Abstract
In this paper we derive the Clauser-Horne (CH) inequality for the full electron-counting statistics in a mesoscopic multiterminal conductor and discuss its properties. We first consider the idealized situation in which a flux of entangled electrons is generated by an entangler. Given a certain average number of incoming entangled electrons, the CH inequality can be evaluated for different numbers of transmitted particles. Strong violations occur when the number of transmitted charges on the two terminals is the same ${(Q}_{1}{=Q}_{2}),$ whereas no violation is found for ${Q}_{1}\ensuremath{\ne}{Q}_{2}.$ We then consider two actual setups that can be realized experimentally. The first one consists of a three terminal normal beam splitter and the second one of a hybrid superconducting structure. Interestingly, we find that the CH inequality is violated for the three terminal normal device. The maximum violation scales as $1/M$ and ${1/M}^{2}$ for the entangler and normal beam splitter, respectively, $2M$ being the average number of injected electrons. As expected, we find full violation of the CH inequality in the case of the superconducting system.
Paper version not known
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call