{
  "annotation_id": "5d669139-6367-41a5-9976-6eaf1dfbe50a",
  "date_created": "2026-03-02T18:01:48.898000Z",
  "date_modified": "2026-03-02T18:01:48.898000Z",
  "file_hash": "a090cbe80aedfc5b303ac532df5aae9d3ef7ef41d30c98cef3f1337b81b5c541",
  "private": false,
  "record": {
    "abstract": "The shape and the inverse participation ratio (IPR) of local spectral density\n(LSD) are studied for a generic isolated system of coupled quantum states, the\nHamiltonian of which is represented by a band random matrix with the disordered\nleading diagonal. We find for the matrices with arbitrary small band that the\nlack of ergodicity for LSD can be associated with an exponential increase in\nIPR with the ratio $v/\\Delta_c$ ($v$ - the root of mean square for off-diagonal\nmatrix elements, $\\Delta_c$ - the energy spacing between directly coupled basis\nstates). Criterions specifying transition to localization and ergodicity for\nLSD are considered.",
    "arxiv_id": "quant-ph/0203071",
    "authors": [
      "V. S. Starovoitov"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.mes-hall",
      "nlin.CD"
    ],
    "doi": "10.1088/0305-4470/35/16/303",
    "title": "Ergodic Properties of Local Spectral Density for a Conservative System   of Coupled Quantum States",
    "url": "https://arxiv.org/abs/quant-ph/0203071"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "938a48e1-e99c-4d83-92eb-c0ec4dfbee05",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}