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 journalArticlepeer-review

    18 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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