{
  "id": "1405.6890",
  "version": "v1",
  "published": "2014-05-27T12:50:34.000Z",
  "updated": "2014-05-27T12:50:34.000Z",
  "title": "Overlapping Resonances in Open Quantum Systems",
  "authors": [
    "Marco Merkli",
    "Haifeng Song"
  ],
  "comment": "Annales Henri Poincare 2014",
  "categories": [
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "An $N$-level quantum system is coupled to a bosonic heat reservoir at positive temperature. We analyze the system-reservoir dynamics in the following regime: The strength $\\lambda$ of the system-reservoir coupling is fixed and small, but larger than the spacing $\\sigma$ of system energy levels. For vanishing $\\sigma$ there is a manifold of invariant system-reservoir states and for $\\sigma>0$ the only invariant state is the joint equilibrium. The manifold is invariant for $\\sigma=0$ but becomes quasi-invariant for $\\sigma>0$. Namely, on a first time-scale of the order $1/\\lambda^2$, initial states approach the manifold. Then they converge to the joint equilibrium state on a much larger time-scale of the order $\\lambda^2/\\sigma^2$. We give a detailed expansion of the system-reservoir evolution showing the above scenario.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-05-27T12:50:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82C10",
      "81S22"
    ],
    "keywords": [
      "open quantum systems",
      "overlapping resonances",
      "initial states approach",
      "level quantum system",
      "system energy levels"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015AnHP...16.1397M"
    }
  }
}