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Photon localization: a comparative study — arXiv:2608.04134

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.04134
License (as archived): CC0-1.0
Archived: 2026-10-31T12:01:35.373Z
SHA-256 of the archived text: 66173addfaffbf315071060429b0c6bf689135804bbca344fdceea10a598cabd
Stable URL of this page: https://metraipolis.com/documento/dc_98f8f005bfca

How to cite

Photon localization: a comparative study — arXiv:2608.04134 — arXiv (en), https://arxiv.org/abs/2608.04134 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_98f8f005bfca (Metraipolis archive dc_98f8f005bfca, sha256 66173addfaffbf315071060429b0c6bf689135804bbca344fdceea10a598cabd)

BibTeX

@misc{dc98f8f005bfca,
  title = {Photon localization: a comparative study — arXiv:2608.04134},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.04134},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_98f8f005bfca; sha256 66173addfaffbf315071060429b0c6bf689135804bbca344fdceea10a598cabd},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.04134. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We compare different measures for photon localization in terms of two-dimensional Gaussian wave packets of width Delta k. We find that all measures start to coalesce if the wave packet has evolved for times which are larger than a few (c Delta k)^{-1}. However, the Landau-Peierls wave function yields the largest initial offset <r>-ct > 0 while the Fourier transform of the helicity components of the k-space wave packet yields the smallest offset <r>-ct > 0 and converges towards <r>-ct = 0 fastest. We also discuss local detection of photons through a model detector consisting of ions in ion traps. The position-dependent detection probabilities are inferred from the scattering matrix. We find that the local detection probability for photons can be expressed in terms of three of the proposed localization measures, viz. the Landau-Peierls wave function, the energy wave function, and the Hawton density. Those three proposals also remain close throughout the time evolution of the single-photon wave packet. However, the energy wave function is locally related to electromagnetic fields and is therefore confirmed as the preferred tool for the description of local photon densities. The novelty of our observations concerns three items, viz. the possibility to express local photon absorption matrix elements through three of the proposed localization measures, the coalescence of all the proposed localization measures after sufficiently long evolution of a photon wave packet, and the striking differences of some of the proposed localization measures during early wave packet evolution.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-08-06 in quant-ph).
Categorie arXiv: Quantum Physics (quant-ph).
Pagina del lavoro: https://arxiv.org/abs/2608.04134 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-31T11:50:18.157Z dalla pagina https://arxiv.org/catchup/quant-ph/2026-08-06?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).