Quantising the electromagnetic field near two-sided semi-transparent mirrors

Abstract

This paper models light scattering through flat surfaces with finite transmission, reflection and absorption rates, with wave packets approaching the mirror from both sides. While using the same notion of photons as in free space, our model also accounts for the presence of mirror images and the possible exchange of energy between the electromagnetic field and the mirror surface. To test our model, we derive the spontaneous decay rate and the level shift of an atom in front of a semi-transparent mirror as a function of its transmission and reflection rates. When considering limiting cases and using standard approximations, our approach reproduces well-known results but it also paves the way for the modelling of more complex scenarios.

arXiv comment16 pages, 6 figures, improved version

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Cited by in corpus (6)

• Locally-acting mirror Hamiltonians
• A physically-motivated quantisation of the electromagnetic field on curved spacetimes
• Comparing Hermitian and Non-Hermitian Quantum Electrodynamics
• Investigation of Purcell enhancement of quantum dots emitting in the telecom O-band with an open fiber-cavity
• The quantum optics of asymmetric mirrors with coherent light absorption
• Spontaneous emission of atomic dipoles near two-sided semi-transparent mirrors