Quantum spin chain with "soliton non-preserving" boundary conditions

TL;DR

This paper introduces and analyzes a novel integrable quantum spin chain with 'soliton non-preserving' boundary conditions, providing explicit eigenvalues and Bethe ansatz equations, marking the first such study in this framework.

Contribution

It is the first to consider 'soliton non-preserving' boundary conditions in an integrable quantum spin chain, constructing the transfer matrix and deriving Bethe ansatz equations.

Findings

Constructed the transfer matrix for the model.

Derived explicit eigenvalues of the transfer matrix.

Established new Bethe ansatz equations for the system.

Abstract

We consider the case of an integrable quantum spin chain with "soliton non-peserving" boundary conditions. This is the first time that such boundary conditions have been considered in the spin chain framework. We construct the transfer matrix of the model, we study its symmetry and we find explicit expressions for its eigenvalues. Moreover, we derive a new set of Bethe ansatz equations by means of the analytical Bethe ansatz method.