{
  "id": "2112.13411",
  "version": "v2",
  "published": "2021-12-26T16:17:04.000Z",
  "updated": "2022-03-21T08:23:50.000Z",
  "title": "Quantum Entanglement of Non-Hermitian Quasicrystals",
  "authors": [
    "Li-Mei Chen",
    "Yao Zhou",
    "Shuai A. Chen",
    "Peng Ye"
  ],
  "comment": "Accepted by Phys. Rev. B (Letter). New data in SM added, references updated",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.quant-gas",
    "physics.optics",
    "quant-ph"
  ],
  "abstract": "As a hallmark of pure quantum effect, quantum entanglement has provided unconventional routes to condensed matter systems. Here, from the perspective of quantum entanglement, we disclose exotic quantum physics in non-Hermitian quasicrystals. We present a class of experimentally realizable models for non-Hermitian quasicrystal chains, in which asymmetric hopping and complex potential coexist. We diagnose global phase diagram by means of entanglement from both real-space and momentum-space partition. By measuring entanglement entropy, we numerically determine the metal-insulator transition point. We combine real-space and momentum-space entanglement spectra to complementarily characterize the delocalization phase and the localization phase. Inspired by entanglement spectrum, we further analytically prove that a duality exists between the two phase regions. The transition point is self-dual and exact, further validating the numerical result from diagonalizing non-Hermitian matrices. Finally, we identify mobility edge by means of entanglement.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-03-21T08:23:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum entanglement",
      "disclose exotic quantum physics",
      "diagnose global phase diagram",
      "entanglement spectrum",
      "complex potential coexist"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}