Dynamical properties of mesoscopic ring coupled to an ac driven electron reservoir

We investigate a one-dimensional mesoscopic ring with a constant magnetic flux coupled to an electron reservoir which is driven by an oscillating potential. There is time-dependent tunneling current between the ring and reservoir with a zero net value. The persistent current in the ring is also time-dependent due to the driving potential. The time-averaged persistent current is related to electron transfer between two coupled parts which is associated with the Fermi energy and side bands of the reservoir.