Lyubarov, MarkPoddubny, Alexander2020-07-012020-07-012469-9926http://hdl.handle.net/1885/205691We study theoretically an extended Bose-Hubbard model with the spatially modulated interaction strength, describing a one-dimensional array of tunneling-coupled nonlinear cavities. It is demonstrated that the spatial modulation of the nonlinearity induces bound two-photon edge states. The formation of these edge states has been understood analytically in terms of nonlinear self-localization. Our results show that the number of excitations and the modulation period of the interaction affect the photonic quantum walks in the universal way and both promote the edge states.This work has been supported by the Russian Foundation for Basic Research Grants No. 18-29-20037 and No. 18-32-20065. A.P. has been partially supported by the Presidium of RAS (Program 13, Nanostructures in Life Sciences).application/pdfen-AU© 2019 American Physical Society2019-11-0610.1103/PhysRevA.100.0538132020-01-27