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We present a detailed numerical investigation of five nonlinear materials andtheir properties regarding photon-pair creation using parametricdownconversion. Periodic poling of ferroelectric nonlinear materials is aconvenient way to generate collinearly propagating photon pairs. Mostapplications and experiments use the well-known potassium titanyl phosphate(KTiOPO4, ppKTP) and lithium niobate (LiNbO3, ppLN) crystals for this purpose.In this article we provide a profound discussion on the family ofKTP-isomorphic nonlinear materials, including KTP itself but also the much lesscommon CTA (CsTiOAsO4), KTA (KTiOAsO4), RTA (RbTiOAsO4) and RTP (RbTiOPO4). Wediscuss in which way these crystals can be used for creation of spectrally puredownconversion states and generation of crystal-intrinsic polarisation- andfrequency entanglement. The investigation of the new materials disclosed awhole new range of promising experimental setups, in some cases evenoutperforming the established materials ppLN and ppKTP.

Numerical Investigation of Photon-Pair Generation in Periodically Poled MTiOXO4 (M = K, Rb, Cs; X = P, As)