{
  "annotation_id": "9703e062-7d33-4ac0-9699-8e9ae3163c6e",
  "date_created": "2026-03-02T18:02:37.293000Z",
  "date_modified": "2026-03-02T18:02:37.293000Z",
  "file_hash": "194ffe8e66b4fc50602b0b8e24f19a05813ce10b2aa571b5c9c1eaa32201681e",
  "private": false,
  "record": {
    "abstract": "We consider the decoherence of phase space histories in a class of quantum\nBrownian motion models, consisting of a particle moving in a potential $V(x)$\nin interaction with a heat bath at temperature $T$ and dissipation gamma, in\nthe Markovian regime. The evolution of the density operator for this open\nsystem is thus described by a non-unitary master equation. The phase space\nhistories of the system are described by a class of quasiprojectors.\nGeneralizing earlier results of Hagedorn and Omn\\`es, we show that a phase\nspace projector onto a phase space cell $\\Gamma$ is approximately evolved under\nthe master equation into another phase space projector onto the classical\ndissipative evolution of $\\Gamma$, and with a certain amount of degradation due\nto the noise produced by the environment. We thus show that histories of phase\nspace samplings approximately decohere, and that the probabilities for these\nhistories are peaked about classical dissipative evolution, with a width of\npeaking depending on the size of the noise.",
    "arxiv_id": "quant-ph/9506031",
    "authors": [
      "C. Anastopoulos"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevE.53.4711",
    "journal_ref": "Phys.Rev. E53 (1996) 4711-4728",
    "title": "Decoherence and classical predictability of phase space histories",
    "url": "https://arxiv.org/abs/quant-ph/9506031"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bf459b23-86bc-4365-aef3-c6991525459c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}