  Wave packet revivals and fractional revivals are striking quantum
interference phenomena that can occur under suitable conditions in a system
with a nonlinear spectrum. In the framework of a specific model (the
propagation of an initially coherent wave packet in a Kerr-like medium), it is
shown that distinctive signatures of these revivals and fractional revivals are
displayed by the time evolution of the expectation values of physical
observables and their powers, i.e., by experimentally measurable quantities.
Moreover, different fractional revivals can be selectively identified by
examining appropriate higher moments.
