{
  "id": "1002.4506",
  "version": "v2",
  "published": "2010-02-24T09:57:10.000Z",
  "updated": "2010-10-06T15:16:14.000Z",
  "title": "Counting statistics of transport through Coulomb blockade nanostructures: High-order cumulants and non-Markovian effects",
  "authors": [
    "Christian Flindt",
    "Tomas Novotny",
    "Alessandro Braggio",
    "Antti-Pekka Jauho"
  ],
  "comment": "27 pages, 8 figures, 1 table, final version as published in Phys. Rev. B",
  "journal": "Phys. Rev. B 82, 155407 (2010)",
  "doi": "10.1103/PhysRevB.82.155407",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "Recent experimental progress has made it possible to detect in real-time single electrons tunneling through Coulomb blockade nanostructures, thereby allowing for precise measurements of the statistical distribution of the number of transferred charges, the so-called full counting statistics. These experimental advances call for a solid theoretical platform for equally accurate calculations of distribution functions and their cumulants. Here we develop a general framework for calculating zero-frequency current cumulants of arbitrary orders for transport through nanostructures with strong Coulomb interactions. Our recursive method can treat systems with many states as well as non-Markovian dynamics. We illustrate our approach with three examples of current experimental relevance: bunching transport through a two-level quantum dot, transport through a nano-electromechanical system with dynamical Franck-Condon blockade, and transport through coherently coupled quantum dots embedded in a dissipative environment. We discuss properties of high-order cumulants as well as possible subtleties associated with non-Markovian dynamics.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-10-06T15:16:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "72.70.+m",
      "73.23.Hk",
      "02.50.Ey",
      "03.65.Yz"
    ],
    "keywords": [
      "coulomb blockade nanostructures",
      "high-order cumulants",
      "counting statistics",
      "non-markovian effects",
      "coupled quantum dots"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2010,
      "month": "Oct",
      "volume": 82,
      "number": 15,
      "pages": 155407
    },
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010PhRvB..82o5407F"
    }
  }
}