Extension of the Huttner-Barnett model to a magnetodielectric medium

TL;DR

This paper extends the Huttner-Barnett quantum optical model to magnetodielectric media by incorporating magnetic matter fields, deriving susceptibilities, and demonstrating equivalence with phenomenological approaches.

Contribution

The paper introduces a new matter field into the Huttner-Barnett model to describe magnetodielectric media, providing explicit susceptibility derivations and showing consistency with phenomenological methods.

Findings

Derived electric and magnetic susceptibilities satisfying Kramers-Kronig relations

Eigenoperators for the coupled system are explicitly calculated

Results are equivalent to phenomenological models

Abstract

The Huttner$-$Barnett model is extended to a magnetodielectric medium by adding a new matter field to this model. The eigenoperators for the coupled system are calculated and electromagnetic field is written in terms of these operators. The electric and magnetic susceptibility of the medium are explicitly derived and shown to satisfy the Kramers$-$Kronig relations. It is shown that the results obtained in this model are equivalent to the results obtained from the phenomenological methods.