A 9× 9 Matrix Representation of Birman-Wenzl-Murakami Algebra and Berry Phase in Yang-Baxter System

We present a 9 × 9 S-matrix and E-matrix. A representation of specialized Birman-Wenzl-Murakami algebra is obtained. Starting from the given braid group representation S-matrix, we obtain the trigonometric solution of Yang-Baxter equation. A unitary matrix R（x, φ1, φ2） is generated via the Yang Baxt...

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Bibliographic Details
Published in:Communications in theoretical physics 2011-02, Vol.55 (2), p.263-267, Article 263
Main Author: 苟立丹 薛康 王刚成
Format: Article
Language:English
Subjects:
Berry相
上代数
代数表达式
矩阵和
矩阵表示
辫子群表示
酉矩阵
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Summary:We present a 9 × 9 S-matrix and E-matrix. A representation of specialized Birman-Wenzl-Murakami algebra is obtained. Starting from the given braid group representation S-matrix, we obtain the trigonometric solution of Yang-Baxter equation. A unitary matrix R（x, φ1, φ2） is generated via the Yang Baxterization approach. Then we construct a Yang-Baxter Hamiltonian through the unitary matrix R（x, φ1, φ2）. Berry phase of this Yang-Baxter system is investigated in detail.
ISSN:0253-6102
DOI:10.1088/0253-6102/55/2/14