Mesoscopic Josephson arrays interacting with non-classical electromagnetic fields and their applications

A ring made from a Josephson array in the insulating phase is considered. The ring contains a `dual Josephson junction´ (Josephson junction for vortices). External non-classical electromagnetic fields are coupled to the device and interact with the vortices that circulate the ring. The time evolution of this two-mode fully quantum mechanical system is studied. The effect of the quantum statistics of the photons on the quantum statistics of the vortices is discussed. The entanglement between the two systems is quantified