Temporal evolution of fluxes in driven quantum dots

TL;DR

This paper analytically investigates the time-dependent particle and energy fluxes in a driven quantum dot at near-zero temperature, revealing frequency-dependent energy flow directions and potential experimental verification.

Contribution

It provides simple analytical expressions for fluxes and explores their behavior under different drive frequencies in a driven quantum dot system.

Findings

Directed energy flow towards leads at low drive frequency

Flux direction changes with increasing drive frequency

Analytical results applicable for experimental verification

Abstract

Driven mesoscopic system is a topic of great recent interest. The temporal evolution of the fluxes(particle and energy) are studied in a system of a driven single level quantum dot. At a very low reservoir temperature $T\rightarrow 0$ and for common chemical potentials of the two reservoirs, we have presented analytical expressions for time dependent particle and energy fluxes in a very simple form. Apart from these fluxes, the behavior of the dot occupation and the power developed in the system due to the presence of the time dependent drive are also being studied. Importantly, for a very low frequency of the drive, one finds a directed energy flow towards the leads. Increasing the frequency from low to medium, one finds change in the direction of the energy flow depending on the time. These results can also be verified experimentally.