{
  "id": "1701.05024",
  "version": "v1",
  "published": "2017-01-18T12:06:57.000Z",
  "updated": "2017-01-18T12:06:57.000Z",
  "title": "Dissipation in open quantum systems",
  "authors": [
    "L. Ferialdi"
  ],
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Caldeira and Leggett (CL) in a seminal paper derived a master equation describing Markovian Quantum Brownian motion. Such an equation suffered of not being completely positive, and many efforts have been made to solve this issue. We show that, when a careful mathematical analysis is performed, the model considered by CL leads to a non dissipative master equation. We argue that the correct way to understand the master equation derived in the CL regime is to consider it non-Markovian. Moreover, we show that if one wants to provide a microscopic description of Quantum Brownian motion one always needs to consider a non-Markovian dynamics. We conclude that dissipation is a genuinely non-Markovian feature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-18T12:06:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "open quantum systems",
      "dissipation",
      "markovian quantum brownian motion",
      "non-markovian",
      "non dissipative master equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}