Strictly localized three-dimensional states close to single photons

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)).

References in corpus (2)

• Limits for realizing single photons
• Tunneling times of single photons

Cited by in corpus (4)

• Limits for realizing single photons
• Isomorphism between the Bialynicki-Birula and the Landau-Peierls Fock space quantization of the electromagnetic field in position representation
• Nonlocality of the energy density for all single-photon states
• Nonlocality of the energy density of a spontaneously emitted single-photon from a Hydrogen atom