Interaction of mesoscopic Josephson junction with superposition of even and odd coherent states

The interaction of a mesoscopic Josephson junction with superposition of ev en and odd coherent states is investigated. It is found that the expectatio n value and the fluctuation of a supercurrent can exhibit dc components. Th e number of current-voltage steps (CVSs) for the former are less than the l atter. For the former the static supercurrent flows in a positive or negati ve direction, which depends on the phase of the light field. The correlatio n function and squeezing of the dc components of a supercurrent depend on t he value of CVS. For some special value of a CVS, the squeezing disappears.