English

Canonical quantization of macroscopic electrodynamics in a linear, inhomogeneous magneto-electric medium

Quantum Physics 2015-06-11 v1 Optics

Abstract

We present a canonical quantization of macroscopic electrodynamics. The results apply to inhomogeneous media with a broad class of linear magneto-electric responses which are consistent with the Kramers-Kronig and Onsager relations. Through its ability to accommodate strong dispersion and loss, our theory provides a rigorous foundation for the study of quantum optical processes in structures incorporating metamaterials, provided these may be modeled as magneto-electric media. Previous canonical treatments of dielectric and magneto-dielectric media have expressed the electromagnetic field operators in either a Green function or mode expansion representation. Here we present our results in the mode expansion picture with a view to applications in guided wave and cavity quantum optics.

Keywords

Cite

@article{arxiv.1209.4401,
  title  = {Canonical quantization of macroscopic electrodynamics in a linear, inhomogeneous magneto-electric medium},
  author = {A. C. Judge and M. J. Steel and J. E. Sipe and C. M. de Sterke},
  journal= {arXiv preprint arXiv:1209.4401},
  year   = {2015}
}

Comments

Submitted to Physical Review A 24/07/2012