One-Dimensional Impenetrable Anyons in Thermal Equilibrium. II. Determinant Representation for the Dynamic Correlation Functions

TL;DR

This paper derives a determinant representation for the dynamic correlation functions of impenetrable anyons in thermal equilibrium, extending previous static results and providing a new analytical tool for studying such quantum systems.

Contribution

It introduces a determinant formula for time- and temperature-dependent correlations of impenetrable anyons, generalizing static results to dynamic cases.

Findings

Determinant representation for dynamic correlation functions derived

Static case results shown to match generalized Lenard's formula

Provides a new analytical approach for studying anyonic systems

Abstract

We have obtained a determinant representation for the time- and temperature-dependent field-field correlation function of the impenetrable Lieb-Liniger gas of anyons through direct summation of the form factors. In the static case, the obtained results are shown to be equivalent to those that follow from the anyonic generalization of Lenard's formula.