Non-Markovian shot noise spectrum of quantum transport through quantum dots

The generalized quantum master equation with transport particle number resolution, like its conventional unconditioned counterpart, has also the time-local and time-nonlocal prescriptions.The latter is found to be more suitable for the effect of electrodes bandwidth on quantum transport and noise spectrum for weak system-reservoir coupling, as calibrated with the exact results in the absence of Coulomb interaction. We further analyze the effect of Coulomb interaction on the noise spectrum of transport current through quantum dot systems, and show that the realistic finite Coulomb interaction and finite bandwidth are manifested only with non-Markovian treatment. We demonstrate a number of non-Markovian characteristics of shot noise spectrum, including that due to finite bandwidth and that sensitive to and enhanced by the magnitude of Coulomb interaction.