{
  "id": "1803.06844",
  "version": "v1",
  "published": "2018-03-19T09:36:59.000Z",
  "updated": "2018-03-19T09:36:59.000Z",
  "title": "Revealing memory effects without solving the master equation",
  "authors": [
    "Jose Teittinen",
    "Henri Lyyra",
    "Boris Sokolov",
    "Sabrina Maniscalco"
  ],
  "comment": "19 pages, 1 figure",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We study and compare the sensitivity of multiple non-Markovianity indicators for a qubit subjected to general phase-covariant noise. For each of the indicators, we derive analytical conditions to detect the dynamics as non-Markovian. We present these conditions as relations between the time-dependent decay rates for the general open system dynamics and its commutative and unital subclasses. These relations tell directly if the dynamics is non-Markovian w.r.t. each indicator, without the need to explicitly solve the master equation. Moreover, with a shift in perspective, we show that if one assumes only the general form of the master equation, measuring the non-Markovianity indicators gives us directly non-trivial information on the relations between the unknown decay rates.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-03-19T09:36:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "master equation",
      "revealing memory effects",
      "general open system dynamics",
      "unknown decay rates",
      "multiple non-markovianity indicators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}