{
  "id": "2304.03083",
  "version": "v1",
  "published": "2023-04-06T14:08:45.000Z",
  "updated": "2023-04-06T14:08:45.000Z",
  "title": "Quantum resonances and analysis of the survival amplitude in the nonlinear Winter's model",
  "authors": [
    "Andrea Sacchetti"
  ],
  "comment": "31 pages, 8 figures",
  "categories": [
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "In this paper we show that the typical effects of quantum resonances, namely, the exponential-type decay of the survival amplitude, continue to exist even when a nonlinear perturbative term is added to the time-dependent Schroedinger equation. The difficulty in giving a rigorous and appropriate definition of quantum resonances by means of the notions already used for linear equations is also highlighted.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-04-06T14:08:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum resonances",
      "nonlinear winters model",
      "survival amplitude",
      "time-dependent schroedinger equation",
      "linear equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}