3 years ago

Modal expansions in dispersive material systems with application to quantum optics and topological photonics.

Mario G. Silveirinha

It is proven that in the lossless case the electrodynamics of a generic inhomogeneous possibly bianisotropic and nonreciprocal system may be described by an augmented state-vector whose time evolution is determined by a Hermitian operator. As a consequence, it is shown that a generic electromagnetic field distribution can be expanded into a complete set of normal modes that satisfy generalized orthogonality relations. Importantly, the modal expansions in dispersive systems are not unique because the electromagnetic degrees of freedom span only part of the entire Hilbert space. The developed theory is used to obtain a modal expansion of the system Green's function.

Furthermore, it is highlighted that the Hermitian-type formulation of the dispersive Maxwell's equations enables one to extend the powerful ideas of topological photonics to a wide range of electromagnetic systems and to characterize electromagnetic topological phases. In addition, we illustrate how the developed formalism can be applied to quantum optics. We present a simple procedure to quantize the electromagnetic field in a generic bianisotropic and nonreciprocal cavity and derive the quantum correlations of the electromagnetic fields.

Publisher URL: http://arxiv.org/abs/1712.04272

DOI: arXiv:1712.04272v2

You might also like
Discover & Discuss Important Research

Keeping up-to-date with research can feel impossible, with papers being published faster than you'll ever be able to read them. That's where Researcher comes in: we're simplifying discovery and making important discussions happen. With over 19,000 sources, including peer-reviewed journals, preprints, blogs, universities, podcasts and Live events across 10 research areas, you'll never miss what's important to you. It's like social media, but better. Oh, and we should mention - it's free.

  • Download from Google Play
  • Download from App Store
  • Download from AppInChina

Researcher displays publicly available abstracts and doesn’t host any full article content. If the content is open access, we will direct clicks from the abstracts to the publisher website and display the PDF copy on our platform. Clicks to view the full text will be directed to the publisher website, where only users with subscriptions or access through their institution are able to view the full article.