  In this work we analyze the temporal dynamics of a system comprising an
optical cavity filled with a nonlinear Kerr medium, whose frequency is allowed
to change during time evolution. By exactly solving the corresponding
time-dependent anharmonic-oscillator Hamiltonian, we demonstrate that squeezed
coherent-state superpositions can be generated within the optical cavity.
Moreover, we show that the squeezing degree of the produced states may be tuned
by properly controlling the frequency shift of the cavity, a feature that might
lead to interesting studies in the field of quantum state engineering.
