{
  "annotation_id": "59437c9c-f540-4f4d-80c1-acfda052d331",
  "date_created": "2026-03-02T18:02:20.021000Z",
  "date_modified": "2026-03-02T18:02:20.021000Z",
  "file_hash": "03394a71a12874d30d9363ed44713981271e5b77174f55e693acaf458595aca4",
  "private": false,
  "record": {
    "abstract": "The time-convolutionless (TCL) projection operator technique allows a\nsystematic analysis of the non-Markovian quantum dynamics of open systems. We\nintroduce a class of projection superoperators which project the states of the\ntotal system onto certain correlated system-environment states. It is shown\nthat the application of the TCL technique to this class of correlated\nsuperoperators enables the non-perturbative treatment of the dynamics of\nsystem-environment models for which the standard approach fails in any finite\norder of the coupling strength. We demonstrate further that the correlated\nsuperoperators correspond to the idea of a best guess of conditional quantum\nexpectations which is determined by a suitable Hilbert space average. The\ngeneral approach is illustrated by means of the model of a spin which interacts\nthrough randomly distributed couplings with a finite reservoir consisting of\ntwo energy bands. Extensive numerical simulations of the full Schroedinger\nequation of the model reveal the power and efficiency of the method.",
    "arxiv_id": "quant-ph/0510177",
    "authors": [
      "Heinz-Peter Breuer",
      "Jochen Gemmer",
      "Mathias Michel"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevE.73.016139",
    "journal_ref": "Phys. Rev. E 73, 016139 (2006)",
    "title": "Non-Markovian quantum dynamics: Correlated projection superoperators and   Hilbert space averaging",
    "url": "https://arxiv.org/abs/quant-ph/0510177"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8ce62a49-f3fe-4afd-a3af-7190de2c9fee",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}