Strictly localized three-dimensional states close to single photons
Quantum Physics
2022-06-08 v3
Abstract
A class of strictly localized states which can be made arbitrarily close to single photons is constructed, and expressions for central properties are provided. It is demonstrated that single photon states can be well approximated by these states down to localization scales on the order of a few pulse cycles. The results readily generalize to states close to -photons. We also provide upper and lower bounds for the fidelity between a given single photon and any state strictly localized to a given volume. These results constitute the limit of photon localization, complementary to the weak-localization limit (I. Bialynicki-Birula, Phys. Rev. Lett. 80, 5247 (1998)).
Keywords
Cite
@article{arxiv.2109.07998,
title = {Strictly localized three-dimensional states close to single photons},
author = {Kai Ryen and Jan Gulla and Johannes Skaar},
journal= {arXiv preprint arXiv:2109.07998},
year = {2022}
}