{
  "annotation_id": "ede51c9d-f50c-4429-9953-8c0b2efe0595",
  "date_created": "2026-03-02T18:01:38.356000Z",
  "date_modified": "2026-03-02T18:01:38.356000Z",
  "file_hash": "2cae3258a9e60588f4ef044603bb203781cff37665f91f6bb087363f5b055f5f",
  "private": false,
  "record": {
    "abstract": "A numerical method of calculating the non-Markovian evolution of a driven\natom radiating into a structured continuum is developed. The formal solution\nfor the atomic reduced density matrix is written as a Markovian algorithm by\nintroducing a set of additional, virtual density matrices which follow, to the\nlevel of approximation of the algorithm, all the possible trajectories of the\nphotons in the electromagnetic field. The technique is perturbative in the\nsense that more virtual density matrices are required as the product of the\neffective memory time and the effective coupling strength become larger. The\nnumber of density matrices required is given by $3^{M}$ where $M$ is the number\nof timesteps per memory time. The technique is applied to the problem of a\ndriven two-level atom radiating close to a photonic band gap and the\nsteady-state correlation function of the atom is calculated.",
    "arxiv_id": "quant-ph/0008093",
    "authors": [
      "M. W. Jack",
      "J. J. Hope"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.63.043803",
    "title": "Resonance fluorescence in a band gap material: Direct numerical   simulation of non-Markovian evolution",
    "url": "https://arxiv.org/abs/quant-ph/0008093"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d4316e7e-409d-4f4a-a26a-8b84cbf79019",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}