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Main Authors: Kashef, Arman, Herrero, Oscar Perearnau, Szameit, Alexander, Ornigotti, Marco, Scheel, Stefan
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2605.03836
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author Kashef, Arman
Herrero, Oscar Perearnau
Szameit, Alexander
Ornigotti, Marco
Scheel, Stefan
author_facet Kashef, Arman
Herrero, Oscar Perearnau
Szameit, Alexander
Ornigotti, Marco
Scheel, Stefan
contents We construct a quantum theory of light in nonlinear dielectric media with dispersion and absorption. We employ a mesoscopic model for the light-matter interaction that include a fourth-order nonlinearity in the material response. Quantization is performed by constructing an effective action in a path-integral formalism by integrating out matter and bath degrees of freedom. We show how a nonlinear response function associated with Kerr nonlinearity is obtained through the model and, after full field quantization, we derive the Feynman rules from this theory.
format Preprint
id arxiv_https___arxiv_org_abs_2605_03836
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Path integral quantization of the electromagnetic field in nonlinear dielectric materials
Kashef, Arman
Herrero, Oscar Perearnau
Szameit, Alexander
Ornigotti, Marco
Scheel, Stefan
Quantum Physics
Optics
We construct a quantum theory of light in nonlinear dielectric media with dispersion and absorption. We employ a mesoscopic model for the light-matter interaction that include a fourth-order nonlinearity in the material response. Quantization is performed by constructing an effective action in a path-integral formalism by integrating out matter and bath degrees of freedom. We show how a nonlinear response function associated with Kerr nonlinearity is obtained through the model and, after full field quantization, we derive the Feynman rules from this theory.
title Path integral quantization of the electromagnetic field in nonlinear dielectric materials
topic Quantum Physics
Optics
url https://arxiv.org/abs/2605.03836