  The latest advances in the field of photonics have enabled the simulation of
an increasing number of quantum models in photonic systems, turning them into
an important tool for realizing exotic quantum phenomena. In this paper we
suggest different ways in which these systems can be used to study the
interplay between flat band dynamics, topology and interactions in a well-known
quasi-1D topological insulator: the Creutz ladder. Firstly, a simple
experimental protocol is proposed to observe the Aharonov-Bohm localization in
the noninteracting system, and the different experimental setups that might be
used for this are reviewed. We then consider the inclusion of a repulsive
Hubbard-type interaction term, which can give rise to repulsively bound pairs
termed doublons. The dynamics of these quasiparticles are studied for different
points of the phase diagram, including a regime in which pairs are localized
and particles are free to move. Finally, a scheme for the photonic
implementation of a two-particle bosonic Creutz-Hubbard model is presented.
