Path integral quantization of the electromagnetic field in nonlinear dielectric materials
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866914531397074944 |
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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 |