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We study theoretically two-photon states in a periodic array of coupledcavities with both on-site and nonlocal Kerr-type nonlinearities. In theabsence of nonlinearity the structure is topologically trivial and possesses noedge states. The interplay of two nonlinear interaction mechanisms described bythe extended Hubbard model facilitates formation of edge states of bound photonpairs. Numerical and exact analytical results for the two-photon wave functionsare presented. Our findings thus shed light onto the edge states of compositeparticles and their localization properties.

Interaction-induced two-photon edge states in extended Hubbard model realized in a cavity array