{
  "annotation_id": "da41c90f-17d8-4f70-b619-ec4c76eb78f6",
  "date_created": "2026-03-02T18:01:11.222000Z",
  "date_modified": "2026-03-02T18:01:11.222000Z",
  "file_hash": "75803f9cf8cc9517537198039b08865f2e1506e0e160e0eb9d28deb6db097422",
  "private": false,
  "record": {
    "abstract": "We present a statistical analysis of time-resolved spontaneous emission decay\ncurves from ensembles of emitters, such as semiconductor quantum dots, with the\naim to interpret ubiquitous non-single-exponential decay. Contrary to what is\nwidely assumed, the density of excited emitters and the intensity in an\nemission decay curve are not proportional, but the density is a time-integral\nof the intensity. The integral relation is crucial to correctly interpret\nnon-single-exponential decay. We derive the proper normalization for both a\ndiscrete, and a continuous distribution of rates, where every decay component\nis multiplied with its radiative decay rate. A central result of our paper is\nthe derivation of the emission decay curve in case that both radiative and\nnon-radiative decays are independently distributed. In this case, the\nwell-known emission quantum efficiency can not be expressed by a single number\nanymore, but it is also distributed. We derive a practical description of\nnon-single-exponential emission decay curves in terms of a single distribution\nof decay rates; the resulting distribution is identified as the distribution of\ntotal decay rates weighted with the radiative rates. We apply our analysis to\nrecent examples of colloidal quantum dot emission in suspensions and in\nphotonic crystals, and we find that this important class of emitters is well\ndescribed by a log-normal distribution of decay rates with a narrow and a broad\ndistribution, respectively. Finally, we briefly discuss the Kohlrausch\nstretched-exponential model, and find that its normalization is ill-defined for\nemitters with a realistic quantum efficiency of less than 100 %.",
    "arxiv_id": "physics/0607043",
    "authors": [
      "A. F. van Driel",
      "I. S. Nikolaev",
      "P. Vergeer",
      "P. Lodahl",
      "D. Vanmaekelbergh",
      "W. L. Vos"
    ],
    "categories": [
      "physics.optics",
      "physics.data-an"
    ],
    "doi": "10.1103/PhysRevB.75.035329",
    "journal_ref": "Phys. Rev. B 75, 035329 (2007) (8 pages)",
    "title": "Statistical analysis of time-resolved emission from ensembles of   semiconductor quantum dots: interpretation of exponential decay models",
    "url": "https://arxiv.org/abs/physics/0607043"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "dd4c2dc2-ebb1-4e2c-8cc3-1d8337864029",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}