Local photons

Abstract

The classical free-space solutions of Maxwell's equations for light propagation in one dimension include wave packets of any shape that travel at the speed of light. This includes highly-localised wave packets that remain localised at all times. Motivated by this observation, this paper builds on recent work by Southall et al. [J. Mod. Opt. 68, 647 (2021)] and shows that a local description of the quantised electromagnetic field, which supports such solutions and which must overcome several no-go theorems, is indeed possible. Starting from the assumption that the basic building blocks of photonic wave packets are so-called bosons localised in position (blips), we identify the relevant Schrödinger equation and construct Lorentz-covariant electric and magnetic field observables. In addition we show that our approach simplifies to the standard description of quantum electrodynamics when restricted to a subspace of states.

25 pages, 1 figure, final accepted version

References in corpus (5)

• Photon wave functions, wave-packet quantization of light, and coherence theory
• Noncollinear parametric fluorescence by chirped quasi-phase matching for monocycle temporal entanglement
• Why photons cannot be sharply localized
• Maxwell quantum mechanics
• Comparing Hermitian and Non-Hermitian Quantum Electrodynamics

Cited by in corpus (6)

• Comparing Hermitian and Non-Hermitian Quantum Electrodynamics
• Introduction to gravitational redshift of quantum photons propagating in curved spacetime
• Validation of classical modeling of single-photon pulse propagation
• Enhancing wave-particle duality
• Dimensional Reduction in Quantum Optics
• Nonlocality of the energy density for all single-photon states