Correlation functions of the integrable isotropic spin-1 chain at finite temperature

TL;DR

This paper derives a multiple integral representation for the density matrix of a finite segment of the integrable isotropic spin-1 chain at finite temperature and magnetic field, facilitating analysis of its thermodynamic properties.

Contribution

It provides a novel integral formula for the density matrix of the spin-1 chain at finite temperature and magnetic field, extending previous results to higher spin systems.

Findings

Integral formula valid at finite temperature and magnetic field

Enables analysis of thermodynamic properties of the spin-1 chain

Extends methods from spin-1/2 to spin-1 systems

Abstract

We represent the density matrix of a finite segment of the integrable isotropic spin-1 chain in the thermodynamic limit as a multiple integral. Our integral formula is valid at finite temperature and also includes a homogeneous magnetic field.