Universal oscillations in counting statistics

Details Universal oscillations in counting statistics Universal oscillations in counting statistics

2009-01-07

arxiv.org/abs/0901.0832v2

Proc. Natl. Acad. Sci. USA 106, 10116 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

19 pages, 4 figures, final version as published in PNAS

Scientific paper

10.1073/pnas.0901002106

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 <> 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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