{
  "id": "2312.02423",
  "version": "v1",
  "published": "2023-12-05T01:52:36.000Z",
  "updated": "2023-12-05T01:52:36.000Z",
  "title": "Exceptional Points in a $\\mathcal{PT}$-symmetrical quantum system: a Scattering matrix approach",
  "authors": [
    "J. Colín-Gálvez",
    "E. Castaño",
    "G. Báez",
    "V. Domínguez-Rocha"
  ],
  "comment": "10 pages, 9 figures, 1 Appendix",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We analyze the behavior of a non-Hermitian opened one-dimensional quantum system with Parity-Time ($\\mathcal{PT}$) symmetry. This system is built by a dimer, which has balanced gains and losses described by a parameter $\\gamma$. By varying $\\gamma$ the system resonances, which are naturally separated, coalesce at the exceptional point (EP). The transmission spectrum is obteined by means of the scattering matrix ($S$ matrix) formalism and we examine the wave functions corresponding to the resonances as a function of $\\gamma$. Specifically, we look for the behavior and distribution of the phases of the S matrix before, at and after the exceptional point.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-12-05T01:52:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exceptional point",
      "symmetrical quantum system",
      "scattering matrix approach",
      "non-hermitian opened one-dimensional quantum system",
      "system resonances"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}