Premium
Simulating Correlations of Structured Spontaneously Down‐Converted Photon Pairs
Author(s) -
TrajtenbergMills Sivan,
Karnieli Aviv,
VolochBloch Noa,
Megidish Eli,
Eisenberg Hagai S.,
Arie Ady
Publication year - 2020
Publication title -
laser and photonics reviews
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.778
H-Index - 116
eISSN - 1863-8899
pISSN - 1863-8880
DOI - 10.1002/lpor.201900321
Subject(s) - spontaneous parametric down conversion , photon , nonlinear system , parametric statistics , physics , photonics , gaussian , optics , spatial light modulator , coincidence , hermite polynomials , photodetection , quantum optics , photon entanglement , nonlinear optics , laguerre polynomials , quantum , quantum mechanics , quantum entanglement , mathematics , photodetector , medicine , statistics , alternative medicine , pathology
Abstract Introducing structure into photon pair generation via spontaneous parametric down‐conversion (SPDC) is shown to be useful for controlling the output state and exploiting new degrees of freedom for quantum technologies. This paper presents a new method for simulating first‐ and second‐order correlations of the down‐converted photons in the presence of structured pump beams and shaped nonlinear photonic crystals. This method is nonperturbative, and thus accounts for high‐order effects, and can be made very efficient using parallel computing. Experimental results of photodetection and coincidence rates in complex spatial configurations are recovered quantitatively by this method. These include SPDC in 2D nonlinear photonic crystals, as well as with structured light beams such as Laguerre Gaussian and Hermite Gaussian beams. This simulation method reveals conservation rules for the down‐converted signal and idler beams that depend on the nonlinear crystal modulation pattern and the pump shape. This scheme can facilitate the design of nonlinear crystals and pumping conditions for generating non‐classical light with pre‐defined properties.