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PreprintCC BY 4.0arXiv

Nonlinear quantum noise polarization in macroscopic nonlinear QED

  • Arman Kashef
  • Stefan Scheel
  • Marco Ornigotti
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Abstract

We construct a quantum theory of light in nonlinearly responding materials with dispersion and absorption and, in particular, show the emergence of non-Gaussian noise associated with nonlinear absorption processes. Our theory is based on a path-integral formulation of the microscopic Huttner-Barnett model including cubic matter self-interaction required for χ(2) nonlinear processes. We show that the noise polarization emerges naturally from a decoupling of the stochastic weights of the bath response which, in case of cubic self-interactions, leads to a decoupling via Airy functions. As the theory is, by construction, consistent with the nonlinear fluctuation-dissipation theorem, it constitutes a viable quantum theory of light in nonlinear media.

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Cite

BibTeXRIS
BibTeX
@misc{kashef2026nonlinear,
  title = {{Nonlinear quantum noise polarization in macroscopic nonlinear QED}},
  author = {Arman Kashef and Stefan Scheel and Marco Ornigotti},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.31406},
  eprint = {2610.31406},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.31406},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Nonlinear quantum noise polarization in macroscopic nonlinear QED
AU  - Arman Kashef
AU  - Stefan Scheel
AU  - Marco Ornigotti
PY  - 2026
DA  - 2026/10/22
PB  - arXiv
DO  - 10.48550/arxiv.2610.31406
UR  - https://arxiv.org/abs/2610.31406
AB  - We construct a quantum theory of light in nonlinearly responding materials with dispersion and absorption and, in particular, show the emergence of non-Gaussian noise associated with nonlinear absorption processes. Our theory is based on a path-integral formulation of the microscopic Huttner-Barnett model including cubic matter self-interaction required for χ^(2) nonlinear processes. We show that the noise polarization emerges naturally from a decoupling of the stochastic weights of the bath response which, in case of cubic self-interactions, leads to a decoupling via Airy functions. As the theory is, by construction, consistent with the nonlinear fluctuation-dissipation theorem, it constitutes a viable quantum theory of light in nonlinear media.
ER  -