{
  "id": "1903.07324",
  "version": "v1",
  "published": "2019-03-18T09:30:32.000Z",
  "updated": "2019-03-18T09:30:32.000Z",
  "title": "Open Quantum System Dynamics: recovering positivity of the Redfield equation via Partial-Secular Approximation",
  "authors": [
    "Donato Farina",
    "Vittorio Giovannetti"
  ],
  "categories": [
    "quant-ph",
    "cond-mat.mes-hall"
  ],
  "abstract": "We show how to recover complete positivity (and hence positivity) of the Redfield equation via a coarse grain average technique. We derive general bounds for the coarse graining time scale above which the positivity of the Redfield equation is guaranteed. It turns out that a coarse grain time scale has strong impact on the characteristics of the Lamb shift term and implies in general non-commutation between the dissipating and the Hamiltonian components of the generator of the dynamical semi-group. Finally we specify the analysis to a two-level system or a quantum harmonic oscillator coupled to a fermionic or bosonic thermal environment via dipole-like interaction.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-18T09:30:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "open quantum system dynamics",
      "redfield equation",
      "partial-secular approximation",
      "recovering positivity",
      "coarse grain time scale"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}