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18 April 2024
 
  » arxiv » 0903.3713

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Entanglement and Berry Phase in a $(3 imes 3)-$dimensional Yang-Baxter system
Gangcheng Wang ; Chunfang Sun ; Qingyong Wang ; Kang Xue ;
Date 22 Mar 2009
AbstractA $9 imes 9$ unitary $reve{R}-$matrix, solution of the Yang-Baxter Equation, is obtained in this paper. The entanglement properties of $reve{R}-$matrix is investigated, and the arbitrary degree of entanglement for two-qutrit entangled states can be generated via $reve{R}$-matrix acting on the standard basis. A Yang-Baxter Hamiltonian can be constructed from unitary $reve{R}-$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.
Source arXiv, 0903.3713
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