from 2-particle-hole excitations at small momenta to the dynamic density-density correlation function. We also consider analogous contributions to two-point functions of higher local conserved densities and currents present in integrable theories.

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