{
  "id": "1206.4806",
  "version": "v1",
  "published": "2012-06-21T08:17:17.000Z",
  "updated": "2012-06-21T08:17:17.000Z",
  "title": "Stationary states of a PT-symmetric two-mode Bose-Einstein condensate",
  "authors": [
    "Eva-Maria Graefe"
  ],
  "comment": "13 pages, 4 figures",
  "journal": "J. Phys. A: Math. Theor. 45 (2012) 444015",
  "doi": "10.1088/1751-8113/45/44/444015",
  "categories": [
    "quant-ph",
    "cond-mat.quant-gas"
  ],
  "abstract": "The understanding of nonlinear PT-symmetric quantum systems, arising for example in the theory of Bose-Einstein condensates in PT-symmetric potentials, is widely based on numerical investigations, and little is known about generic features induced by the interplay of PT-symmetry and nonlinearity. To gain deeper insights it is important to have analytically solvable toy-models at hand. In the present paper the stationary states of a simple toy-model of a PT-symmetric system are investigated. The model can be interpreted as a simple description of a Bose-Einstein condensate in a PT-symmetric double well trap in a two-mode approximation. The eigenvalues and eigenstates of the system can be explicitly calculated in a straight forward manner; the resulting structures resemble those that have recently been found numerically for a more realistic PT-symmetric double delta potential. In addition, a continuation of the system is introduced that allows an interpretation in terms of a simple linear matrix model.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-06-21T08:17:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "pt-symmetric two-mode bose-einstein condensate",
      "stationary states",
      "nonlinear pt-symmetric quantum systems",
      "simple linear matrix model",
      "realistic pt-symmetric double delta potential"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2012,
      "month": "Nov",
      "volume": 45,
      "number": 44,
      "pages": 444015
    },
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012JPhA...45R4015G"
    }
  }
}