{
  "annotation_id": "dff74208-120f-489e-ab5c-854f88cd7616",
  "date_created": "2026-03-02T18:01:38.853000Z",
  "date_modified": "2026-03-02T18:01:38.853000Z",
  "file_hash": "4daa6fa9d312d468c299227a2db1a864a7a1c8476886190b61eb47610e5de1fd",
  "private": false,
  "record": {
    "abstract": "It is shown that the Lorentz group is the natural language for two-beam\ninterferometers if there are no decoherence effects. This aspect of the\ninterferometer can be translated into six-parameter representations of the\nLorentz group, as in the case of polarization optics where there are two\northogonal components of one light beam. It is shown that there are groups of\ntransformations which leave the coherency or density matrix invariant, and this\nsymmetry property is formulated within the framework of Wigner\u0027s little groups.\nAn additional mathematical apparatus is needed for the transition from a pure\nstate to an impure state. Decoherence matrices are constructed for this\nprocess, and their properties are studied in detail. Experimental tests of this\nsymmetry property are possible.",
    "arxiv_id": "quant-ph/0003044",
    "authors": [
      "D. Han",
      "Y. S. Kim",
      "Marilyn E. Noz"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1103/PhysRevE.61.5907",
    "journal_ref": "Phys.Rev. E61 (2000) 5907-5913",
    "title": "Interferometers and Decoherence Matrices",
    "url": "https://arxiv.org/abs/quant-ph/0003044"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "79afdcc6-87d6-40c3-9df0-d2533c67ee31",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}