{
  "id": "2106.08237",
  "version": "v1",
  "published": "2021-06-15T15:41:52.000Z",
  "updated": "2021-06-15T15:41:52.000Z",
  "title": "Non-equilibrium dynamics of the open quantum $O(n)$-model with non-Markovian noise: exact results",
  "authors": [
    "Sascha Wald",
    "Malte Henkel",
    "Andrea Gambassi"
  ],
  "comment": "40 pages, 8 figures",
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP",
    "nlin.SI",
    "quant-ph"
  ],
  "abstract": "The collective and purely relaxational dynamics of quantum many-body systems after a quench at temperature $T=0$, from a disordered state to various phases is studied through the exact solution of the quantum Langevin equation of the spherical and the $O(n)$-model in the limit $n\\to\\infty$. The stationary state of the quantum dynamics is shown to be a non-equilibrium state. The quantum spherical and the quantum $O(n)$-model for $n\\to\\infty$ are in the same dynamical universality class. The long-time behaviour of single-time and two-time correlation and response functions is analysed and the universal exponents which characterise quantum coarsening and quantum ageing are derived. The importance of the non-Markovian long-time memory of the quantum noise is elucidated by comparing it with an effective Markovian noise having the same scaling behaviour and with the case of non-equilibrium classical dynamics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-15T15:41:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-equilibrium dynamics",
      "open quantum",
      "exact results",
      "non-markovian noise",
      "quantum many-body systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 40,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}