Local photons
- URL: http://arxiv.org/abs/2104.04499v4
- Date: Thu, 15 Sep 2022 20:40:09 GMT
- Title: Local photons
- Authors: Daniel Hodgson, Jake Southall, Robert Purdy, and Almut Beige
- Abstract summary: We show that a local description of the quantised electromagnetic field is possible.
We identify the relevant Schr"odinger equation and construct Lorentz-covariant electric and magnetic field observables.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- 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.
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