{
  "id": "2012.13722",
  "version": "v1",
  "published": "2020-12-26T11:51:55.000Z",
  "updated": "2020-12-26T11:51:55.000Z",
  "title": "Stark many-body localization: Evidence for Hilbert-space shattering",
  "authors": [
    "Elmer V. H. Doggen",
    "Igor V. Gornyi",
    "Dmitry G. Polyakov"
  ],
  "comment": "6 pages, 3 figures, supplementary with 2 pages, 1 figure",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.quant-gas",
    "cond-mat.str-el"
  ],
  "abstract": "We study the dynamics of an interacting quantum spin chain under the application of a linearly increasing potential. This model exhibits a type of localization known as Stark many-body localization. The dynamics shows a strong dependence on the initial conditions, indicating that the system violates the eigenstate thermalization hypothesis at any finite gradient of the potential. This is contrary to reports of a numerically observed ergodic phase. Therefore, the localization is crucially distinct from disorder-driven many-body localization, in agreement with recent predictions on the basis of localization via Hilbert-space shattering.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-26T11:51:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stark many-body localization",
      "hilbert-space shattering",
      "disorder-driven many-body localization",
      "interacting quantum spin chain",
      "eigenstate thermalization hypothesis"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}