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

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 Added by Nicol\\'as Quesada
 Publication date 2017
  fields Physics
and research's language is English




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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 Maxwells equations in a nonlinear dielectric.

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