Born's rule, one of the cornerstones of quantum mechanics, relates detection probabilities to the modulus square of the wave function. Single-particle interference is accordingly limited to pairs of quantum paths and higher-order interferences are prohibited. Deviations from Born's law have been quantified via the Sorkin parameter which is proportional to the third-order term. We here extend this formalism to many-particle interferences and find that they exhibit a much richer structure. We demonstrate, in particular, that all interference terms of order (2M+1) and greater vanish for M particles. We further introduce a family of many-particle Sorkin parameters and show that they are exponentially more sensitive to deviations from Born's rule than their single-particle counterpart.
@article{arxiv.1810.08221,
title = {Many-particle interference to test Born's rule},
author = {Marc-Oliver Pleinert and Joachim von Zanthier and Eric Lutz},
journal= {arXiv preprint arXiv:1810.08221},
year = {2021}
}