{
  "annotation_id": "136a73d0-8e5c-4483-b200-44e10346c4d0",
  "date_created": "2026-03-02T18:01:45.335000Z",
  "date_modified": "2026-03-02T18:01:45.335000Z",
  "file_hash": "a8a15f162a2c0cc99cc831b85868136309575b7dfe6bd831f6b075db93c77bee",
  "private": false,
  "record": {
    "abstract": "A recently proposed master equation in the Lindblad form is studied with\nrespect to covariance properties and existence of a stationary solution. The\nmaster equation describes the interaction of a test particle with a quantum\nfluid, the so-called Rayleigh gas, and is characterized by the appearance of a\ntwo-point correlation function known as dynamic structure factor, which\nreflects symmetry and statistical mechanics properties of the fluid. In the\ncase of a free gas all relevant physical parameters, such as fugacity, ratio\nbetween the masses, momentum transfer and energy transfer are put into\nevidence, giving an exact expansion of the dynamic structure factor. The limit\nin which these quantities are small is then considered. In particular in the\nBrownian limit a Fokker-Planck equation is obtained in which the corrections\ndue to quantum statistics can be explicitly evaluated and are given in terms of\nthe Bose function $g_0 (z)$ and the Fermi function $f_0 (z)$.",
    "arxiv_id": "quant-ph/0107009",
    "authors": [
      "B. Vacchini"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1063/1.1386409",
    "journal_ref": "J. Math. Phys. 42 (2001) 4291-4312",
    "title": "Translation-covariant Markovian master equation for a test particle in a   quantum fluid",
    "url": "https://arxiv.org/abs/quant-ph/0107009"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "85e735e2-c1b4-440d-aacc-6ae2f6970ebc",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}