Details
| Original language | English |
|---|---|
| Pages (from-to) | 10116-10119 |
| Number of pages | 4 |
| Journal | Proceedings of the National Academy of Sciences of the United States of America |
| Volume | 106 |
| Issue number | 25 |
| Publication status | Published - 23 Jun 2009 |
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.
Keywords
- Cumulants, Distributions, Electron transport, Noise and fluctuations
ASJC Scopus subject areas
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In: Proceedings of the National Academy of Sciences of the United States of America, Vol. 106, No. 25, 23.06.2009, p. 10116-10119.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Universal oscillations in counting statistics
AU - Flindt, C.
AU - Fricke, C.
AU - Hohls, F.
AU - Novotný, T.
AU - Netočný, K.
AU - Brandes, T.
AU - Haug, R. J.
PY - 2009/6/23
Y1 - 2009/6/23
N2 - 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.
AB - 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.
KW - Cumulants
KW - Distributions
KW - Electron transport
KW - Noise and fluctuations
UR - http://www.scopus.com/inward/record.url?scp=67649880575&partnerID=8YFLogxK
U2 - 10.1073/pnas.0901002106
DO - 10.1073/pnas.0901002106
M3 - Article
AN - SCOPUS:67649880575
VL - 106
SP - 10116
EP - 10119
JO - Proceedings of the National Academy of Sciences of the United States of America
JF - Proceedings of the National Academy of Sciences of the United States of America
SN - 0027-8424
IS - 25
ER -