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Trapped Ion Quantum Computing

Path integral quantization of the electromagnetic field in nonlinear dielectric materials

arXiv

Authors: Arman Kashef, Oscar Perearnau Herrero, Alexander Szameit, Marco Ornigotti, Stefan Scheel

Year

2026

Paper ID

59904

Status

Preprint

Abstract Read

~2 min

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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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We construct a quantum theory of light in nonlinear dielectric media with dispersion and absorption.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2605.03836 [2] arXiv https://arxiv.org/abs/2605.03836 [3] Publisher https://arxiv.org/abs/2605.03836

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