Mono-parametric quantum charge pumping: interplay between spatial interference and photon-assisted tunneling

We analyze quantum charge pumping in an open ring with a dot embedded in one of its arms. We show that cyclic driving of the dot levels by a $\mathit{\text{single}}$ parameter leads to a pumped current when a static magnetic flux is simultaneously applied to the ring. Based on the computation of the Floquet-Green’s functions, we show that for low driving frequencies ${\omega }_0$, the interplay between the spatial interference through the ring plus photon-assisted tunneling gives an average direct current (dc) which is proportional to ${\omega }_0^2$. The direction of the pumped current can be reversed by changing the applied magnetic field.