Bethe Ansatz solution of the open XXZ chain with nondiagonal boundary terms

TL;DR

This paper derives Bethe Ansatz equations and eigenvalues for the open XXZ spin chain with nondiagonal boundaries, under specific boundary parameter conditions, advancing the analytical understanding of such quantum systems.

Contribution

It introduces a set of Bethe Ansatz equations and eigenvalue expressions for the open XXZ chain with nondiagonal boundary terms, under a linear boundary parameter relation.

Findings

Derived Bethe Ansatz equations for the model

Provided explicit eigenvalue expressions

Established conditions on boundary parameters

Abstract

We propose a set of conventional Bethe Ansatz equations and a corresponding expression for the eigenvalues of the transfer matrix for the open spin-1/2 XXZ quantum spin chain with nondiagonal boundary terms, provided that the boundary parameters obey a certain linear relation.