{
  "id": "0907.3848",
  "version": "v3",
  "published": "2009-07-22T14:11:50.000Z",
  "updated": "2009-09-21T18:48:23.000Z",
  "title": "Time ordering and counting statistics",
  "authors": [
    "S. Bachmann",
    "G. M. Graf",
    "G. B. Lesovik"
  ],
  "comment": "19 pages, 1 figure; inconsequential mistake and typos corrected",
  "categories": [
    "cond-mat.mes-hall",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The basic quantum mechanical relation between fluctuations of transported charge and current correlators is discussed. It is found that, as a rule, the correlators are to be time-ordered in an unusual way. Instances where the difference with the conventional ordering matters are illustrated by means of a simple scattering model. We apply the results to resolve a discrepancy concerning the third cumulant of charge transport across a quantum point contact.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-09-21T18:48:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "counting statistics",
      "time ordering",
      "basic quantum mechanical relation",
      "quantum point contact",
      "current correlators"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s10955-009-9885-z",
      "journal": "Journal of Statistical Physics",
      "year": 2010,
      "month": "Feb",
      "volume": 138,
      "number": "1-3",
      "pages": 333
    },
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010JSP...138..333B"
    }
  }
}