{
  "id": "1211.3002",
  "version": "v2",
  "published": "2012-11-13T14:38:58.000Z",
  "updated": "2014-10-19T01:45:42.000Z",
  "title": "Probing Planckian physics in de Sitter space with quantum correlations",
  "authors": [
    "Jun Feng",
    "Cheng-Yi Sun",
    "Wen-Li Yang",
    "Yao-Zhong Zhang",
    "Heng Fan"
  ],
  "comment": "25 pages, 7 figures, replaced to match the extended version, accepted by Annals of Physics",
  "categories": [
    "quant-ph",
    "gr-qc",
    "hep-th"
  ],
  "abstract": "We study the quantum correlation and quantum communication channel of both free scalar and fermionic field in de Sitter space, while the Planckian modification presented by choice of a particular $\\alpha$-vacuum has been considered. We show that the occurrence of degradation of quantum entanglement between field modes for an inertial observer in curved space, due to the radiation associated with his cosmological horizon. Comparing with standard Bunch-Davies choice, the possible Planckian physics causes some extra decrement on the quantum correlation, which may provide the means to detect quantum gravitational effects via quantum information methodology in future. Beyond single-mode approximation, we construct proper Unruh modes admitting general $\\alpha-$vacua, and find a convergent feature of both bosonic and fermionic entanglement. In particular, we show that the convergent points of fermionic entanglement negativity are dependent on the choice of $\\alpha$. Moreover, an one-to-one correspondence between convergent points $H_c$ of negativity and zeros of quantum capacity of quantum channels in de Sitter space has been proved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-11-13T14:38:58.000Z",
      "abstract": "We study the quantum correlations of both free scalar and fermionic field in de Sitter space, while the Planckian modification presented by choice of a particular {\\alpha}-vacuum has been considered. We show the occurrence of degradation of quantum entanglement and quantum discord between field modes for inertial observer in curved space, due to the radiation associated with cosmological horizon. In particular, comparing with standard Bunch-Davies choice, the possible Planckian physics causes some extra decrement on the quantum correlation, which may provides the means to detect quantum gravitational effects via quantum information methodology in future.",
      "comment": "10 pages, 10 figures. arXiv admin note: substantial text overlap with arXiv:1205.4098, arXiv:1210.8238",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-10-19T01:45:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.67.Mn",
      "04.62.+v",
      "03.65.Ud"
    ],
    "keywords": [
      "quantum correlation",
      "probing planckian physics",
      "sitter space",
      "detect quantum gravitational effects",
      "standard bunch-davies choice"
    ],
    "publication": {
      "doi": "10.1016/j.aop.2014.10.014"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.3002F",
      "inspire": 1202486
    }
  }
}