Multiparticle interference, GHZ entanglement, and full counting statistics

We study [1] quantum coherent transport in a generalized $N$-particle Hanbury Brown-Twiss setup enclosing magnetic flux, where electrons are injected from $N$ independent sources and collected in $N$ distant detectors, and show that the $N$-th order cumulant of current cross correlations exhibits flux-dependent periodic Aharonov-Bohm (AB) oscillations, while there is no such oscillation in all the lower-order cumulants. The origin of the multiparticle interference is the orbital Greenberger-Horne-Zeilinger entanglement of $N$ identical particles. For sufficiently strong AB oscillations the generalized $N$-particle Bell inequalities may be violated, proving the $N$-particle quantum nonlocality.\newline \newline [1] H.-S. Sim and E. V. Sukhorukov, condmat/0508399.