{
  "id": "1807.01674",
  "version": "v1",
  "published": "2018-07-04T16:50:21.000Z",
  "updated": "2018-07-04T16:50:21.000Z",
  "title": "Ground-state fidelity at first-order quantum transitions",
  "authors": [
    "Davide Rossini",
    "Ettore Vicari"
  ],
  "comment": "8 pages, 5 figures",
  "categories": [
    "cond-mat.stat-mech",
    "quant-ph"
  ],
  "abstract": "We propose a finite-size scaling (FSS) theory for the fidelity, and the corresponding susceptibility, that holds whenever a given control parameter $\\lambda$ is varied across a quantum phase transition. Our working hypothesis is based on a scaling assumption of the fidelity in terms of the FSS variables associated to $\\lambda$ and to its variation $\\delta \\lambda$. This framework entails the FSS predictions for continuous transitions, and meanwhile enables to extend them to first-order transitions, where the FSS becomes qualitatively different. The latter is supported by analytical and numerical analyses of the quantum Ising chain along its first-order quantum transition line, driven by an external longitudinal field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-04T16:50:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ground-state fidelity",
      "first-order quantum transition line",
      "quantum phase transition",
      "external longitudinal field",
      "first-order transitions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}