{
"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"
}
}
}