Integrated photonic systems have emerged as a powerful platform for quantum simulation, enabling the study of topological phases and localization phenomena in highly controllable on-chip environments. While previous experiments have largely relied on classical light, the incorporation of quantum optical states promises access to physics beyond semiclassical approximations. In this work we numerically demonstrate the generation and propagation of nonclassical light within waveguide arrays designed to emulate key lattice models, including the Aubry-André, Anderson localization, and Su-Schrieffer-Heeger models. By exploiting third-order nonlinearity via spontaneous four-wave mixing, our simulations reveal both pump-induced single-photon localization and, more notably, the formation and evolution of correlated biphoton states within these topological structures. Our approach combines precise waveguide design simulation, supported by numerical solutions of the photonic Schrödinger equation, with quantum optical measurements to reveal how topological boundaries and disorder influence multiphoton quantum transport. This work establishes a scalable path toward exploring quantum correlations and many-body localization in synthetically engineered photonic matter.

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• Integrated optics
• Nonlinear optics
• Photonics
• Topological effects in photonic systems
• Waveguide arrays