Multiparticle Interference, GHZ Entanglement, and Full Counting Statistics

TL;DR

This paper explores how N-particle quantum interference and entanglement influence current correlations in a magnetic flux setup, revealing unique oscillations and potential violations of Bell inequalities.

Contribution

It demonstrates that Nth-order current cumulants show Aharonov-Bohm oscillations linked to GHZ entanglement, highlighting multiparticle quantum nonlocality.

Findings

Nth-order cumulants exhibit Aharonov-Bohm oscillations

Lower-order cumulants do not oscillate with flux

Potential violation of Bell inequalities for strong oscillations

Abstract

We investigate the quantum transport in a generalized N-particle Hanbury Brown--Twiss setup enclosing magnetic flux, and demonstrate that the Nth-order cumulant of current cross correlations exhibits Aharonov-Bohm oscillations, while there is no such oscillation in all the lower-order cumulants. The multiparticle interference results from the orbital Greenberger-Horne-Zeilinger entanglement of N indistinguishable particles. For sufficiently strong Aharonov-Bohm oscillations the generalized Bell inequalities may be violated, proving the N-particle quantum nonlocality.