Leggett-Garg inequality in electron interferometers

Clive Emary, Neill Lambert, and Franco Nori
Phys. Rev. B 86, 235447 – Published 27 December 2012

Abstract

We consider the violation of the Leggett-Garg inequality in electronic Mach-Zehnder inteferometers. This setup has two distinct advantages over earlier quantum-transport proposals: Firstly, the required correlation functions can be obtained without time-resolved measurements. Secondly, the geometry of an interferometer allows one to construct the correlation functions from ideal negative measurements, which addresses the noninvasiveness requirement of the Leggett-Garg inequality. We discuss two concrete realizations of these ideas: the first in quantum Hall edge-channels, the second in a double quantum dot interferometer.

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  • Received 9 October 2012

DOI:https://doi.org/10.1103/PhysRevB.86.235447

©2012 American Physical Society

Authors & Affiliations

Clive Emary1, Neill Lambert2, and Franco Nori2,3

  • 1Institut für Theoretische Physik, Technische Universität Berlin, D-10623 Berlin, Germany
  • 2Advanced Science Institute, The Institute of Physical and Chemical Research (RIKEN), Saitama 351-0198, Japan
  • 3Physics Department, University of Michigan, Ann Arbor, Michigan 48109, USA

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Issue

Vol. 86, Iss. 23 — 15 December 2012

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