{
  "id": "1907.02084",
  "version": "v1",
  "published": "2019-07-03T18:00:38.000Z",
  "updated": "2019-07-03T18:00:38.000Z",
  "title": "Symmetry resolved entanglement in free fermionic systems",
  "authors": [
    "Riccarda Bonsignori",
    "Paola Ruggiero",
    "Pasquale Calabrese"
  ],
  "comment": "25 pages, 6 figures",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.quant-gas",
    "hep-th",
    "quant-ph"
  ],
  "abstract": "We consider the symmetry resolved R\\'enyi entropies in the one dimensional tight binding model, equivalent to the spin-1/2 XX chain in a magnetic field. We exploit the generalised Fisher-Hartwig conjecture to obtain the asymptotic behaviour of the entanglement entropies with a flux charge insertion at leading and subleading orders. The o(1) contributions are found to exhibit a rich structure of oscillatory behaviour. We then use these results to extract the symmetry resolved entanglement, determining exactly all the non-universal constants and logarithmic corrections to the scaling that are not accessible to the field theory approach. We also discuss how our results are generalised to a one-dimensional free fermi gas.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-03T18:00:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "symmetry resolved entanglement",
      "free fermionic systems",
      "one-dimensional free fermi gas",
      "symmetry resolved renyi entropies",
      "dimensional tight binding model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}