{
  "annotation_id": "c65b28fa-899b-421b-8e64-6f95405b605b",
  "date_created": "2026-03-02T18:02:34.668000Z",
  "date_modified": "2026-03-02T18:02:34.668000Z",
  "file_hash": "a0e85f22ebf1a593eedc72135ecf9c74dca634e182242ee791a57f9bb2a94379",
  "private": false,
  "record": {
    "abstract": "In this paper we derive an extra class of non-Markovian master equations\nwhere the system state is written as a sum of auxiliary matrixes whose\nevolution involve Lindblad contributions with local coupling between all of\nthem, resembling the structure of a classical rate equation. The system\ndynamics may develops strong non-local effects such as the dependence of the\nstationary properties with the system initialization. These equations are\nderived from alternative microscopic interactions, such as complex environments\ndescribed in a generalized Born-Markov approximation and tripartite\nsystem-environment interactions, where extra unobserved degrees of freedom\nmediates the entanglement between the system and a Markovian reservoir.\nConditions that guarantees the completely positive condition of the solution\nmap are found. Quantum stochastic processes that recover the system dynamics in\naverage are formulated. We exemplify our results by analyzing the dynamical\naction of non-trivial structured dephasing and depolarizing reservoirs over a\nsingle qubit.",
    "arxiv_id": "quant-ph/0611222",
    "authors": [
      "Adrian A. Budini"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.74.053815",
    "journal_ref": "Phys. Rev. A 74, 053815 (2006)",
    "title": "Lindblad rate equations",
    "url": "https://arxiv.org/abs/quant-ph/0611222"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "27e6b923-b444-49a5-a5d4-bb6a7f9c8046",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}