Why you should not use the electric field to quantize in nonlinear optics
Quantum Physics
2017-08-28 v2 Optics
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.
Keywords
Cite
@article{arxiv.1707.01686,
title = {Why you should not use the electric field to quantize in nonlinear optics},
author = {Nicolás Quesada and J. E. Sipe},
journal= {arXiv preprint arXiv:1707.01686},
year = {2017}
}
Comments
This version corrects a minor typo from the published version in Optics Letters. Eq. 22 should have an \epsilon_0 that is lacking in the OL version