Birman-Wenzl-Murakami Algebra, Topological parameter and Berry phase
arXiv:1012.1994
Abstract
In this paper, a (3\times3)-matrix representation of the Birman-Wenzl-Murakami(BWM) algebra has been presented. Based on which, unitary matrices (A(θ,Ï_1,Ï_2), B(θ,Ï_1,Ï_2)) are generated via the Yang-Baxterization approach. A hamiltonian is constructed from the unitary (B(θ,Ï)) matrix. We then study the Berry phase of the Yang-Baxter system and find the topological parameter d has relationship with berry phase.
12 pages, 3 figures