Clauser-Horne inequality and decoherence in mesoscopic conductors

Elsa Prada, Fabio Taddei, and Rosario Fazio
Phys. Rev. B 72, 125333 – Published 21 September 2005

Abstract

We analyze the effect of decoherence on the violation of the Clauser-Horne (CH) inequality for the full electron counting statistics in a mesoscopic multiterminal conductor. Our setup consists of an entangler that emits a flux of entangled electrons into two conductors characterized by a scattering matrix and subject to decoherence. Loss of phase memory is modeled phenomenologically by introducing fictitious extra leads. The outgoing electrons are detected using spin-sensitive electron counters. Given a certain average number of incoming entangled electrons, the CH inequality is evaluated as a function of the numbers of detected particles and on the various quantities characterizing the scattering matrix. When decoherence is turned on, we show that the amount of violation of the CH inequality is effectively reduced. Interestingly we find that, by adjusting the parameters of the system, there exists a protected region of Q values for which violation holds for arbitrary strong decoherence.

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  • Received 6 May 2005

DOI:https://doi.org/10.1103/PhysRevB.72.125333

©2005 American Physical Society

Authors & Affiliations

Elsa Prada

  • Departamento de Física Teórica de la Materia Condensada, C-V, Universidad Autónoma de Madrid, E-28049 Madrid, Spain and Institut für Theoretische Festkörperphysik, Universität Karlsruhe, D-76128 Karlsruhe, Germany

Fabio Taddei and Rosario Fazio

  • NEST-INFM and Scuola Normale Superiore, I-56126 Pisa, Italy

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Issue

Vol. 72, Iss. 12 — 15 September 2005

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