Entanglement and the Berry phase in a new Yang–Baxter system

Abstract

We present a new S-matrix, a solution of the braid relation and obtain a unitary solution of the Yang–Baxter equation (YBE) via Yang-Baxterization acting on the solution. We show that arbitrary two-qubit entangled states can be achieved by relating the unitary matrix to entanglement. An oscillator Hamiltonian can be constructed from the matrix. The Berry phase of the Yang–Baxter system is investigated.