Geometric phase in a mesoscopic Josephson junction with classical driving source

We examine a mesoscopic Josephson junction driven by the time periodic fiel d and solve its time-dependent Schrodinger equation with the help of the ti me dependent invariant of the Hamiltonian operator. We show that the state of the, system can evolve a generalized squeezed state if the junction is p repared initially in its nth excited state. It also turns out to be possibl e to produce coherent and ordinary squeezed states for the mesoscopic junct ion system. The explicit expression of the nonadiabatic geometric phase of the system is also obtained. [S0163-1829(99)00337-9].