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arXiv · 1012.1519

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

Gangcheng Wang·Kang Xue·Chunfang Sun·Guijiao Du
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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.

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Gangcheng Wang, Kang Xue, Chunfang Sun, Guijiao Du. 2010-12-07. Yang-Baxter $\breve{R}$ matrix, Entanglement and Yangian. https://arxiv.org/abs/1012.1519

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