Entanglement and Berry Phase in a 9× 9 Yang-Baxter system

الأصل · EN

A M-matrix which satisfies the Hecke algebraic relations is presented. Via the Yang-Baxterization approach, we obtain a unitary solution R(θ,φ₁,φ₂) of Yang-Baxter Equation. It is shown that any pure two-qutrit entangled states can be generated via the universal R-matrix assisted by local unitary transformations. A Hamiltonian is constructed from the R-matrix, and Berry phase of the Yang-Baxter system is investigated. Specifically, for φ₁=φ₂, the Hamiltonian can be represented based on three sets of SU(2) operators, and three oscillator Hamiltonians can be obtained. Under this framework, the Berry phase can be interpreted.