{
  "id": "2004.02700",
  "version": "v1",
  "published": "2020-04-06T14:29:04.000Z",
  "updated": "2020-04-06T14:29:04.000Z",
  "title": "Stability of the enhanced area law of the entanglement entropy",
  "authors": [
    "Peter Müller",
    "Ruth Schulte"
  ],
  "categories": [
    "math-ph",
    "math.MP",
    "math.SP"
  ],
  "abstract": "We consider a multi-dimensional continuum Schr\\\"odinger operator which is given by a perturbation of the negative Laplacian by a compactly supported potential. We establish both an upper and a lower bound on the bipartite entanglement entropy of the ground state of the corresponding quasi-free Fermi gas. The bounds prove that the scaling behaviour of the entanglement entropy remains a logarithmically enhanced area law as in the unperturbed case of the free Fermi gas. The central idea for the upper bound is to use a limiting absorption principle for such kinds of Schr\\\"odinger operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-06T14:29:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bipartite entanglement entropy",
      "corresponding quasi-free fermi gas",
      "entanglement entropy remains",
      "logarithmically enhanced area law",
      "absorption principle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}