{
  "id": "2204.03966",
  "version": "v1",
  "published": "2022-04-08T09:47:28.000Z",
  "updated": "2022-04-08T09:47:28.000Z",
  "title": "Local and non-local properties of the entanglement Hamiltonian for two disjoint intervals",
  "authors": [
    "Viktor Eisler",
    "Erik Tonni",
    "Ingo Peschel"
  ],
  "comment": "33 pages, 9 figures",
  "categories": [
    "cond-mat.stat-mech",
    "hep-th",
    "quant-ph"
  ],
  "abstract": "We consider free-fermion chains in the ground state and the entanglement Hamiltonian for a subsystem consisting of two separated intervals. In this case, one has a peculiar long-range hopping between the intervals in addition to the well-known and dominant short-range hopping. We show how the continuum expressions can be recovered from the lattice results for general filling and arbitrary intervals. We also discuss the closely related case of a single interval located at a certain distance from the end of a semi-infinite chain and the continuum limit for this problem. Finally, we show that for the double interval in the continuum a commuting operator exists which can be used to find the eigenstates.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-08T09:47:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "entanglement hamiltonian",
      "disjoint intervals",
      "non-local properties",
      "continuum limit",
      "dominant short-range"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}