Nonsymmetrized Correlations in Quantum Noninvasive Measurements

Adam Bednorz, Christoph Bruder, Bertrand Reulet, and Wolfgang Belzig
Phys. Rev. Lett. 110, 250404 – Published 21 June 2013
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Abstract

A long-standing problem in quantum mesoscopic physics is which operator order corresponds to noise expressions like I(ω)I(ω), where I(ω) is the measured current at frequency ω. Symmetrized order describes a classical measurement while nonsymmetrized order corresponds to a quantum detector, e.g., one sensitive to either emission or absorption of photons. We show that both order schemes can be embedded in quantum weak-measurement theory taking into account measurements with memory, characterized by a memory function which is independent of a particular experimental detection scheme. We discuss the resulting quasiprobabilities for different detector temperatures and how their negativity can be tested on the level of second-order correlation functions already. Experimentally, this negativity can be related to the squeezing of the many-body state of the transported electrons in an ac-driven tunnel junction.

  • Figure
  • Received 25 November 2012

DOI:https://doi.org/10.1103/PhysRevLett.110.250404

© 2013 American Physical Society

Authors & Affiliations

Adam Bednorz1,*, Christoph Bruder2, Bertrand Reulet3, and Wolfgang Belzig4

  • 1Faculty of Physics, University of Warsaw, ul. Hoża 69, PL00-681 Warsaw, Poland
  • 2Department of Physics, University of Basel, Klingelbergstrasse 82, CH-4056 Basel, Switzerland
  • 3Département de Physique, Université de Sherbrooke, Sherbrooke, Quebec J1K2R1, Canada
  • 4Fachbereich Physik, Universität Konstanz, D-78457 Konstanz, Germany

  • *abednorz@fuw.edu.pl

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Issue

Vol. 110, Iss. 25 — 21 June 2013

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