Abstract
We present a quantization scheme for the electromagnetic field in nonlinearly responding dielectric materials with dispersion and absorption. Starting from QED in linear dielectrics, we construct an effective nonlinear interaction Hamiltonian and show the emergence of a nonlinear noise polarization whose magnitude is related to the magnitude of the pump fields.
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Scheel, S., Welsch, D.G. Causal nonlinear quantum optics. Acta Phys. Hung. B 26, 11–18 (2006). https://doi.org/10.1556/APH.26.2006.1-2.3
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DOI: https://doi.org/10.1556/APH.26.2006.1-2.3