|XXXIX Workshop on Geometric Methods in Physics||27.06-3.07.2021|
|IX School on Geometry and Physics||21-25.06.2021|
Locally-acting mirror Hamiltonians
Photons with well-defined energy are highly non-localised and occupy all available space in one dimension. On the other hand, optical elements, like mirrors, are highly-localised objects. To model the electromagnetic field in the presence of optical elements, we therefore introduce annihilation operators for highly-localised field excitations. These are different from single-particle annihilation operators and arise naturally if we quantise the negative as well as the positive solutions of Maxwell's equations. Moreover, they enable us to obtain locally-acting interaction Hamiltonians for two-sided semi-transparent mirrors with a wide range of applications in quantum optics and quantum information processing.
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