2026-10-23 · arXiv Quantum Physics
arXiv:2610.31406v1 Announce Type: new
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
$\chi^{(2)}$ 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.
原文链接：https://arxiv.org/abs/2610.31406
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