{
  "id": "1506.07265",
  "version": "v1",
  "published": "2015-06-24T07:33:13.000Z",
  "updated": "2015-06-24T07:33:13.000Z",
  "title": "The Necessity of Eigenstate Thermalization",
  "authors": [
    "Giacomo De Palma",
    "Alessio Serafini",
    "Vittorio Giovannetti",
    "Marcus Cramer"
  ],
  "comment": "7 pages",
  "categories": [
    "quant-ph",
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Under the eigenstate thermalization hypothesis (ETH), quantum-quenched systems equilibrate towards canonical, thermal ensembles. While at first glance the ETH might seem a very strong hypothesis, we show that it is indeed not only sufficient but also necessary for thermalization. More specifically, we consider systems coupled to baths with well-defined macroscopic temperature and show that whenever all product states thermalize then the ETH must hold.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-24T07:33:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "eigenstate thermalization hypothesis",
      "first glance",
      "product states",
      "quantum-quenched systems equilibrate",
      "well-defined macroscopic temperature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}