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arXiv · 1707.01686

Why you should not use the electric field to quantize in nonlinear optics

Nicolás Quesada·J. E. Sipe
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Abstract

We show that using the electric field as a quantization variable in nonlinear optics leads to incorrect expressions for the squeezing parameters in spontaneous parametric down-conversion and conversion rates in frequency conversion. This observation is related to the fact that if the electric field is written as a linear combination of bosonic creation and annihilation operators one cannot satisfy Maxwell's equations in a nonlinear dielectric.

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Nicolás Quesada, J. E. Sipe. 2017-08-25. Why you should not use the electric field to quantize in nonlinear optics. https://doi.org/10.1364/ol.42.003443

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