{
  "id": "1805.09860",
  "version": "v1",
  "published": "2018-05-24T19:23:45.000Z",
  "updated": "2018-05-24T19:23:45.000Z",
  "title": "Single-electron $G^{(2)}$ function at nonzero temperatures",
  "authors": [
    "Michael Moskalets"
  ],
  "comment": "main text - 6 pages; appendices - 7 pages; 3 figures",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "The single-particle state is not expected to demonstrate second-order coherence. This proposition, correct in the case of a pure quantum state, is not verified in the case of a mixed state. Here I analyze the consequences of this fact for the second-order correlation function, $G ^{(2)}$, of electrons injected on top of the Fermi sea with nonzero temperature. At zero temperature, the function $G ^{(2)}$ unambiguously demonstrates whether the injected state is a single- or a multi-particle state: $G^{(2)}_{}$ vanishes in the former case, while it does not vanish in the latter case. However, at nonzero temperatures, when the quantum state of injected electrons is a mixed state, the purely single-particle contribution makes the function $G ^{(2)}_{}$ to be non vanishing even in the case of a single-electron injection. The single-particle contribution puts the lower limit to the second-order correlation function of electrons injected into conductors at nonzero temperatures. The existence of a single-particle contribution to $G ^{(2)}_{}$ can be verified experimentally by measuring the cross-correlation electrical noise.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-24T19:23:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonzero temperature",
      "single-particle contribution",
      "second-order correlation function",
      "single-electron",
      "mixed state"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}