Universal oscillations of high-order cumulants

Christian Flindt*, Christian Fricke, Frank Hohls, Tomas Novotny, Karel Netocny, Tobias Brandes, Rolf J. Haug

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review

Abstract

We discuss our recent measurement of high-order cumidants of charge transport through a quantum dot. The cumulants were found to oscillate as functions of measurement time before reaching their linear-in-time asymptotics. A theoretical analysis revealed that such oscillations in fact constitute a universal phenomenon: for a large class of stochastic processes the high-order cumulants are predicted to oscillate as functions of basically any parameter. Here, we give an overview of these recent results, provide an outlook on future applications of our findings, and formidate a number of open questions.

Original languageEnglish
Title of host publicationNOISE AND FLUCTUATIONS: 20TH INTERNATIONAL CONFERENCE ON NOISE AND FLUCTUATIONS (ICNF‐2009)
EditorsMassimo Macucci, Giovanni Basso
PublisherAmerican Institute of Physics
Pages453-456
Number of pages4
ISBN (Print)978-0-7354-0665-0
DOIs
Publication statusPublished - 2009
MoE publication typeA4 Article in a conference publication
EventInternational Conference on Noise and Fluctuations - Pisa, Italy
Duration: 14 Jun 200919 Jun 2009
Conference number: 20

Publication series

NameAIP Conference Proceedings
PublisherAmerican Institute of Physics
Volume1129
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Noise and Fluctuations
Abbreviated titleICNF
CountryItaly
CityPisa
Period14/06/200919/06/2009

Keywords

  • Counting statistics
  • Cumulants
  • Universal oscillations

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    Flindt, C., Fricke, C., Hohls, F., Novotny, T., Netocny, K., Brandes, T., & Haug, R. J. (2009). Universal oscillations of high-order cumulants. In M. Macucci, & G. Basso (Eds.), NOISE AND FLUCTUATIONS: 20TH INTERNATIONAL CONFERENCE ON NOISE AND FLUCTUATIONS (ICNF‐2009) (pp. 453-456). (AIP Conference Proceedings ; Vol. 1129). American Institute of Physics. https://doi.org/10.1063/1.3140497