Temporal evolution of fluxes in driven quantum dots

Highlights: • Driven Mesoscopic transport • The Keldysh–Green's function technique. • The particle and energy fluxes • For a low driving frequency a positive heat current flows in presence of energy reactance. 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 $T\to 0$ 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, which depends on time. These results can also be verified experimentally.