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

TL;DR

This paper investigates the non-Markovian effects on shot noise spectrum in quantum transport through quantum dots, emphasizing the importance of finite bandwidth and Coulomb interactions using a generalized quantum master equation.

Contribution

It demonstrates the significance of non-Markovian dynamics in accurately capturing shot noise spectra, especially considering finite bandwidth and Coulomb interactions.

Findings

Non-Markovian treatment reveals effects of finite bandwidth on noise spectrum.

Finite Coulomb interaction influences shot noise characteristics.

Time-nonlocal equations better match exact results in weak coupling regimes.

Abstract

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.