Birman-Wenzl-Murakami Algebra, Topological parameter and Berry phase
Quantum Physics
2011-11-11 v2
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(\theta,\phi_1,\phi_2), B(\theta,\phi_1,\phi_2)) are generated via the Yang-Baxterization approach. A hamiltonian is constructed from the unitary (B(\theta,\phi)) matrix. We then study the Berry phase of the Yang-Baxter system and find the topological parameter d has relationship with berry phase.
Keywords
Cite
@article{arxiv.1012.1994,
title = {Birman-Wenzl-Murakami Algebra, Topological parameter and Berry phase},
author = {Chengcheng Zhou and Kang Xue and Lidan Gou and Chunfang Sun and Gangcheng Wang and Taotao Hu},
journal= {arXiv preprint arXiv:1012.1994},
year = {2011}
}
Comments
12 pages, 3 figures