{
  "id": "1607.05692",
  "version": "v1",
  "published": "2016-07-19T18:40:36.000Z",
  "updated": "2016-07-19T18:40:36.000Z",
  "title": "The Interplay between Frustration and Entanglement in Many-Body Systems",
  "authors": [
    "S. M. Giampaolo",
    "K. Simonov",
    "A. Capolupo",
    "B. C. Hiesmayr"
  ],
  "comment": "7 pages, 5 figures",
  "categories": [
    "cond-mat.stat-mech",
    "quant-ph"
  ],
  "abstract": "We present a study of a non-quantum feature (frustration) and a quantum feature (entanglement). For that we define a family of Hamiltonians and solve the eigensystem problem for different numbers of particles and different strengthes of a distant depending interaction. Though the microscopic properties vary extremely we can show that the characteristic functions we introduce quantify frustration and entanglement reliably. One main result is having found a function, termed anisotropy function, capable to characterize frustration and simultaneously being sensitive to local asymmetries of local entanglement. Our introduced toolbox allows for a classification of models with certain entanglement-frustration properties that may be extended to other Hamiltonians.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-19T18:40:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "many-body systems",
      "microscopic properties vary",
      "non-quantum feature",
      "entanglement-frustration properties",
      "local entanglement"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}