Why you should not use the electric field to quantize in nonlinear optics
arXiv:1707.01686 · doi:10.1364/OL.42.003443
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.
arXiv commentThis version corrects a minor typo from the published version in Optics Letters. Eq. 22 should have an ε_0 that is lacking in the OL version
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