  Identical particles exhibit correlations even in the absence of
inter-particle interaction, due to the exchange (anti)symmetry of the
many-particle wavefunction. Two fermions obey the Pauli principle and
anti-bunch, whereas two bosons favor bunched, doubly occupied states. Here, we
show that the collective interference of three or more particles leads to a
much more diverse behavior than expected from the boson-fermion dichotomy known
from quantum statistical mechanics. The emerging complexity of many-particle
interference is tamed by a simple law for the strict suppression of events in
the Bell multiport beam splitter. The law shows that counting events are
governed by widely species-independent interference, such that bosons and
fermions can even exhibit identical interference signatures, while their
statistical character remains subordinate. Recent progress in the preparation
of tailored many-particle states of bosonic and fermionic atoms promises
experimental verification and applications in novel many-particle
interferometers.
