We study quantum walks of many non-interacting particles on a beam splitter array, as a paradigmatic testing ground for the competition of single- and many-particle interference in a multi-mode system. We derive a general expression for multi-mode particle-number correlation functions, valid for bosons and fermions, and infer pronounced signatures of many-particle interferences in the counting statistics.
@article{arxiv.1009.5241,
title = {Counting Statistics of Many-Particle Quantum Walks},
author = {Klaus Mayer and Malte C. Tichy and Florian Mintert and Thomas Konrad and Andreas Buchleitner},
journal= {arXiv preprint arXiv:1009.5241},
year = {2011}
}