Leggett-Garg inequalities for the statistics of electron transport

Clive Emary
Phys. Rev. B 86, 085418 – Published 9 August 2012

Abstract

We derive a set of Leggett-Garg inequalities (temporal Bell's inequalities) for the moment generating function of charge transferred through a conductor. Violation of these inequalities demonstrates the absence of a macroscopic-real description of the transport process. We show how these inequalities can be violated by quantum-mechanical systems and consider transport through normal and superconducting single-electron transistors as examples.

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  • Received 22 March 2012

DOI:https://doi.org/10.1103/PhysRevB.86.085418

©2012 American Physical Society

Authors & Affiliations

Clive Emary

  • Institut für Theoretische Physik, Hardenbergstr. 36, TU Berlin, D-10623 Berlin, Germany

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Issue

Vol. 86, Iss. 8 — 15 August 2012

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