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Conference on Lasers and Electro-Optics

Simulating the Quantum Correlations of Structured Photons

Sivan Trajtenberg‐Mills, Aviv Karnieli, Noa Voloch‐Bloch, E. Megidish, H. S. Eisenberg, Ady Arie

Published Jan 1, 2020• 0 citations
Publisher

Abstract

We introduce an efficient, nonperturbative method for calculating the first and second order quantum correlations of down converted photons that recovers experimental results. Our algorithm paves the way towards engineering arbitrarily structured nonclassical light.
DOI
10.1364/cleo_qels.2020.fm3c.3

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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.
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We investigate the multipartite entanglement between spatial and spectral modes of an optical parametric oscillator pumped with a structured light field. When the pump beam is prepared in a second-order transverse mode, we show that the down-converted signal and idler fields are generated in a reconfigurable quadripartite entangled state of first-order modes. Our investigation is based both on separability criteria and a thorough analysis of the squeezing properties. Additionally, we demonstrate that large-scale entangled states can be produced and easily controlled by a pump field structured in both spatial and spectral domains. Our results pave the way for versatile cluster state engineering with structured light modes.