{
  "annotation_id": "39320a5d-e502-4e56-aa29-c0fd36088174",
  "date_created": "2026-03-02T18:02:00.201000Z",
  "date_modified": "2026-03-02T18:02:00.201000Z",
  "file_hash": "67740579586ffdbd53c83620fea4ec91815f361622346635816aea33e39180a0",
  "private": false,
  "record": {
    "abstract": "Time evolution of a harmonic oscillator linearly coupled to a heat bath is\ncompared for three classes of initial states for the bath modes - grand\ncanonical ensemble, number states and coherent states. It is shown that for a\nwide class of number states the behavior of the oscillator is similar to the\ncase of the equilibrium bath. If the bath modes are initially in coherent\nstates, then the variances of the oscillator coordinate and momentum, as well\nas its entanglement to the bath, asymptotically approach the same values as for\nthe oscillator at zero temperature and the average coordinate and momentum show\na Brownian-like behavior. We derive an exact master equation for the\ncharacteristic function of the oscillator valid for arbitrary factorized\ninitial conditions. In the case of the equilibrium bath this equation reduces\nto an equation of the Hu-Paz-Zhang type, while for the coherent states bath it\nleads to an exact stochastic master equation with a multiplicative noise.",
    "arxiv_id": "quant-ph/0306061",
    "authors": [
      "Andrey Pereverzev"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevE.68.026111",
    "journal_ref": "Phys. Rev. E 68, 026111 (2003)",
    "title": "Damped harmonic oscillator: pure states of the bath and exact master   equations",
    "url": "https://arxiv.org/abs/quant-ph/0306061"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "698c10c0-8b43-4228-a17a-3ca5f12fd8fd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}