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arXiv · 1012.1994

Birman-Wenzl-Murakami Algebra, Topological parameter and Berry phase

Chengcheng Zhou·Kang Xue·Lidan Gou·Chunfang Sun·Gangcheng Wang·Taotao Hu
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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.

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Chengcheng Zhou, Kang Xue, Lidan Gou, Chunfang Sun, Gangcheng Wang, Taotao Hu. 2010-12-09. Birman-Wenzl-Murakami Algebra, Topological parameter and Berry phase. https://arxiv.org/abs/1012.1994

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