{
  "annotation_id": "30631581-1064-424f-9fd3-f2d8399ac129",
  "date_created": "2026-03-02T18:02:24.180000Z",
  "date_modified": "2026-03-02T18:02:24.180000Z",
  "file_hash": "9fabef57c2e6164060a0bd81eeabc39c84f5616d4ea278c7ef685ec4f9f61eaf",
  "private": false,
  "record": {
    "abstract": "We analyze some solvable models of a quantum mechanical system in interaction\nwith a reservoir when the initial state is not factorized. We apply\nNakajima-Zwanzig\u0027s projection method by choosing a reference state of the\nreservoir endowed with the mixing property. In van Hove\u0027s limit, the dynamics\nis described in terms of a master equation. We observe that Markovianity\nbecomes a valid approximation for timescales that depend both on the form\nfactors of the interaction and on the observables of the reservoir that can be\nmeasured.",
    "arxiv_id": "quant-ph/0602185",
    "authors": [
      "K. Yuasa",
      "S. Tasaki",
      "P. Facchi",
      "G. Kimura",
      "H. Nakazato",
      "I. Ohba",
      "S. Pascazio"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.aop.2006.06.003",
    "journal_ref": "Ann. Phys. 322 (2007) 657-676",
    "title": "On the Assumption of Initial Factorization in the Master Equation for   Weakly Coupled Systems II: Solvable Models",
    "url": "https://arxiv.org/abs/quant-ph/0602185"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c009c6d0-21c5-4c45-9d5b-02dd05dc9054",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}