{
  "annotation_id": "4becc7bc-893f-4463-9644-3a42cbec2a83",
  "date_created": "2026-03-02T18:00:21.982000Z",
  "date_modified": "2026-03-02T18:00:21.982000Z",
  "file_hash": "8780b1af54e99698417e963862604136db74f803d91aeb96ce5fa68ae8c21783",
  "private": false,
  "record": {
    "abstract": "We present a theory for the dynamical evolution of a quantum system coupled\nto a complex many-body intrinsic system/environment. By modelling the intrinsic\nmany-body system with parametric random matrices, we study the types of\neffective stochastic models which emerge from random matrix theory. Using the\nFeynman-Vernon path integral formalism, we derive the influence functional and\nobtain either analytical or numerical solutions for the time evolution of the\nentire quantum system. We discuss thoroughly the structure of the solutions for\nsome representative cases and make connections to well known limiting results,\nparticularly to Brownian motion, Kramers classical limit and the\nCaldeira-Leggett approach.",
    "arxiv_id": "nucl-th/9711021",
    "authors": [
      "Aurel Bulgac",
      "Gui DoDang",
      "Dimitri Kusnezov"
    ],
    "categories": [
      "nucl-th",
      "chao-dyn",
      "cond-mat.stat-mech",
      "nlin.CD"
    ],
    "doi": "10.1103/PhysRevE.58.196",
    "journal_ref": "Phys.Rev. E58 (1998) 196-214",
    "title": "Dynamics of a Simple Quantum System in a Complex Environment",
    "url": "https://arxiv.org/abs/nucl-th/9711021"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "443d9589-3f5e-4c9a-8a60-ce308c23a447",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}