Squeezing Effect of the Charge and Current in Mesoscopic Coupled Circuit with Alternating Source

We study the dynamic evolution of a mesoscopic coupled circuit with alternating source and solve its time-dependent Schrödinger equation with the help of the time dependent invariant of the Hermitian operator. It indicates that the state of the system can evolve a generalized squeezed state. The results show that in certain circumstance, compared to the initial vacuum state, either the charges or the currents in two meshes are squeezed simultaneously in the same extent. The expression of the nonadiabatic geometric phase in the circuit is also obtained.