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Universal Oscillations in Counting Statistics

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F09%3A00206644" target="_blank" >RIV/00216208:11320/09:00206644 - isvavai.cz</a>

  • Alternative codes found

    RIV/68378271:_____/09:00340497

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Universal Oscillations in Counting Statistics

  • Original language description

    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 withina 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.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BM - Solid-state physics and magnetism

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GC202%2F07%2FJ051" target="_blank" >GC202/07/J051: Full Counting Statistics in Non-Markovian Nano-Systems</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2009

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Proceedings of the National Academy of Sciences of the United States of America

  • ISSN

    0027-8424

  • e-ISSN

  • Volume of the periodical

    106

  • Issue of the periodical within the volume

    25

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    4

  • Pages from-to

  • UT code for WoS article

    000267292200011

  • EID of the result in the Scopus database