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- Title
Birman-Wenzl-Murakami algebra, topological parameter and Berry phase.
- Authors
Zhou, Chengcheng; Xue, Kang; Gou, Lidan; Sun, Chunfang; Wang, Gangcheng; Hu, Taotao
- Abstract
In this paper, a 3 × 3-matrix representation of Birman-Wenzl-Murakami (BWM) algebra has been presented. Based on which, unitary matrices A( θ, φ, φ) and B( θ, φ, φ) are generated via Yang-Baxterization approach. A Hamiltonian is constructed from the unitary B( θ, φ) matrix. Then we study Berry phase of the Yang-Baxter system, and obtain the relationship between topological parameter and Berry phase.
- Subjects
PARAMETER estimation; GEOMETRIC quantum phases; MATRICES (Mathematics); YANG-Baxter equation; HAMILTONIAN systems; REPRESENTATIONS of algebras
- Publication
Quantum Information Processing, 2012, Vol 11, Issue 6, p1765
- ISSN
1570-0755
- Publication type
Article
- DOI
10.1007/s11128-011-0331-1