  The subject of bianyon interference with ultracold atoms is introduced
through theoretical investigations pertaining to the second-order momentum
correlation maps of two anyons (built upon spinless and spin-1/2 bosonic, as
well as spin-1/2 fermionic ultracold atoms) trapped in a double-well optical
trap. The two-particle system is modeled according to the recently proposed
protocols for emulating an anyonic Hubbard Hamiltonian in ultracold-atom
one-dimensional lattices. Because the second-order momentum correlations are
mirrored in the time-of-flight second-order interference patterns in space, our
findings provide impetus for time-of-flight experimental protocols for
detecting anyonic statistics via interferometry measurements of massive
particles that broaden the scope of the biphoton interferometry of quantum
optics.
