{
  "annotation_id": "01a9d64c-a95a-41a4-9718-185fb1d72500",
  "date_created": "2026-03-02T18:02:20.738000Z",
  "date_modified": "2026-03-02T18:02:20.738000Z",
  "file_hash": "e3040368d8555dca09c098ff225f035cc4239a8644ce43456f430a3715605e97",
  "private": false,
  "record": {
    "abstract": "A consistent description of interactions between classical and quantum\nsystems is relevant to quantum measurement theory, and to calculations in\nquantum chemistry and quantum gravity. A solution is offered here to this\nlongstanding problem, based on a universally-applicable formalism for ensembles\non configuration space. This approach overcomes difficulties arising in\nprevious attempts, and in particular allows for backreaction on the classical\nensemble, conservation of probability and energy, and the correct classical\nequations of motion in the limit of no interaction. Applications include\nautomatic decoherence for quantum ensembles interacting with classical\nmeasurement apparatuses; a generalisation of coherent states to hybrid harmonic\noscillators; and an equation for describing the interaction of quantum matter\nfields with classical gravity, that implies the radius of a Robertson-Walker\nuniverse with a quantum massive scalar field can be sharply defined only for\nparticular `quantized\u0027 values.",
    "arxiv_id": "quant-ph/0509134",
    "authors": [
      "Michael J. W. Hall",
      "Marcel Reginatto"
    ],
    "categories": [
      "quant-ph",
      "gr-qc"
    ],
    "doi": "10.1103/PhysRevA.72.062109",
    "journal_ref": "Phys.Rev. A72 (2005) 062109",
    "title": "Interacting classical and quantum ensembles",
    "url": "https://arxiv.org/abs/quant-ph/0509134"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "09e53e0e-c169-413d-b03c-75cd5a7bf017",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}