{
  "id": "1406.5967",
  "version": "v1",
  "published": "2014-06-23T16:22:14.000Z",
  "updated": "2014-06-23T16:22:14.000Z",
  "title": "Systems of coupled PT-symmetric oscillators",
  "authors": [
    "Carl M. Bender",
    "Mariagiovanna Gianfreda",
    "S. P. Klevansky"
  ],
  "comment": "18 pages, 9 figures",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "The Hamiltonian for a PT-symmetric chain of coupled oscillators is constructed. It is shown that if the loss-gain parameter $\\gamma$ is uniform for all oscillators, then as the number of oscillators increases, the region of unbroken PT-symmetry disappears entirely. However, if $\\gamma$ is localized in the sense that it decreases for more distant oscillators, then the unbroken-PT-symmetric region persists even as the number of oscillators approaches infinity. In the continuum limit the oscillator system is described by a PT-symmetric pair of wave equations, and a localized loss-gain impurity leads to a pseudo-bound state. It is also shown that a planar configuration of coupled oscillators can have multiple disconnected regions of unbroken PT symmetry.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-23T16:22:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.30.Er",
      "03.65.-w",
      "02.30.Mv",
      "11.10.Lm"
    ],
    "keywords": [
      "coupled pt-symmetric oscillators",
      "unbroken pt symmetry",
      "coupled oscillators",
      "oscillators approaches infinity",
      "unbroken-pt-symmetric region persists"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1103/PhysRevA.90.022114",
      "journal": "Physical Review A",
      "year": 2014,
      "month": "Aug",
      "volume": 90,
      "number": 2,
      "pages": "022114"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1302440,
      "adsabs": "2014PhRvA..90b2114B"
    }
  }
}