Universal oscillations in counting statistics

Research output: Contribution to journalArticleScientificpeer-review

Researchers

Research units

  • Harvard University
  • Charles University
  • Leibniz Universität Hannover
  • Czech Academy of Sciences
  • Technical University of Berlin

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.

Details

Original languageEnglish
Pages (from-to)10116-10119
Number of pages4
JournalProceedings of the National Academy of Sciences of the United States of America
Volume106
Issue number25
Publication statusPublished - 2009
MoE publication typeA1 Journal article-refereed

    Research areas

  • Cumulants, Distributions, Electron transport, Noise and fluctuations

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