Exact solution of the XXZ alternating spin chain with generic non-diagonal boundaries

TL;DR

This paper provides an exact solution for the integrable XXZ alternating spin chain with general non-diagonal boundary conditions using the off-diagonal Bethe Ansatz, advancing understanding of complex quantum integrable models.

Contribution

It introduces a novel method to solve the XXZ alternating spin chain with arbitrary non-diagonal boundaries via the off-diagonal Bethe Ansatz approach.

Findings

Derived inhomogeneous T-Q relation for the model

Established Bethe Ansatz equations for eigenvalues

Solved the model exactly with general boundary conditions

Abstract

The integrable XXZ alternating spin chain with generic non-diagonal boundary terms specified by the most general non-diagonal K-matrices is studied via the off-diagonal Bethe Ansatz method. Based on the intrinsic properties of the fused R-matrices and K-matrices, we obtain certain closed operator identities and conditions, which allow us to construct an inhomogeneous T-Q relation and the associated Bethe Ansatz equations accounting for the eigenvalues of the transfer matrix.