{
  "id": "1202.2997",
  "version": "v2",
  "published": "2012-02-14T11:05:39.000Z",
  "updated": "2012-06-13T06:42:54.000Z",
  "title": "Non-Markovianity, Loschmidt echo and criticality: a unified picture",
  "authors": [
    "Pinja Haikka",
    "John Goold",
    "Suzanne McEndoo",
    "Francesco Plastina",
    "Sabrina Maniscalco"
  ],
  "journal": "Phys. Rev. A 85, 060101(R) (2012)",
  "doi": "10.1103/PhysRevA.85.060101",
  "categories": [
    "quant-ph"
  ],
  "abstract": "A simple relationship between recently proposed measures of non-Markovianity and the Loschmidt echo is established, holding for a two-level system (qubit) undergoing pure dephasing due to a coupling with a many-body environment. We show that the Loschmidt echo is intimately related to the information flowing out from and occasionally back into the system. This, in turn, determines the non-Markovianity of the reduced dynamics. In particular, we consider a central qubit coupled to a quantum Ising ring in the transverse field. In this context, the information flux between system and environment is strongly affected by the environmental criticality; the qubit dynamics is shown to be Markovian exactly and only at the critical point. Therefore non-Markovianity is an indicator of criticality in the model considered here.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-06-13T06:42:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Yz",
      "03.65.Ta",
      "05.30.Rt"
    ],
    "keywords": [
      "loschmidt echo",
      "non-markovianity",
      "unified picture",
      "two-level system",
      "many-body environment"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review A",
      "year": 2012,
      "month": "Jun",
      "volume": 85,
      "number": 6,
      "pages": "060101"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012PhRvA..85f0101H"
    }
  }
}