{
  "annotation_id": "de1d2671-0046-4498-a353-cece8b9d9f4c",
  "date_created": "2026-03-02T18:02:22.882000Z",
  "date_modified": "2026-03-02T18:02:22.882000Z",
  "file_hash": "52393c55e5c90a871035cff47fbbe5a9e62c9115edc8e78827eda56fd36cf92b",
  "private": false,
  "record": {
    "abstract": "Non-Markovian quantum state diffusion (NMQSD) is an exact method for\ncalculating the reduced density matrix of an arbitrary subsystem interacting\nlinearly with the radiation field. Applications of the theory have however been\nfew due to the intractable nature of the variational-differential NMQSD\nevolution equation. Recently, we argued that the variational-differential\nequation can be rewritten as an integrodifferential equation which can be\nreadily solved numerically. This manuscript provides an explicit derivation of\nthe modified equations. Applications to intermittent fluorescence in\n$^{24}$Mg$^+$ are discussed in detail. Earlier speculations that quantum jumps\noccur on all time scales are verified on a picosecond timescale. We show that a\nplot of the probability density of the signal vs signal strength shows the two\ncharacteristic peaks associated with the bright and dark manifolds, and that\nthe ratio of the areas under the peaks is 16 as observed experimentally. We\nalso show that the shape of this distribution is sensitive to bath memory, but\nhas a mathematical form common to both the Markovian and non-Markovian cases.",
    "arxiv_id": "quant-ph/0511236",
    "authors": [
      "Joshua Wilkie",
      "Ray Ng"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Non-Markovian Quantum State Diffusion: Application to Quantum Jumps in   $^{24}$Mg$^+$",
    "url": "https://arxiv.org/abs/quant-ph/0511236"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c6cfe2bb-c03f-4b42-9973-b02cfa583a5f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}