We investigate the distribution of waiting times between electrons emittedfrom a periodically driven single-electron turnstile. To this end, we develop ascheme for analytic calculations of the waiting time distributions forarbitrary periodic driving protocols. We illustrate the general framework byconsidering a driven tunnel junction before moving on to the more involvedsingle-electron turnstile. The waiting time distributions are evaluated at lowtemperatures for square-wave and harmonic driving protocols. In the adiabaticregime, the dynamics of the turnstile is synchronized with the external drive.As the non-adiabatic regime is approached, the waiting time distributionbecomes dominated by cycle-missing events in which the turnstile fails to emitwithin one or several periods. We also discuss the influence of finiteelectronic temperatures. The waiting time distributions provide a usefulcharacterization of the driven single-electron turnstile with complementaryinformation compared to what can be learned from conventional currentmeasurements.
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