{
  "id": "1708.08666",
  "version": "v1",
  "published": "2017-08-29T09:46:14.000Z",
  "updated": "2017-08-29T09:46:14.000Z",
  "title": "Linked cluster expansions for open quantum systems on a lattice",
  "authors": [
    "Alberto Biella",
    "Jiasen Jin",
    "Oscar Viyuela",
    "Cristiano Ciuti",
    "Rosario Fazio",
    "Davide Rossini"
  ],
  "comment": "11 pages, 6 figures",
  "categories": [
    "cond-mat.stat-mech",
    "quant-ph"
  ],
  "abstract": "We propose a generalization of the linked-cluster expansions to study driven-dissipative quantum lattice models, directly accessing the thermodynamic limit of the system. Our method leads to the evaluation of the desired extensive property onto small connected clusters of a given size and topology. We first test this approach on the isotropic spin-1/2 Hamiltonian in two dimensions, where each spin is coupled to an independent environment that induces incoherent spin flips. Then we apply it to the study of an anisotropic model displaying a dissipative phase transition from a magnetically ordered to a disordered phase. By means of a Pad\\'e analysis on the series expansions for the average magnetization, we provide a viable route to locate the phase transition and to extrapolate the critical exponent for the magnetic susceptibility.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-29T09:46:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "open quantum systems",
      "linked cluster expansions",
      "study driven-dissipative quantum lattice models",
      "phase transition",
      "induces incoherent spin flips"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}