{
  "id": "1401.2354",
  "version": "v1",
  "published": "2014-01-10T14:57:03.000Z",
  "updated": "2014-01-10T14:57:03.000Z",
  "title": "Stability of Bose-Einstein condensates in a $\\mathcal{PT}$ symmetric double-$δ$ potential close to branch points",
  "authors": [
    "Andreas Löhle",
    "Holger Cartarius",
    "Daniel Haag",
    "Dennis Dast",
    "Jörg Main",
    "Günter Wunner"
  ],
  "comment": "6 pages, 4 figures",
  "journal": "Acta Polytechnica 54, 133 (2014)",
  "doi": "10.14311/AP.2014.54.0133",
  "categories": [
    "quant-ph",
    "cond-mat.quant-gas",
    "nlin.CD"
  ],
  "abstract": "A Bose-Einstein condensate trapped in a double-well potential, where atoms are incoupled to one side and extracted from the other, can in the mean-field limit be described by the nonlinear Gross-Pitaevskii equation (GPE) with a $\\mathcal{PT}$ symmetric external potential. If the strength of the in- and outcoupling is increased two $\\mathcal{PT}$ broken states bifurcate from the $\\mathcal{PT}$ symmetric ground state. At this bifurcation point a stability change of the ground state is expected. However, it is observed that this stability change does not occur exactly at the bifurcation but at a slightly different strength of the in-/outcoupling effect. We investigate a Bose-Einstein condensate in a $\\mathcal{PT}$ symmetric double-$\\delta$ potential and calculate the stationary states. The ground state's stability is analysed by means of the Bogoliubov-de Gennes equations and it is shown that the difference in the strength of the in-/outcoupling between the bifurcation and the stability change can be completely explained by the norm-dependency of the nonlinear term in the Gross-Pitaevskii equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-01-10T14:57:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bose-einstein condensate",
      "potential close",
      "branch points",
      "stability change",
      "ground states stability"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1401.2354L"
    }
  }
}