{
  "id": "cond-mat/0606126",
  "version": "v3",
  "published": "2006-06-05T21:00:04.000Z",
  "updated": "2007-08-04T17:41:01.000Z",
  "title": "Two-Point Entanglement Near a Quantum Phase Transition",
  "authors": [
    "Han-Dong Chen"
  ],
  "comment": "published version",
  "journal": "J. Phys. A: Math. Theor. 40 (2007) 10215-10224",
  "doi": "10.1088/1751-8113/40/33/017",
  "categories": [
    "cond-mat.stat-mech",
    "quant-ph"
  ],
  "abstract": "In this work, we study the two-point entanglement S(i,j), which measures the entanglement between two separated degrees of freedom (ij) and the rest of system, near a quantum phase transition. Away from the critical point, S(i,j) saturates with a characteristic length scale $\\xi_E$, as the distance |i-j| increases. The entanglement length $\\xi_E$ agrees with the correlation length. The universality and finite size scaling of entanglement are demonstrated in a class of exactly solvable one dimensional spin model. By connecting the two-point entanglement to correlation functions in the long range limit, we argue that the prediction power of a two-point entanglement is universal as long as the two involved points are separated far enough.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2007-08-04T17:41:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum phase transition",
      "two-point entanglement",
      "characteristic length scale",
      "dimensional spin model",
      "long range limit"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}