A REPRESENTATION OF SPECIALIZED BIRMAN-WENZL-MURAKAMI ALGEBRA AND BERRY PHASE IN YANG-BAXTER SYSTEM
Lidan Gou, Kang Xue, Qingyong Wang +2 more
We present an S-matrix, a solution of the braid relation. A matrix representation of specialized Birman-Wenzl-Murakami algebra is obtained. Based on which, a unitary [Formula: see text]-matrix is generated via the Yang-Baxterization approach. Then we construct a Yang-Baxter Hamiltonian through the unitary [Formula: see text]-matrix. Berry phase of this Yang-Baxter system is investigated in detail.
International Journal of Quantum Information•Oct 1, 2010•2 citations