Strictly localized three-dimensional states close to single photons
- URL: http://arxiv.org/abs/2109.07998v3
- Date: Tue, 14 Dec 2021 09:08:14 GMT
- Title: Strictly localized three-dimensional states close to single photons
- Authors: Kai Ryen, Jan Gulla, Johannes Skaar
- Abstract summary: A class of strictly localized states which can be made arbitrarily close to single photons is constructed.
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.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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 $n$-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)).
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