{
  "id": "1310.8372",
  "version": "v1",
  "published": "2013-10-31T03:15:09.000Z",
  "updated": "2013-10-31T03:15:09.000Z",
  "title": "Scaling of entanglement entropy in the (branching) multi-scale entanglement renormalization ansatz",
  "authors": [
    "Glen Evenbly",
    "Guifre Vidal"
  ],
  "comment": "17 pages, 14 figures",
  "journal": "Phys. Rev. B 89, 235113 (2014)",
  "doi": "10.1103/PhysRevB.89.235113",
  "categories": [
    "quant-ph",
    "cond-mat.str-el"
  ],
  "abstract": "We investigate the scaling of entanglement entropy in both the multi-scale entanglement renormalization ansatz (MERA) and in its generalization, the branching MERA. We provide analytical upper bounds for this scaling, which take the general form of a boundary law with various types of multiplicative corrections, including power-law corrections all the way to a bulk law. For several cases of interest, we also provide numerical results that indicate that these upper bounds are saturated to leading order. In particular we establish that, by a suitable choice of holographic tree, the branching MERA can reproduce the logarithmic multiplicative correction of the boundary law observed in Fermi liquids and spin-Bose metals in $D\\geq 2$ dimensions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-31T03:15:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.30.-d",
      "02.70.-c",
      "03.67.Mn",
      "75.10.Jm"
    ],
    "keywords": [
      "multi-scale entanglement renormalization ansatz",
      "entanglement entropy",
      "boundary law",
      "branching mera",
      "multiplicative correction"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2014,
      "month": "Jun",
      "volume": 89,
      "number": 23,
      "pages": 235113
    },
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014PhRvB..89w5113E"
    }
  }
}