{
  "id": "1310.0559",
  "version": "v2",
  "published": "2013-10-02T03:41:20.000Z",
  "updated": "2013-12-06T04:00:24.000Z",
  "title": "Stochastic Bloch-Redfield theory: quantum jumps in a solid-state environment",
  "authors": [
    "Nicolas Vogt",
    "Jan Jeske",
    "Jared H. Cole"
  ],
  "comment": "12 pages, 7 figures",
  "journal": "Phys. Rev. B 88, 174514 (2013)",
  "doi": "10.1103/PhysRevB.88.174514",
  "categories": [
    "cond-mat.mes-hall",
    "quant-ph"
  ],
  "abstract": "We discuss mapping the Bloch-Redfield master-equation to Lindblad form and then unravelling the resulting evolution into a stochastic Schr\\\"odinger equation according to the quantum-jump method. We give two approximations under which this mapping is valid. This approach enables us to study solid-state-systems of much larger sizes than is possible with the standard Bloch-Redfield master-equation, while still providing a systematic method for obtaining the jump operators and corresponding rates. We also show how the stochastic unravelling of the Bloch-Redfield equations becomes the kinetic Monte Carlo (KMC) algorithm in the secular approximation when the system-bath-coupling operators are given by tunnelling-operators between system-eigenstates. The stochastic unravelling is compared to the conventional Bloch-Redfield approach with the superconducting single electron transistor (SSET) as an example.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-12-06T04:00:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Yz",
      "73.23.Hk",
      "03.67.Lx"
    ],
    "keywords": [
      "stochastic bloch-redfield theory",
      "quantum jumps",
      "solid-state environment",
      "superconducting single electron transistor",
      "conventional bloch-redfield approach"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2013,
      "month": "Nov",
      "volume": 88,
      "number": 17,
      "pages": 174514
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013PhRvB..88q4514V"
    }
  }
}