Gouy phase of type-I SPDC-generated biphotons
- URL: http://arxiv.org/abs/2010.15615v1
- Date: Thu, 29 Oct 2020 14:05:09 GMT
- Title: Gouy phase of type-I SPDC-generated biphotons
- Authors: F. C. V. de Brito, I. G. da Paz, Brigitte Hiller, Jonas B. Araujo and
Marcos Sampaio
- Abstract summary: We consider a double Gaussian approximation to describe the wavefunction of twin photons created in a nonlinear crystal.
We find that the wavefunction develops a Gouy phase while it propagates, being dependent of the two-photon correlation through the Rayleigh length.
- Score: 0.0
- License: http://creativecommons.org/publicdomain/zero/1.0/
- Abstract: We consider a double Gaussian approximation to describe the wavefunction of
twin photons (also called a biphoton) created in a nonlinear crystal via a
type-I spontaneous parametric downconversion (SPDC) process. We find that the
wavefunction develops a Gouy phase while it propagates, being dependent of the
two-photon correlation through the Rayleigh length. We evaluate the covariance
matrix and show that the logarithmic negativity, useful in quantifying
entanglement in Gaussian states, although Rayleigh-dependent, does not depend
on the propagation distance. In addition, we show that the two-photon
entanglement can be connected to the biphoton Gouy phase as these quantities
are Rayleigh-length-related. Then, we focus the double Gaussian biphoton
wavefunction using a thin lens and calculate a Gouy phase that is in reasonable
agreement with the experimental data of D. Kawase et al. published in Ref. [1].
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