{
  "id": "1012.1519",
  "version": "v1",
  "published": "2010-12-07T14:36:28.000Z",
  "updated": "2010-12-07T14:36:28.000Z",
  "title": "Yang-Baxter $\\breve{R}$ matrix, Entanglement and Yangian",
  "authors": [
    "Gangcheng Wang",
    "Kang Xue",
    "Chunfang Sun",
    "Guijiao Du"
  ],
  "comment": "12 pages, 1 figure",
  "categories": [
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-12-07T14:36:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "02.10.Yn",
      "03.65.Ud",
      "03.65.Fd"
    ],
    "keywords": [
      "entanglement",
      "form unitary yang-baxter",
      "tensor product space",
      "yangian generators",
      "yang-baxter system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 880135,
      "adsabs": "2010arXiv1012.1519W"
    }
  }
}