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The subject of bianyon interference with ultracold atoms is introducedthrough theoretical investigations pertaining to the second-order momentumcorrelation maps of two anyons (built upon spinless and spin-1/2 bosonic, aswell as spin-1/2 fermionic ultracold atoms) trapped in a double-well opticaltrap. The two-particle system is modeled according to the recently proposedprotocols for emulating an anyonic Hubbard Hamiltonian in ultracold-atomone-dimensional lattices. Because the second-order momentum correlations aremirrored in the time-of-flight second-order interference patterns in space, ourfindings provide impetus for time-of-flight experimental protocols fordetecting anyonic statistics via interferometry measurements of massiveparticles that broaden the scope of the biphoton interferometry of quantumoptics.

Anyon optics with time-of-flight two-particle interference of double-well-trapped interacting ultracold atoms