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Interference between two waves is a well-known concept in physics, and itsgeneralization to more than two waves is straight-forward. The order ofinterference is defined as the number of paths that interfere in a manner thatcannot be reduced to patterns of a lower order. In practice, second-orderinterference means that in, say, a triple-slit experiment, the interferencepattern when all three slits are open can be predicted from the interferencepatterns between all possible pairs of slits. Quantum mechanics is often saidto only exhibit second-order interference. However, this is only true underspecific assumptions, typically single-particles undergoing linear evolution.Here we experimentally show that nonlinear evolution can in fact lead tohigher-order interference. The higher-order interference in our experiment hasa simple quantum mechanical description; namely, optical coherent statesinteracting in a nonlinear medium. Our work shows that nonlinear evolutioncould open a loophole for experiments attempting to verify Born's rule byruling out higher-order interference.

Experimental Higher-Order Interference in a Nonlinear Triple Slit