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

Abstract

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.

6 pages

References in corpus (4)

• Non-Abelian Anyons and Topological Quantum Computation
• Geometric phases and criticality in spin chain systems
• Braiding transformation, entanglement swapping and Berry phase in entanglement space
• Berry phase and quantum criticality in Yang--Baxter systems

Cited by in corpus (1)

• Berry phase and entanglement of 3 qubits in a new Yang-Baxter system