{
  "id": "2403.13622",
  "version": "v1",
  "published": "2024-03-20T14:15:18.000Z",
  "updated": "2024-03-20T14:15:18.000Z",
  "title": "Nonlocality of the energy density of a spontaneously emitted single-photon from a Hydrogen atom",
  "authors": [
    "Maxime Federico",
    "Hans-Rudolf Jauslin"
  ],
  "categories": [
    "quant-ph"
  ],
  "abstract": "We analyze through the expectation value of the energy density the spatial nonlocality of single photons emitted by the spontaneous decay of a Hydrogen atom. By using a minimal coupling between the quantized electromagnetic field and the atom, we compute the state of the photon under the assumption that only a single-photon is produced. The calculations are thus performed in the subspace of single-photon states which is essentially equivalent to the rotating wave approximation. We obtain a characterization of the spatial decay of the energy density. We compute the asymptotic limit of large distances from the atom at each given time, and find an algebraic behavior of $1/r^6$. This result confirms that the energy density of single-photon states is nonlocal and the algebraic decay is far from the maximal quasiexponential localization predicted by the theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-03-20T14:15:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "energy density",
      "spontaneously emitted single-photon",
      "hydrogen atom",
      "single-photon states",
      "maximal quasiexponential localization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}