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Waiting time is an important transport quantity that is complementary toaverage current and its fluctuation. So far all the studies of waiting timedistribution (WTD) are limited to steady state transport (either dc or ac). Inthis work, we present a theory to calculate WTD for coherent electronic systemsin transient regime. We express the generating function of full countingstatistics using Keldysh non-equilibrium Green's functions formalism. Ouranalysis goes beyond the wideband approximation and is suitable for firstprinciples calculation on realistic systems. Analytic solution has beenobtained for short and long time behaviors of waiting times. At short times,the WTD shows a linear dependence on the waiting time while in the long timelimit, WTD follows Poisson distribution. We have applied this theory to aquantum dot connected by two leads and calculated cumulants of transferredcharge as well as WTD in the transient regime. We have demonstrated how torelate WTD to experimental measured data.

Waiting Time Distribution of Quantum Electronic Transport in Transient Regime