{
  "id": "2010.07919",
  "version": "v1",
  "published": "2020-10-15T17:51:19.000Z",
  "updated": "2020-10-15T17:51:19.000Z",
  "title": "Dephasing in strongly disordered interacting quantum wires",
  "authors": [
    "Sourav Nandy",
    "Ferdinand Evers",
    "Soumya Bera"
  ],
  "comment": "7+3 pages, 6+4 figures",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.str-el"
  ],
  "abstract": "Many-body localization is a fascinating theoretical concept describing the intricate interplay of quantum interference, i.e. localization, with many-body interaction induced dephasing. Numerous computational tests and also several experiments have been put forward to support the basic concept. Typically, averages of time-dependent global observables have been considered, such as the charge imbalance. We here investigate within the disordered spin-less Hubbard ($t-V$) model how dephasing manifests in time dependent variances of observables. We find that after quenching a N\\'eel state the local charge density exhibits strong temporal fluctuations with a damping that is sensitive to disorder $W$: variances decay in a power law manner, $t^{-\\zeta}$, with an exponent $\\zeta(W)$ strongly varying with $W$. A heuristic argument suggests the form, $\\zeta\\approx\\alpha(W)\\xi_\\text{sp}$, where $\\xi_\\text{sp}(W)$ denotes the noninteracting localization length and $\\alpha(W)$ characterizes the multifractal structure of the dynamically active volume fraction of the many-body Hilbert space. In order to elucidate correlations underlying the damping mechanism, exact computations are compared with results from the time-dependent Hartree-Fock approximation. Implications for experimentally relevant observables, such as the imbalance, will be discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-15T17:51:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "strongly disordered interacting quantum wires",
      "localization",
      "time-dependent hartree-fock approximation",
      "many-body hilbert space",
      "time-dependent global observables"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}