An open-boundary integrable model of three coupled XY spin chains

TL;DR

This paper introduces an integrable model of three coupled XY spin chains with open boundaries, deriving boundary conditions, solving the Hamiltonian via Bethe ansatz, and providing explicit equations for the system.

Contribution

It presents the first explicit construction of open-boundary integrable conditions for three coupled XY spin chains and derives the associated Bethe ansatz equations.

Findings

Diagonal boundary K-matrices are explicitly found.

A class of integrable boundary terms is identified.

Bethe ansatz equations for the model are derived.

Abstract

The integrable open-boundary conditions for the model of three coupled one-dimensional XY spin chains are considered in the framework of the quantum inverse scattering method. The diagonal boundary K-matrices are found and a class of integrable boundary terms is determined. The boundary model Hamiltonian is solved by using the coordinate space Bethe ansatz technique and Bethe ansatz equations are derived.