Geometric phase in a mesoscopic Josephson junction with classical driving source

Abstract

We examine a mesoscopic Josephson junction driven by the time periodic field and solve its time-dependent Schr\"odinger equation with the help of the time dependent invariant of the Hamiltonian operator. We show that the state of the system can evolve a generalized squeezed state if the junction is prepared initially in its $n\mathrm{th}$ excited state. It also turns out to be possible to produce coherent and ordinary squeezed states for the mesoscopic junction system. The explicit expression of the nonadiabatic geometric phase of the system is also obtained.