Waiting Time Correlations in Transport through Two Coupled Quantum Dots

Abstract

Current fluctuations can give useful information about the underlying mechanism of the mesoscopic transport. There are two approaches to the study of these fluctuations. Full counting statistics (FCS) analyses the number of transferred particles in the given time interval. In an alternative approach, distribution of time delays between subsequent physical events, known as waiting time distribution (WTD), is studied [1]. In quantum dots both FCS and WTD can be studied using charge detection techniques [2]. Dasenbrock et al. [3] have shown the correlation of subsequent waiting times in the coherent transport through a quantum point contact described within the scattering matrix formalism. Here the study is extended to the case of quantum dots. I show the presence of the waiting time correlation in the sequential tunneling transport through the capacitively interacting quantum dots, where the transport in one quantum dot is modulated by the charge state of the other. All calculations are made within the Markovian master equation formalism.