Complete spectrum and scalar products for the open spin-1/2 XXZ quantum chains with non-diagonal boundary terms

TL;DR

This paper employs the quantum separation of variables method to construct eigenstates of the open XXZ spin-1/2 chain with general boundary conditions, enabling the calculation of scalar products, form factors, and correlation functions.

Contribution

It introduces a novel SOV-based framework for eigenstate construction in the open XXZ chain with non-diagonal boundaries, facilitating the computation of physical quantities.

Findings

Eigenstates constructed via quadratic equations

Scalar products computed explicitly

Framework applicable to form factors and correlations

Abstract

We use the quantum separation of variable (SOV) method to construct the eigenstates of the open XXZ chain with the most general boundary terms. The eigenstates in the inhomogeneous case are constructed in terms of solutions of a system of quadratic equations. This SOV representation permits us to compute scalar products and can be used to calculate form factors and correlation functions.