XXXIX Workshop on Geometric Methods in Physics 28.06-4.07.2020
IX School on Geometry and Physics 22-26.06.2020

Almut Beige


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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University
of Bialystok
University of Bialystok






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