期刊
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
卷 106, 期 25, 页码 10116-10119出版社
NATL ACAD SCIENCES
DOI: 10.1073/pnas.0901002106
关键词
cumulants; distributions; electron transport; noise and fluctuations
资金
- Villum Kann Rasmussen Foundation
- Czech Science Foundation [202/07/J051]
- Federal Ministry of Education and Research of Germany via nanoQuit
- German Excellence Initiative
- Ministry of Education of the Czech Republic [MSN0021620834]
- Academy of Sciences of the Czech Republic [AV0Z10100520]
- Deutsche Forschungsgemeinschaft [1528/5-1]
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 << n(m)>> 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.
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