You should not use the electric field to quantize in nonlinear optics

J. E. Sipe

doi:10.1117/12.2610044

27 August 2021 You should not use the electric field to quantize in nonlinear optics

J. E. Sipe

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Proceedings Volume 11917, Photonics for Quantum 2019; 119170I (2021) https://doi.org/10.1117/12.2610044
Event: Photonics for Quantum Workshop 2019, 2019, New York, United States

Abstract

We show that using the electric field as a quantization variable in nonlinear optics leads to incorrect expressions for the squeezing parameters in SPDC, the conversion rates in frequency conversion, and the wrong behavior of cross- and self-phase modulation. This observation is related to the fact that if the electric field is written as a linear combination of boson creation and annihilation operators one cannot satisfy Maxwell’s equations in a nonlinear dielectric.

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J. E. Sipe "You should not use the electric field to quantize in nonlinear optics", Proc. SPIE 11917, Photonics for Quantum 2019, 119170I (27 August 2021); https://doi.org/10.1117/12.2610044

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