Real-time simulation of finite frequency noise from a single electron emitter

TL;DR

This paper presents a method for real-time simulation of single-electron emission and finite frequency noise in quantum dots, enabling detailed analysis of system parameters and comparison with experiments.

Contribution

It introduces a versatile exact diagonalization approach for simulating single-electron emission and noise in quantum dots, adaptable to various parameters and future interaction studies.

Findings

Accurate computation of finite frequency current autocorrelation noise.

Method allows analysis of effects of dot transparency and level position.

Results are comparable with existing experimental data.

Abstract

We study the real-time emission of single electrons from a quantum dot coupled to a one dimensional conductor, using exact diagonalization on a discrete tight-binding chain. We show that from the calculation of the time-evolution of the one electron states, we have a simple access to all the relevant physical quantities in the system. In particular, we are able to compute accurately the finite frequency current autocorrelation noise. The method which we use is general and versatile, allowing to study the impact of many different parameters like the dot transparency or level position. Our results can be directly compared with existing experiments, and can also serve as a basis for future calculations including electronic interactions using the time dependent density-matrix renormalisation group and other techniques based on tight-binding models.