  We investigate nonclassical properties of a state generated by the
interaction of a three-level atom with a quantized cavity field and an external
classical driving field. In this study, the fields being degenerate in
frequency, are highly detuned from the atom. The atom interacts with the
quantized field in a dispersive manner. The experimental set-up involves a
three-level atom passing through a cavity and interacting dispersively with the
cavity field mode. Simultaneously, the atom interacts with an external
classical field that is in resonance with the cavity field. The three-level
atom can enter the cavity in one of the bare states $\ket{e}$, $\ket{f}$ or
$\ket{g}$ or in a superposition of two of these states. In this paper, we
consider superposition of $\ket{e}$ and $\ket{f}$. In our analysis, we focus on
the statistical properties of the cavity field after interacting with the atom.
The state vector $|\psi(t)\rangle$ describes the entire atom-field system but
we analyze the properties of the cavity field independently neglecting the
atomic component of the system. For this the atom part is traced out from
$|\psi(t)\rangle$ to acquire the cavity field state only, denoted by
$\ket{\psi_{ f}(t)}$. We evaluate different nonclassical measures including
photon number distribution, Mandel's $Q_M$ parameter, squeezing properties
$S_x$ and $S_p$, Wigner distribution, $Q_f$ function, second-order correlation
function $g^2(0)$ etc. for the obtained cavity field state.
