{
  "id": "1511.03281",
  "version": "v1",
  "published": "2015-11-08T06:08:48.000Z",
  "updated": "2015-11-08T06:08:48.000Z",
  "title": "Constructions of Dicke states in high spin multi-particle systems",
  "authors": [
    "Wan-Fang Liu",
    "Zheng-Da Hu"
  ],
  "comment": "13 pages,2 figures",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We study the constructions of Dicke states of identical particles of spin-$1$, $3/2$ and $2$ in the number representation with given particle number $N$ and magnetic quantum number $M$. The complete bases and corresponding coefficients in the Dicke states are given, in terms of which the Dicke states are explicitly expressed in the number representation. As a byproduct, a rule of how to construct all the anti-symmetric states in these high spin systems is given. Finally, by employing the negativity as the entanglement measure, we explore the entanglement properties for spin-$1$ cases including certain pure states of two particles and many-particle Dicke states.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-08T06:08:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "high spin multi-particle systems",
      "constructions",
      "number representation",
      "high spin systems",
      "many-particle dicke states"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151103281L"
    }
  }
}