Pushing the Limits in Real-Time Measurements of Quantum Dynamics

E. Kleinherbers, P. Stegmann, A. Kurzmann, M. Geller, A. Lorke, and J. König
Phys. Rev. Lett. 128, 087701 – Published 23 February 2022
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Abstract

Time-resolved studies of quantum systems are the key to understanding quantum dynamics at its core. The real-time measurement of individual quantum numbers as they switch between certain discrete values, well known as a “random telegraph signal,” is expected to yield maximal physical insight. However, the signal suffers from both systematic errors, such as a limited time resolution and noise from the measurement apparatus, as well as statistical errors due to a limited amount of data. Here we demonstrate that an evaluation scheme based on factorial cumulants can reduce the influence of such errors by orders of magnitude. The error resilience is supported by a general theory for the detection errors as well as experimental data of single-electron tunneling through a self-assembled quantum dot. Thus, factorial cumulants push the limits in the analysis of random telegraph data, which represent a wide class of experiments in physics, chemistry, engineering, and life sciences.

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  • Received 1 July 2021
  • Accepted 5 January 2022

DOI:https://doi.org/10.1103/PhysRevLett.128.087701

© 2022 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsStatistical Physics & ThermodynamicsAtomic, Molecular & Optical

Authors & Affiliations

E. Kleinherbers1,*, P. Stegmann2,†, A. Kurzmann3, M. Geller1, A. Lorke1, and J. König1

  • 1Faculty of Physics and CENIDE, University of Duisburg-Essen, 47057 Duisburg, Germany
  • 2Department of Chemistry, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
  • 32nd Institute of Physics, RWTH Aachen University, 52074 Aachen, Germany

  • *eric.kleinherbers@uni-due.de
  • psteg@mit.edu

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Issue

Vol. 128, Iss. 8 — 25 February 2022

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