{
  "annotation_id": "c643ec17-c2b2-4bc2-903a-9d1a2e6e0b21",
  "date_created": "2026-03-02T18:01:42.459000Z",
  "date_modified": "2026-03-02T18:01:42.459000Z",
  "file_hash": "7734a1f33cf1607eca8c6431bbc98aab4bc1833adc110ca96f4ade810088c76e",
  "private": false,
  "record": {
    "abstract": "We study the time evolution of an initially excited many-body state in a\nfinite system of interacting Fermi-particles in the situation when the\ninteraction gives rise to the ``chaotic\u0027\u0027 structure of compound states. This\nsituation is generic for highly excited many-particle states in quantum\nsystems, such as heavy nuclei, complex atoms, quantum dots, spin systems, and\nquantum computers. For a strong interaction the leading term for the return\nprobability $W(t)$ has the form $W(t)\\simeq \\exp (-\\Delta_E^2t^2)$ with\n$\\Delta_E^2$ as the variance of the strength function. The conventional\nexponential linear dependence $W(t)=C\\exp (-\\Gamma t)$ formally arises for a\nvery large time. However, the prefactor $C$ turns out to be exponentially\nlarge, thus resulting in a strong difference from the conventional estimate for\n$W(t)$.",
    "arxiv_id": "quant-ph/0102088",
    "authors": [
      "V. V. Flambaum",
      "F. M. Izrailev"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.stat-mech",
      "nlin.CD",
      "nucl-th",
      "physics.atom-ph"
    ],
    "doi": "10.1103/PhysRevE.64.026124",
    "journal_ref": "Phys.Rev.E64:026124,2001",
    "title": "Unconventional decay law for excited states in closed many-body systems",
    "url": "https://arxiv.org/abs/quant-ph/0102088"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cc220dcb-8090-4d9d-b93d-a8e062fa959e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}