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

  • Authors:

  • Gangcheng Wang;Kang Xue;Chunfang Sun;Guijiao Du

  • Affiliations:

  • School of Physics, Northeast Normal University, Changchun, People's Republic of China 130024;School of Physics, Northeast Normal University, Changchun, People's Republic of China 130024;School of Physics, Northeast Normal University, Changchun, People's Republic of China 130024;School of Physics, Northeast Normal University, Changchun, People's Republic of China 130024

  • Venue:
  • Quantum Information Processing
  • Year:
  • 2012

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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) 脳 (2j 2 + 1)-dimensional system with these Yang-Baxter $${\breve R}$$ matrices. By means of Yang-Baxter approach, a 8 脳 8 Yang-Baxter Hamiltonian is constructed. Yangian symmetry and Yangian generators as shift operators for this Yang-Baxter system are investigated in detail.