{
  "id": "1507.07773",
  "version": "v1",
  "published": "2015-07-28T13:58:30.000Z",
  "updated": "2015-07-28T13:58:30.000Z",
  "title": "Relaxation times of dissipative many-body quantum systems",
  "authors": [
    "Marko Znidaric"
  ],
  "comment": "18 pages",
  "categories": [
    "cond-mat.stat-mech",
    "quant-ph"
  ],
  "abstract": "We study relaxation times, also called mixing times, of quantum many-body systems described by a Lindblad master equation. We in particular study the scaling of the spectral gap with the system length, the so-called dynamical exponent, identifying a number of transitions in the scaling. For systems with bulk dissipation we generically observe different scaling for small and for strong dissipation strength, with a critical transition strength going to zero in the thermodynamic limit. We also study a related phase transition in the largest decay mode. For systems with only boundary dissipation we show that the gap can not be larger than 1/L. In integrable systems with boundary dissipation one typically observes scaling 1/L^3, while in chaotic ones one can have faster relaxation with the gap scaling as 1/L. We also observe transition from exponential to algebraic gap in systems with localized edge modes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-28T13:58:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dissipative many-body quantum systems",
      "transition",
      "boundary dissipation",
      "lindblad master equation",
      "largest decay mode"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}