  We investigate the time evolution of statistical properties of a single mode
radiation field after its interaction with a two-level atom. The entire system
is described by a dispersive Jaynes-Cummings Hamiltonian assuming the atomic
state evolving from an initial superposition of its excited and ground states,
$\vert e\rangle +\vert g\rangle ,$ and the field evolving from an initial
superposition of two excited levels, $\vert n_{1}\rangle+ \vert n_{2}\rangle$.
It is found that the field evolution is periodic, the period depending on the
ratio $n_{2}/n_{1}.$ The energy excitation oscillates between these two states
and the statististics can be either sub- or super-Poissonian, depending on the
values $n_{1},$ $n_{2}$.
