Path integral quantization of the electromagnetic field in nonlinear dielectric materials
- URL: http://arxiv.org/abs/2605.03836v1
- Date: Tue, 05 May 2026 15:03:07 GMT
- Title: Path integral quantization of the electromagnetic field in nonlinear dielectric materials
- Abstract summary: We employ a mesoscopic model for the light-matter interaction that include a fourth-order nonlinearity in the material response.<n>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.
- Score: 37.03225953494829
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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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