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Phys Rev Lett. 2018 Apr 06;120(14):140407. doi: 10.1103/PhysRevLett.120.140407.

Noninvasive Quantum Measurement of Arbitrary Operator Order by Engineered Non-Markovian Detectors.

Physical review letters

Johannes Bülte, Adam Bednorz, Christoph Bruder, Wolfgang Belzig

Affiliations

  1. Fachbereich Physik, Universität Konstanz, D-78457 Konstanz, Germany.
  2. Faculty of Physics, University of Warsaw, Pasteura 5, PL02-093 Warsaw, Poland.
  3. Department of Physics, University of Basel, Klingelbergstrasse 82, CH-4056 Basel, Switzerland.

PMID: 29694141 DOI: 10.1103/PhysRevLett.120.140407

Abstract

The development of solid-state quantum technologies requires the understanding of quantum measurements in interacting, nonisolated quantum systems. In general, a permanent coupling of detectors to a quantum system leads to memory effects that have to be taken into account in interpreting the measurement results. We analyze a generic setup of two detectors coupled to a quantum system and derive a compact formula in the weak-measurement limit that interpolates between an instantaneous (text-book type) and almost continuous-detector dynamics-dependent-measurement. A quantum memory effect that we term "system-mediated detector-detector interaction" is crucial to observe noncommuting observables simultaneously. Finally, we propose a mesoscopic double-dot detector setup in which the memory effect is tunable and that can be used to explore the transition to non-Markovian quantum measurements experimentally.

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