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arXiv · 2605.03836

Path integral quantization of the electromagnetic field in nonlinear dielectric materials

Arman Kashef·Oscar Perearnau Herrero·Alexander Szameit·Marco Ornigotti·Stefan Scheel
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Abstract

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.

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Arman Kashef, Oscar Perearnau Herrero, Alexander Szameit, Marco Ornigotti, Stefan Scheel. 2026-05-05. Path integral quantization of the electromagnetic field in nonlinear dielectric materials. https://doi.org/10.1103/2ps3-lzcd

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