{
  "id": "1102.2389",
  "version": "v4",
  "published": "2011-02-11T16:46:46.000Z",
  "updated": "2012-03-12T13:52:47.000Z",
  "title": "Thermalization in Nature and on a Quantum Computer",
  "authors": [
    "Arnau Riera",
    "Christian Gogolin",
    "Jens Eisert"
  ],
  "comment": "4 pages plus 8 pages appendix, 3 figures",
  "journal": "Phys. Rev. Lett. 108, 080402 (2012)",
  "doi": "10.1103/PhysRevLett.108.080402",
  "categories": [
    "quant-ph",
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this work, we show how Gibbs or thermal states appear dynamically in closed quantum many-body systems, building on the program of dynamical typicality. We introduce a novel perturbation theorem for physically relevant weak system-bath couplings that is applicable even in the thermodynamic limit. We identify conditions under which thermalization happens and discuss the underlying physics. Based on these results, we also present a fully general quantum algorithm for preparing Gibbs states on a quantum computer with a certified runtime and error bound. This complements quantum Metropolis algorithms, which are expected to be efficient but have no known runtime estimates and only work for local Hamiltonians.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2012-03-12T13:52:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.30.-d",
      "03.65.Yz",
      "05.70.Ln"
    ],
    "keywords": [
      "quantum computer",
      "thermalization",
      "physically relevant weak system-bath couplings",
      "complements quantum metropolis algorithms",
      "closed quantum many-body systems"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2012,
      "month": "Feb",
      "volume": 108,
      "number": 8,
      "pages": "080402"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012PhRvL.108h0402R"
    }
  }
}