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

Nicolás Quesada*, J. E. Sipe

*Corresponding author for this work

Research output: Contribution to journalArticle

10 Citations (Scopus)

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 downconversion (SPDC) 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.

Original languageEnglish
Pages (from-to)3443-3446
Number of pages4
JournalOptics Letters
Volume42
Issue number17
DOIs
Publication statusPublished - 1 Sep 2017

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