Entanglement and Berry Phase in a $(3\times 3)-$dimensional Yang-Baxter system

Details Entanglement and Berry Phase in a $(3\times 3)-$dimensional Yang-Baxter system Entanglement and Berry Phase in a $(3\times 3)-$dimensional Yang-Baxter system

2009-03-22

arxiv.org/abs/0903.3713v4

Physics

Quantum Physics

6 pages

Scientific paper

10.1088/1751-8113/42/12/125207

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.

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