{
  "id": "2108.04834",
  "version": "v1",
  "published": "2021-08-10T18:00:04.000Z",
  "updated": "2021-08-10T18:00:04.000Z",
  "title": "Many-Body Localization with Quasiperiodic Driving",
  "authors": [
    "David M. Long",
    "Philip J. D. Crowley",
    "Anushya Chandran"
  ],
  "comment": "14 pages, 4 figures + 6 pages, 4 figures",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.quant-gas",
    "cond-mat.stat-mech",
    "cond-mat.str-el",
    "quant-ph"
  ],
  "abstract": "Sufficient disorder is believed to localize static and periodically-driven interacting chains. With quasiperiodic driving by $D$ incommensurate tones, the fate of this many-body localization (MBL) is unknown. We argue that randomly disordered MBL exists for $D=2$, but not for $D \\geq 3$. Specifically, a putative two-tone driven MBL chain is neither destabilized by thermal avalanches seeded by rare thermal regions, nor by the proliferation of long-range many-body resonances. For $D \\geq 3$, however, sufficiently large thermal regions have continuous local spectra and slowly thermalize the entire chain. En route, we generalize the eigenstate thermalization hypothesis to the quasiperiodically-driven setting, and verify its predictions numerically. Two-tone driving enables new topological orders with edge signatures; our results suggest that localization protects these orders indefinitely.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-08-10T18:00:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "many-body localization",
      "quasiperiodic driving",
      "putative two-tone driven mbl chain",
      "rare thermal regions",
      "eigenstate thermalization hypothesis"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}