  In this paper we address the analytical solution of the non-resonant
interaction between two identical V-type three-level atoms passing
consecutively through a single-mode cavity field in the presence of
intensity-dependent coupling. By considering an identical initial condition for
both atoms and an initial coherent field, we find the analytical solution of
the state vector of the entire atom-field system. Accordingly, we could
carefully investigate the influence of various parameters in the circumstances
of the interacting system on different physical quantities such as the atomic
population inversion, atom-field entanglement, field squeezing, sub-Poissonian
statistics and the Wigner quasi-probability distribution function. In detail,
we discuss numerically the influences of the detuning parameters and a
particular nonlinearity function on the mentioned quantities and demonstrate
that they have substantial effects on the temporal behavior of the
above-mentioned nonclassical properties.
