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Low-dimensional detector model for full counting statistics: Trajectories, back action, and fidelity

Gernot Schaller, Gerold Kießlich, and Tobias Brandes
Phys. Rev. B 82, 041303(R) – Published 15 July 2010

Abstract

We study the combined counting statistics of two capacitively coupled transport channels. In particular, we examine the conditions necessary for utilizing one channel as detector sensitive to the occupation of the other. A good detector fidelity may be achieved in a bistable regime when the tunneling rates through the two channels are vastly different—even when the physical back action of the detector on the probed channel is large. Our methods allow to estimate the error of charge counting detectors from time-resolved current measurements—which have been obtained in recent experiments—alone.

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  • Received 20 April 2010

DOI:https://doi.org/10.1103/PhysRevB.82.041303

©2010 American Physical Society

Authors & Affiliations

Gernot Schaller*, Gerold Kießlich, and Tobias Brandes

  • Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, D-10623 Berlin, Germany

  • *gernot.schaller@tu-berlin.de

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Vol. 82, Iss. 4 — 15 July 2010

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