{
  "annotation_id": "5fd15e83-a245-4e54-ad00-248013593fb0",
  "date_created": "2026-03-02T18:02:44.523000Z",
  "date_modified": "2026-03-02T18:02:44.523000Z",
  "file_hash": "c1bcd3379095ad274d4deb9f6fee90efb6bd1002046dbeceb4140dce3bf7f43b",
  "private": false,
  "record": {
    "abstract": "The damped harmonic oscillator is a workhorse for the study of dissipation in\nquantum mechanics. However, despite its simplicity, this system has given rise\nto some approximations whose validity and relation to more refined descriptions\ndeserve a thorough investigation. In this work, we apply a method that allows\nus to diagonalize exactly the dissipative Hamiltonians that are frequently\nadopted in the literature. Using this method we derive the conditions of\nvalidity of the rotating-wave approximation (RWA) and show how this approximate\ndescription relates to more general ones. We also show that the existence of\ndissipative coherent states is intimately related to the RWA. Finally, through\nthe evaluation of the dynamics of the damped oscillator, we notice an important\nproperty of the dissipative model that has not been properly accounted for in\nprevious works; namely, the necessity of new constraints to the application of\nthe factorizable initial conditions.",
    "arxiv_id": "quant-ph/9903022",
    "authors": [
      "M. Rosenau da Costa",
      "A. O. Caldeira",
      "S. M. Dutra",
      "H. Westfahl Jr"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.61.022107",
    "journal_ref": "Phys. Rev. A 61, 022107, 2000",
    "title": "Exact Diagonalization of Two Quantum Models for the Damped Harmonic   Oscillator",
    "url": "https://arxiv.org/abs/quant-ph/9903022"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f3f61253-9257-4b77-a480-a37517c57b6c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}