{
  "id": "2302.05710",
  "version": "v1",
  "published": "2023-02-11T14:52:36.000Z",
  "updated": "2023-02-11T14:52:36.000Z",
  "title": "Non-Abelian generalization of non-Hermitian quasicrystal: PT-symmetry breaking, localization, entanglement and topological transitions",
  "authors": [
    "Longwen Zhou"
  ],
  "comment": "14 pages, 12 figures",
  "categories": [
    "quant-ph",
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "Non-Hermitian quasicrystal forms a unique class of matter with symmetry-breaking, localization and topological transitions induced by gain and loss or nonreciprocal effects. In this work, we introduce a non-Abelian generalization of the non-Hermitian quasicrystal, in which the interplay between non-Hermitian effects and non-Abelian quasiperiodic potentials create mobility edges and rich transitions among extended, critical and localized phases. These generic features are demonstrated by investigating three non-Abelian variants of the non-Hermitian Aubry-Andr\\'e-Harper model. A unified characterization is given to their spectrum, localization, entanglement and topological properties. Our findings thus add new members to the family of non-Hermitian quasicrystal and uncover unique physics that can be triggered by non-Abelian effects in non-Hermitian systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-02-11T14:52:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-hermitian quasicrystal",
      "non-abelian generalization",
      "topological transitions",
      "localization",
      "pt-symmetry breaking"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}