{
  "annotation_id": "f31627f8-1871-4e78-a2c4-56cc157f78e3",
  "date_created": "2026-03-02T18:02:12.913000Z",
  "date_modified": "2026-03-02T18:02:12.913000Z",
  "file_hash": "d75aac3946357e0573277dfca15360ded5da1d386d525cbcedb833cee54f7a10",
  "private": false,
  "record": {
    "abstract": "Careful monitoring of harmonically bound (or as a limiting case, free) masses\nis the basis of current and future gravitational wave detectors, and of\nnanomechanical devices designed to access the quantum regime. We analyze the\neffects of stochastic localization models for state vector reduction, and of\nrelated models for environmental decoherence, on such systems, focusing our\nanalysis on the non-dissipative forced harmonic oscillator, and its free mass\nlimit. We derive an explicit formula for the time evolution of the expectation\nof a general operator in the presence of stochastic reduction or\nenvironmentally induced decoherence, for both the non-dissipative harmonic\noscillator and the free mass. In the case of the oscillator, we also give a\nformula for the time evolution of the matrix element of the stochastic\nexpectation density matrix between general coherent states. We show that the\nstochastic expectation of the variance of a Hermitian operator in any\nunraveling of the stochastic process is bounded by the variance computed from\nthe stochastic expectation of the density matrix, and we develop a formal\nperturbation theory for calculating expectation values of operators within any\nunraveling. Applying our results to current gravitational wave interferometer\ndetectors and nanomechanical systems, we conclude that the deviations from\nquantum mechanics predicted by the continuous spontaneous localization (CSL)\nmodel of state vector reduction are at least five orders of magnitude below the\nrelevant standard quantum limits for these experiments. The proposed LISA\ngravitational wave detector will be two orders of magnitude away from the\ncapability of observing an effect.",
    "arxiv_id": "quant-ph/0411053",
    "authors": [
      "Stephen L. Adler"
    ],
    "categories": [
      "quant-ph",
      "hep-ph"
    ],
    "doi": "10.1088/0305-4470/38/12/014",
    "journal_ref": "J.Phys. A38 (2005) 2729-2760",
    "title": "Stochastic Collapse and Decoherence of a Non-Dissipative Forced Harmonic   Oscillator",
    "url": "https://arxiv.org/abs/quant-ph/0411053"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4a750a00-071b-49c1-afb9-da96109ff7cc",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}