Yang-Baxter $\breve{R}$ matrix, Entanglement and Yangian

Abstract

We present a method to construct "X" form unitary Yang-Baxter $\breve{R}$ matrices, which act on the tensor product space $V_i^{j_1}\otimes V_{i+1}^{j_2}$. We can obtain a set of entangled states for $(2j_1+1)\times (2j_2+1)$-dimensional system with these Yang-Baxter $\breve{R}$ matrices. By means of Yang-Baxter approach, a $8\times 8$ Yang-Baxter Hamiltonian is constructed. Yangian symmetry and Yangian generators as shift operators for this Yang-Baxter system are investigated in detail.

12 pages, 1 figure

References in corpus (2)

• Entanglement and Berry Phase in a $(3\times 3)-$dimensional Yang-Baxter system
• Exact Solution of a Yang-Baxter Spin-1/2 Chain Model and Quantum Entanglement