Quantum polyspectra for modeling and evaluating quantum transport measurements: A unifying approach to the strong and weak measurement regime

Quantum polyspectra of up to fourth order are introduced for modeling and evaluating quantum transport measurements offering a powerful alternative to methods of the traditional full counting statistics. Experimental time traces of the occupation dynamics of a single quantum dot are evaluated via si...

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Main Authors: M. Sifft, A. Kurzmann, J. Kerski, R. Schott, A. Ludwig, A. D. Wieck, A. Lorke, M. Geller, D. Hägele
Format: Article
Language:English
Published: American Physical Society 2021-08-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.3.033123
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author M. Sifft
A. Kurzmann
J. Kerski
R. Schott
A. Ludwig
A. D. Wieck
A. Lorke
M. Geller
D. Hägele
author_facet M. Sifft
A. Kurzmann
J. Kerski
R. Schott
A. Ludwig
A. D. Wieck
A. Lorke
M. Geller
D. Hägele
author_sort M. Sifft
collection DOAJ
description Quantum polyspectra of up to fourth order are introduced for modeling and evaluating quantum transport measurements offering a powerful alternative to methods of the traditional full counting statistics. Experimental time traces of the occupation dynamics of a single quantum dot are evaluated via simultaneously fitting their second-, third-, and fourth-order spectra. The scheme recovers the same electron tunneling and spin relaxation rates as previously obtained from an analysis of the same data in terms of factorial cumulants of the full counting statistics and waiting-time distributions. Moreover, the evaluation of time traces via quantum polyspectra is demonstrated to be feasible also in the weak measurement regime even when quantum jumps can no longer be identified from time traces and methods related to the full counting statistics cease to be applicable. A numerical study of a double dot system shows strongly changing features in the quantum polyspectra for the transition from the weak measurement regime to the Zeno regime where coherent tunneling dynamics is suppressed. Quantum polyspectra thus constitute a general unifying approach to the strong and weak regime of quantum measurements with possible applications in diverse fields as nanoelectronics, circuit quantum electrodynamics, spin noise spectroscopy, or quantum optics.
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spelling doaj.art-26fe01151d1246d2ad65aba7072944832024-04-12T17:12:37ZengAmerican Physical SocietyPhysical Review Research2643-15642021-08-013303312310.1103/PhysRevResearch.3.033123Quantum polyspectra for modeling and evaluating quantum transport measurements: A unifying approach to the strong and weak measurement regimeM. SifftA. KurzmannJ. KerskiR. SchottA. LudwigA. D. WieckA. LorkeM. GellerD. HägeleQuantum polyspectra of up to fourth order are introduced for modeling and evaluating quantum transport measurements offering a powerful alternative to methods of the traditional full counting statistics. Experimental time traces of the occupation dynamics of a single quantum dot are evaluated via simultaneously fitting their second-, third-, and fourth-order spectra. The scheme recovers the same electron tunneling and spin relaxation rates as previously obtained from an analysis of the same data in terms of factorial cumulants of the full counting statistics and waiting-time distributions. Moreover, the evaluation of time traces via quantum polyspectra is demonstrated to be feasible also in the weak measurement regime even when quantum jumps can no longer be identified from time traces and methods related to the full counting statistics cease to be applicable. A numerical study of a double dot system shows strongly changing features in the quantum polyspectra for the transition from the weak measurement regime to the Zeno regime where coherent tunneling dynamics is suppressed. Quantum polyspectra thus constitute a general unifying approach to the strong and weak regime of quantum measurements with possible applications in diverse fields as nanoelectronics, circuit quantum electrodynamics, spin noise spectroscopy, or quantum optics.http://doi.org/10.1103/PhysRevResearch.3.033123
spellingShingle M. Sifft
A. Kurzmann
J. Kerski
R. Schott
A. Ludwig
A. D. Wieck
A. Lorke
M. Geller
D. Hägele
Quantum polyspectra for modeling and evaluating quantum transport measurements: A unifying approach to the strong and weak measurement regime
Physical Review Research
title Quantum polyspectra for modeling and evaluating quantum transport measurements: A unifying approach to the strong and weak measurement regime
title_full Quantum polyspectra for modeling and evaluating quantum transport measurements: A unifying approach to the strong and weak measurement regime
title_fullStr Quantum polyspectra for modeling and evaluating quantum transport measurements: A unifying approach to the strong and weak measurement regime
title_full_unstemmed Quantum polyspectra for modeling and evaluating quantum transport measurements: A unifying approach to the strong and weak measurement regime
title_short Quantum polyspectra for modeling and evaluating quantum transport measurements: A unifying approach to the strong and weak measurement regime
title_sort quantum polyspectra for modeling and evaluating quantum transport measurements a unifying approach to the strong and weak measurement regime
url http://doi.org/10.1103/PhysRevResearch.3.033123
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