Locally-acting mirror Hamiltonians
arXiv:1908.07597 · doi:10.1080/09500340.2021.1936241
Abstract
Photons, i.e. the basic energy quanta of monochromatic waves, are highly non-localised and occupy all available space in one dimension. This non-local property can complicate the modelling of the quantised electromagnetic field in the presence of optical elements that are local objects. Therefore, in this paper, we take an alternative approach and quantise the electromagnetic field in position space. Taking into account the negative- {\em and} the positive-frequency solutions of Maxwell's equations, we construct annihilation operators for highly-localised field excitations with bosonic commutator relations. These provide natural building blocks of wave packets of light and enable us to construct locally-acting interaction Hamiltonians for two-sided semi-transparent mirrors.
21 pages, 1 figure, revised version, co-author added
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Cited by in corpus (6)
- Local photons
- Quantum theory of plasmon polaritons in chains of metallic nanoparticles: From near- to far-field coupling regime
- Comparing Hermitian and Non-Hermitian Quantum Electrodynamics
- The quantum optics of asymmetric mirrors with coherent light absorption
- Enhancing wave-particle duality
- Spontaneous emission of atomic dipoles near two-sided semi-transparent mirrors