{
  "id": "1811.04941",
  "version": "v1",
  "published": "2018-11-12T19:00:01.000Z",
  "updated": "2018-11-12T19:00:01.000Z",
  "title": "Algebraic Many-Body Localization and its implications on information propagation",
  "authors": [
    "Giuseppe De Tomasi"
  ],
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "We probe the existence of a many-body localized phase (MBL-phase) in a spinless fermionic Hubbard chain with algebraically localized single-particle states, by investigating both static and dynamical properties of the system. This MBL-phase can be characterized by an extensive number of integrals of motion which develop algebraically decaying tails, unlike the case of exponentially localized single-particle states. We focus on the implications for the quantum information propagation through the system. We provide evidence that the bipartite entanglement entropy after a quantum quench has an unbounded algebraic growth in time, while the quantum Fisher information grows logarithmically.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-12T19:00:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "algebraic many-body localization",
      "implications",
      "localized single-particle states",
      "quantum fisher information grows",
      "bipartite entanglement entropy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}