Bethe Ansatz for 1D interacting anyons

TL;DR

This paper provides a detailed derivation of the Bethe Ansatz solution for one-dimensional interacting anyons, highlighting the role of anyonic phases and deriving thermodynamic equations to analyze ground state properties.

Contribution

It offers a pedagogic derivation of the Bethe Ansatz for 1D anyons, emphasizing the impact of anyonic phases and deriving thermodynamic equations.

Findings

Derived Bethe Ansatz equations for 1D interacting anyons

Analyzed the role of anyonic phases in the solution

Obtained ground state properties from thermodynamic equations

Abstract

This article gives a pedagogic derivation of the Bethe Ansatz solution for 1D interacting anyons. This includes a demonstration of the subtle role of the anyonic phases in the Bethe Ansatz arising from the anyonic commutation relations. The thermodynamic Bethe Ansatz equations defining the temperature dependent properties of the model are also derived, from which some groundstate properties are obtained.