{
  "id": "1405.1471",
  "version": "v1",
  "published": "2014-05-06T23:09:07.000Z",
  "updated": "2014-05-06T23:09:07.000Z",
  "title": "Certain General Constraints on the Many-Body Localization Transition",
  "authors": [
    "Tarun Grover"
  ],
  "comment": "5 pages + Appendix",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech",
    "cond-mat.str-el",
    "quant-ph"
  ],
  "abstract": "Isolated quantum systems at strong disorder can display many-body localization (MBL), a remarkable phenomena characterized by an absence of conduction even at finite temperatures. As the ratio of interactions to disorder is increased, one expects that an MBL phase will eventually undergo a dynamical phase transition to a delocalized phase. Here we constrain the nature of such a transition by exploiting the strong subadditivity of entanglement entropy, as applied to the many-body eigenstates close to the transition in general dimensions. In particular, we show that at a putative continuous transition between an MBL and an ergodic delocalized phase, the critical eigenstates are necessarily thermal, and therefore, the critical entanglement entropy equals the thermal entropy. We also explore a qualitatively different continuous localization-delocalization transition, where the delocalized phase is non-ergodic whose volume law entanglement entropy tends to zero as the transition is approached.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-05-06T23:09:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "many-body localization transition",
      "general constraints",
      "volume law entanglement entropy tends",
      "delocalized phase",
      "many-body eigenstates close"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1405.1471G"
    }
  }
}