Quantum fluctuation and revival of supercurrent in mesoscopic Josephson junction driven by classical periodic field

We examine an effective bosonic Hamiltonian describing a mesoscopic Josephs on junction driven by a sinusoidal magnetic field. We study the effects cau sed by the Josephson nonlinearity and find that an initial vacuum state of the junction can evolve into a class of superposition state of coherent sta tes, Further, we investigate the reduced quantum fluctuation of the junctio n variables and the dynamics of the supercurrent. Our results show that, du e to the effect of Josephson nonlinearity, the time evolution of the superc urrent can exhibit the collapse and revival even when the junction is drive n by a classical field.