Low-temperature asymptotics of integrable systems in an external field

TL;DR

This paper derives low-temperature asymptotic expansions for integrable models like the bosonic lattice and Heisenberg chain in a magnetic field, providing insights into their thermodynamic behavior at low temperatures.

Contribution

It presents the first detailed low-temperature asymptotic analysis for these integrable systems, including the bosonic lattice model and the critical spin-1/2 Heisenberg chain.

Findings

Low-temperature expansion formulas derived for the models.

Results applicable to the integrable Bose gas.

Comments on high-temperature behavior included.

Abstract

An asymptotic low-temperature expansion is performed for an integrable bosonic lattice model and for the critical spin-1/2 Heisenberg chain in a magnetic field. The results apply to the integrable Bose gas as well. We also comment on a high-temperature expansion of the bosonic lattice model.