Canonical quantization of macroscopic electrodynamics in a linear, inhomogeneous magnetoelectric medium

A. C. Judge; M. J. Steel; J. E. Sipe; C. M. De Sterke

doi:10.1103/PhysRevA.87.033824

Canonical quantization of macroscopic electrodynamics in a linear, inhomogeneous magnetoelectric medium

A. C. Judge^*, M. J. Steel, J. E. Sipe, C. M. De Sterke

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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Abstract

We present a canonical quantization of macroscopic electrodynamics. The results apply to inhomogeneous media with a broad class of linear magnetoelectric 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 magnetoelectric media. Previous canonical treatments of dielectric and magnetodielectric media have expressed the electromagnetic field operators in either a Green's 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.

Original language	English
Article number	033824
Pages (from-to)	1-13
Number of pages	13
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	87
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevA.87.033824
Publication status	Published - 21 Mar 2013

Bibliographical note

Judge, A. C., Steel, M. J., Sipe, J. E., & de Sterke, C. M. (2013). Canonical quantization of macroscopic electrodynamics in a linear, inhomogeneous magnetoelectric medium. Physical Review A, 87(3), 033824. Copyright (2013) by the American Physical Society. The original article can be found at http://dx.doi.org/10.1103/PhysRevA.87.033824.

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abstract = "We present a canonical quantization of macroscopic electrodynamics. The results apply to inhomogeneous media with a broad class of linear magnetoelectric 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 magnetoelectric media. Previous canonical treatments of dielectric and magnetodielectric media have expressed the electromagnetic field operators in either a Green's 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.",

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Canonical quantization of macroscopic electrodynamics in a linear, inhomogeneous magnetoelectric medium

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