Universal oscillations in counting statistics

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Universal oscillations in counting statistics. / Flindt, C.; Fricke, C.; Hohls, F.; Novotný, T.; Netočný, K.; Brandes, T.; Haug, R. J.

In: Proceedings of the National Academy of Sciences of the United States of America, Vol. 106, No. 25, 2009, p. 10116-10119.

Research output: Contribution to journalArticleScientificpeer-review

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Flindt, C, Fricke, C, Hohls, F, Novotný, T, Netočný, K, Brandes, T & Haug, RJ 2009, 'Universal oscillations in counting statistics' Proceedings of the National Academy of Sciences of the United States of America, vol. 106, no. 25, pp. 10116-10119. https://doi.org/10.1073/pnas.0901002106

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Flindt, C. ; Fricke, C. ; Hohls, F. ; Novotný, T. ; Netočný, K. ; Brandes, T. ; Haug, R. J. / Universal oscillations in counting statistics. In: Proceedings of the National Academy of Sciences of the United States of America. 2009 ; Vol. 106, No. 25. pp. 10116-10119.

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@article{fe73b076f7b141ada6a1fabc1c83c553,
title = "Universal oscillations in counting statistics",
abstract = "Noise is a result of stochastic processes that originate from quantum or classical sources. Higher-order cumulants of the probability distribution underlying the stochastic events are believed to contain details that characterize the correlations within a given noise source and its interaction with the environment, but they are often difficult to measure. Here we report measurements of the transient cumulants «nm» of the number n of passed charges to very high orders (up to m = 15) for electron transport through a quantum dot. For large m, the cumulants display striking oscillations as functions of measurement time with magnitudes that grow factorially with m. Using mathematical properties of high-order derivatives in the complex plane we show that the oscillations of the cumulants in fact constitute a universal phenomenon, appearing as functions of almost any parameter, including time in the transient regime. These ubiquitous oscillations and the factorial growth are system-independent and our theory provides a unified interpretation of previous theoretical studies of high-order cumulants as well as our new experimental data.",
keywords = "Cumulants, Distributions, Electron transport, Noise and fluctuations",
author = "C. Flindt and C. Fricke and F. Hohls and T. Novotn{\'y} and K. Netočn{\'y} and T. Brandes and Haug, {R. J.}",
year = "2009",
doi = "10.1073/pnas.0901002106",
language = "English",
volume = "106",
pages = "10116--10119",
journal = "Proceedings of the National Academy of Sciences",
issn = "0027-8424",
number = "25",

}

RIS - Download

TY - JOUR

T1 - Universal oscillations in counting statistics

AU - Flindt, C.

AU - Fricke, C.

AU - Hohls, F.

AU - Novotný, T.

AU - Netočný, K.

AU - Brandes, T.

AU - Haug, R. J.

PY - 2009

Y1 - 2009

N2 - Noise is a result of stochastic processes that originate from quantum or classical sources. Higher-order cumulants of the probability distribution underlying the stochastic events are believed to contain details that characterize the correlations within a given noise source and its interaction with the environment, but they are often difficult to measure. Here we report measurements of the transient cumulants «nm» of the number n of passed charges to very high orders (up to m = 15) for electron transport through a quantum dot. For large m, the cumulants display striking oscillations as functions of measurement time with magnitudes that grow factorially with m. Using mathematical properties of high-order derivatives in the complex plane we show that the oscillations of the cumulants in fact constitute a universal phenomenon, appearing as functions of almost any parameter, including time in the transient regime. These ubiquitous oscillations and the factorial growth are system-independent and our theory provides a unified interpretation of previous theoretical studies of high-order cumulants as well as our new experimental data.

AB - Noise is a result of stochastic processes that originate from quantum or classical sources. Higher-order cumulants of the probability distribution underlying the stochastic events are believed to contain details that characterize the correlations within a given noise source and its interaction with the environment, but they are often difficult to measure. Here we report measurements of the transient cumulants «nm» of the number n of passed charges to very high orders (up to m = 15) for electron transport through a quantum dot. For large m, the cumulants display striking oscillations as functions of measurement time with magnitudes that grow factorially with m. Using mathematical properties of high-order derivatives in the complex plane we show that the oscillations of the cumulants in fact constitute a universal phenomenon, appearing as functions of almost any parameter, including time in the transient regime. These ubiquitous oscillations and the factorial growth are system-independent and our theory provides a unified interpretation of previous theoretical studies of high-order cumulants as well as our new experimental data.

KW - Cumulants

KW - Distributions

KW - Electron transport

KW - Noise and fluctuations

UR - http://www.scopus.com/inward/record.url?scp=67649880575&partnerID=8YFLogxK

U2 - 10.1073/pnas.0901002106

DO - 10.1073/pnas.0901002106

M3 - Article

VL - 106

SP - 10116

EP - 10119

JO - Proceedings of the National Academy of Sciences

JF - Proceedings of the National Academy of Sciences

SN - 0027-8424

IS - 25

ER -

ID: 4503418