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

Miłosz Panfil

Published 2020-08-20Version 1

We consider a problem of computing dynamic correlation functions of quantum integrable models employing thermodynamic form-factors 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. The method developed is in principle applicable to any finite energy and entropy state, our primary focus lies on the thermal states. To exemplify this approach we choose the Lieb-Liniger model and study the dynamic density-density correlation function and two-point functions of higher local conserved densities and currents present in integrable theories.