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

Nicolás Quesada; J. E. Sipe

doi:10.1364/OL.42.003443

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 journal › Article › peer-review

31 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 language	English
Pages (from-to)	3443-3446
Number of pages	4
Journal	Optics Letters
Volume	42
Issue number	17
DOIs	https://doi.org/10.1364/OL.42.003443
Publication status	Published - 1 Sept 2017

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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{\textquoteright}s equations in a nonlinear dielectric.",

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AB - 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.

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

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