{
  "id": "2010.09510",
  "version": "v1",
  "published": "2020-10-19T13:45:13.000Z",
  "updated": "2020-10-19T13:45:13.000Z",
  "title": "Anderson localization transition in a robust $\\mathcal{PT}$-symmetric phase of a generalized Aubry-Andre model",
  "authors": [
    "Sebastian Schiffer",
    "Xia-Ji Liu",
    "Hui Hu",
    "Jia Wang"
  ],
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.quant-gas",
    "quant-ph"
  ],
  "abstract": "We study a generalized Aubry-Andre model that obeys $\\mathcal{PT}$-symmetry. We observe a robust $\\mathcal{PT}$-symmetric phase with respect to system size and disorder strength, where all eigenvalues are real despite the Hamiltonian being non-unitary. This robust $\\mathcal{PT}$-symmetric phase can support an Anderson localization transition, giving a rich phase diagram as a result of the interplay between disorder and $\\mathcal{PT}$-symmetry. Our model provides a perfect platform to study disorder-driven localization phenomena in a $\\mathcal{PT}$-symmetric system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-19T13:45:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "anderson localization transition",
      "generalized aubry-andre model",
      "symmetric phase",
      "study disorder-driven localization phenomena",
      "rich phase diagram"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}