{
  "id": "cond-mat/9811018",
  "version": "v1",
  "published": "1998-11-02T16:11:07.000Z",
  "updated": "1998-11-02T16:11:07.000Z",
  "title": "Universality of quantum Brownian motion",
  "authors": [
    "Eric Lutz",
    "Hans A. Weidenmueller"
  ],
  "comment": "24 pages",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "Are Markovian master equations for quantum Brownian motion independent of model assumptions used in the derivation and, thus, universal? With the aim of answering this question, we use a random band-matrix model for the system-bath interaction to derive Markovian master equations for the time evolution of one-dimensional quantum systems weakly coupled to a heat bath. We study in detail two simple systems, the harmonic oscillator and the two-level system. Our results are in complete agreement with those of earlier models, like the Caldeira-Legget model and, in the large-band limit, with the Agarwal equations (both with and without rotating-wave approximation). This proves the universality of these master equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-11-02T16:11:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "universality",
      "quantum brownian motion independent",
      "random band-matrix model",
      "one-dimensional quantum systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}