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 Schr\"odinger 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.
Cite
@article{arxiv.2104.04499,
title = {Local photons},
author = {Daniel Hodgson and Jake Southall and Robert Purdy and Almut Beige},
journal= {arXiv preprint arXiv:2104.04499},
year = {2022}
}
Comments
25 pages, 1 figure, final accepted version