{
  "id": "1303.6427",
  "version": "v2",
  "published": "2013-03-26T10:28:21.000Z",
  "updated": "2013-06-26T19:01:44.000Z",
  "title": "Asymptotic behavior of nonlinear Schroedinger Systems with Linear Coupling",
  "authors": [
    "Paolo Antonelli",
    "Rada Maria Weishaeupl"
  ],
  "comment": "23 pages. Minor changes in the second version: Introduction modified, structure of the paper revised, some references added",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "A system of two coupled nonlinear Schroedinger equations is treated. In addition, a linear coupling which models an external driven field described by the Rabi frequency is considered. Asymptotics for large Rabi frequency are carried out. Convergence in the appropriate Strichartz space is proven. As a consequence, the global existence of the limiting system gives a criterion for the long time behavior of the original system.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-06-26T19:01:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q55",
      "35B40"
    ],
    "keywords": [
      "nonlinear schroedinger systems",
      "linear coupling",
      "asymptotic behavior",
      "long time behavior",
      "external driven field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1303.6427A"
    }
  }
}