Kerr interaction with displaced and squeezed Fock states

Displaced and squeezed Fock states have recently been thoroughly investigated. Application of these states as the input of a Kerr nonlinear medium reveals many nonclassical effects. We solve this problem analytically and demonstrate results by numerical examples. We introduce a phase distribution for the antinormal quasidistribution ${\mathrm{\phi }}_{\mathit{s}\mathit{c}\mathit{r}\mathit{A}}$ and show that the ‘‘phase’’ of the new states can be sharply localized at some values. This happens when revivals appear in the field. If the states are shifted by a reference wave, photon-number distributions clearly detect the structure of ${\mathrm{\phi }}_{\mathrm{scrA}}$. Damping of the new states is briefly discussed.