Based on the method which is given in Ref. [Sun et.al. arXiv:0904.0092v1], we present another $9\times 9$ unitary $\breve{ R}-$matrix, solution of the Yang-Baxter Equation, is obtained in this paper. The entanglement properties of $\breve{ R}-$matrix is investigated, and the arbitrary degree of entanglement for two-qutrit entangled states can be generated via $\breve{ R}$-matrix acting on the standard basis. A Yang-Baxter Hamiltonian can be constructed from unitary $\breve{ R}-$matrix. Then the geometric properties of this system is studied. The results showed that the Berry phase of this system can be represented under the framework of SU(2) algebra.
Categories: quant-ph