Abstract
In recent years, non-Hermitian quantum physics has gained a great deal of popularity in the quantum optics and condensed matter communities in order to model quantum systems with varying symmetries. In this paper, we identify a non-standard inner product that implies bosonic commutator relations for local electric and magnetic field observables and leads to a natural local biorthogonal description of the quantised electromagnetic field. When comparing this description with an alternative local Hermitian description, in which the states of local photonic particles, i.e., of so-called bosons localised in position (blips), are orthogonal under the conventional Hermitian inner product, we find that there is an equivalence between the two approaches. Careful consideration needs to be given to the physical interpretation of the different descriptions. Whether a Hermitian or a non-Hermitian approach is more suitable depends on the circumstances that we want to model.
Funder
Engineering and Physical Sciences Research Council
Subject
Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)
Reference42 articles.
1. Local photons;Hodgson;arXiv,2022
2. A physically motivated quantization of the electromagnetic field
3. Dispersion Forces I: Macroscopic Quantum Electrodynamics and Ground-State Casimir, Casimir? Polder and van der Waals Forces, Springer Tracts in Modern Physics;Buhmann,2013
4. Canonical quantization of macroscopic electromagnetism
5. Macroscopic QED—Concepts and applications;Scheel;Acta Phys. Slovaca,2009
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献