{
  "id": "0801.4323",
  "version": "v3",
  "published": "2008-01-28T16:05:52.000Z",
  "updated": "2008-03-18T11:47:05.000Z",
  "title": "Full Counting Statistics as the Geometry of Two Planes",
  "authors": [
    "Y. B. Sherkunov",
    "A. Pratap",
    "B. Muzykantskii",
    "N. d'Ambrumenil"
  ],
  "comment": "4 pages, 1 figure",
  "journal": "Phys. Rev. Lett. 100, 196601 (2008)",
  "doi": "10.1103/PhysRevLett.100.196601",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "Provided the measuring time is short enough, the full counting statistics (FCS) of the charge pumped across a barrier as a result of a series of voltage pulses are shown to be equivalent to the geometry of two planes. This formulation leads to the FCS without the need for the usual non-equilibrium (Keldysh) transport theory or the direct computation of the determinant of an infinite-dimensional matrix. In the particular case of the application of N Lorentzian pulses, we show the computation of the FCS reduces to the diagonalization of an N x N matrix. We also use the formulation to compute the core-hole response in the X-ray edge problem and the FCS for a square wave pulse-train for the case of low transmission.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-03-18T11:47:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "72.70.+m",
      "03.65.Ud",
      "73.23.-b"
    ],
    "keywords": [
      "full counting statistics",
      "square wave pulse-train",
      "x-ray edge problem",
      "low transmission",
      "core-hole response"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2008,
      "month": "May",
      "volume": 100,
      "number": 19,
      "pages": 196601
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008PhRvL.100s6601S"
    }
  }
}