{
  "annotation_id": "0e5aea68-af2c-4a12-b4d0-d64464ce0fcd",
  "date_created": "2026-03-02T18:02:38.025000Z",
  "date_modified": "2026-03-02T18:02:38.025000Z",
  "file_hash": "070adefb1bc8e1b84f292ab78c5483354136486aeb0db2c1be125d91f63f5de5",
  "private": false,
  "record": {
    "abstract": "It has long been recognized that the dynamics of linear quantum systems is\nclassical in the Wigner representation. Yet many conceptually important linear\nproblems are typically analyzed using such generally applicable techniques as\ninfluence functionals and Bogoliubov transformations. In this Letter we point\nout that the classical equations of motion provide a simpler and more intuitive\nformalism for linear quantum systems. We examine the important problem of\nBrownian motion in the independent oscillator model, and show that the quantum\ndynamics is described directly and completely by a c-number Langevin equation.\nWe are also able to apply recent insights into quantum Brownian motion to show\nthat the classical Fokker-Planck equation is always local in time, regardless\nof the spectral density of the environment.",
    "arxiv_id": "quant-ph/9507011",
    "authors": [
      "James Anglin",
      "Salman Habib"
    ],
    "categories": [
      "quant-ph",
      "cond-mat",
      "gr-qc"
    ],
    "doi": "10.1142/S0217732396002654",
    "journal_ref": "Mod.Phys.Lett.A11:2655-2662,1996",
    "title": "Classical Dynamics for Linear Systems: The Case of Quantum Brownian   Motion",
    "url": "https://arxiv.org/abs/quant-ph/9507011"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6216bec9-8088-4980-9cd6-ff392ae5c4b1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}