{
  "id": "2307.14340",
  "version": "v1",
  "published": "2023-07-26T17:59:15.000Z",
  "updated": "2023-07-26T17:59:15.000Z",
  "title": "Non-Hermitian tearing by dissipation",
  "authors": [
    "Qian Du",
    "Su-Peng Kou"
  ],
  "categories": [
    "cond-mat.mes-hall",
    "quant-ph"
  ],
  "abstract": "In the paper, we study the non-Hermitian system under dissipation in which the energy band shows an imaginary line gap and energy eigenstates are bound to a specific region. To describe these phenomena, we propose the concept of \"non-Hermitian tearing\", in which the degree of tearing we defined reveals a continuous phase transition at the exceptional point. The non-Hermitian tearing manifests in two forms -- bulk state separation and boundary state decoupling. For a deeper understanding of non-Hermitian tearing, we give the effective 2*2 Hamiltonian in the k-space by reducing the N*N Hamiltonian in the real space. In addition, we also explore the non-Hermitian tearing in the one-dimensional Su-Schrieffer-Heeger model and the Qi-Wu-Zhang model. Our results provide a theoretical approach for studying non-Hermitian tearing in more complex systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-07-26T17:59:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-hermitian tearing",
      "dissipation",
      "imaginary line gap",
      "one-dimensional su-schrieffer-heeger model",
      "bulk state separation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}