{
  "id": "2109.02939",
  "version": "v1",
  "published": "2021-09-07T08:43:35.000Z",
  "updated": "2021-09-07T08:43:35.000Z",
  "title": "The self-energy of Friedrichs-Lee models and its application to bound states and resonances",
  "authors": [
    "Davide Lonigro"
  ],
  "comment": "20+9 pages, 5 figures",
  "categories": [
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "A system composed of two-level systems interacting with a single excitation of a one-dimensional boson field with continuous spectrum, described by a Friedrichs (or Friedrichs-Lee) model, can exhibit bound states and resonances; the latter can be characterized by computing the so-called self-energy of the model. We evaluate an analytic expression, valid for a large class of dispersion relations and coupling functions, for the self-energy of such models. Afterwards, we focus on the case of identical two-level systems, and we refine our analysis by distinguishing between dominant and suppressed contributions to the associated self-energy; we finally examine the phenomenology of bound states in the presence of a single dominant contribution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-09-07T08:43:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bound states",
      "friedrichs-lee models",
      "self-energy",
      "resonances",
      "application"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}