{
  "id": "1010.1342",
  "version": "v1",
  "published": "2010-10-07T05:59:05.000Z",
  "updated": "2010-10-07T05:59:05.000Z",
  "title": "Resonant-state expansion of the Green's function of open quantum systems",
  "authors": [
    "Naomichi Hatano",
    "Gonzalo Ordonez"
  ],
  "comment": "7 pages, 7 figures. Submitted to International Journal of Theoretical Physics as an article in the Proceedings for PHHQP 2010 (http://www.math.zju.edu.cn/wjd/)",
  "doi": "10.1007/s10773-010-0576-y",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.stat-mech",
    "quant-ph"
  ],
  "abstract": "Our series of recent work on the transmission coefficient of open quantum systems in one dimension will be reviewed. The transmission coefficient is equivalent to the conductance of a quantum dot connected to leads of quantum wires. We will show that the transmission coefficient is given by a sum over all discrete eigenstates without a background integral. An apparent \"background\" is in fact not a background but generated by tails of various resonance peaks. By using the expression, we will show that the Fano asymmetry of a resonance peak is caused by the interference between various discrete eigenstates. In particular, an unstable resonance can strongly skew the peak of a nearby resonance.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-10-07T05:59:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "open quantum systems",
      "greens function",
      "resonant-state expansion",
      "transmission coefficient",
      "resonance peak"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "International Journal of Theoretical Physics",
      "year": 2011,
      "month": "Apr",
      "volume": 50,
      "number": 4,
      "pages": 1105
    },
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011IJTP...50.1105H"
    }
  }
}