Universal oscillations of high-order cumulants | Zendy

Christian Flindt | Zendy; C. Fricke | Zendy; F. Hohls | Zendy; Tomáš Novotný | Zendy; Karel Netočný | Zendy; Tobias Brandes | Zendy; R. J. Haug | Zendy; Massimo Macucci | Zendy; Giovanni Basso | Zendy

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Universal oscillations of high-order cumulants

Author(s) -

Christian Flindt,

C. Fricke,

F. Hohls,

Tomáš Novotný,

Karel Netočný,

Tobias Brandes,

R. J. Haug,

Massimo Macucci,

Giovanni Basso

Publication year - 2009

Publication title -

aip conference proceedings

Language(s) - English

Resource type - Conference proceedings

SCImago Journal Rank - 0.177

H-Index - 75

eISSN - 1551-7616

pISSN - 0094-243X

DOI - 10.1063/1.3140497

Subject(s) - cumulant , statistical physics , higher order statistics , order (exchange) , class (philosophy) , quantum , physics , mathematics , computer science , quantum mechanics , statistics , signal processing , artificial intelligence , telecommunications , radar , finance , economics

We discuss our recent measurement of high‐order cumulants 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 formulate a number of open questions.

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