Universal oscillations in counting statistics

作者：Flindt C^*; Fricke C; Hohls F; Novotny T; Netocny K; Brandes T; Haug R J

来源：Proceedings of the National Academy of Sciences, 2009, 106(25): 10116-10119.

DOI：10.1073/pnas.0901002106

• cumulants
• distributions
• electron transport
• noise and fluctuations

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.

• 出版日期2009-6-23