  Fano resonances and bound states with energy in the continuum are ubiquitous
phenomena in different areas of physics. Observations, however, have been
limited so far to single-particle processes. In this work we experimentally
investigate the multi-particle case and observe Fano interference in a
non-interacting two-particle Fano-Anderson model by considering propagation of
two-photon states in engineered photonic lattices. We demonstrate that the
quantum statistics of the particles, either bosonic or fermionic, strongly
affects the decay process. Remarkably, we find that the Fano resonance, when
two discrete levels are coupled to a continuum, is suppressed in the fermionic
case.
