  A three level atom in $\Lambda$ configuration is reduced to an effective two
level system, under appropriate conditions, and its $\mathcal{PT}$ symmetric
properties are investigated. This effective qubit system when subjected to a
beam-splitter type of interaction, it provides the scope of directly
(indirectly) probing the nonclassical properties of the output (input) state.
Here, we study nonclassical properties of the output state by using some well
known measures of nonclassical correlations like the measurement induced
disturbance, concurrence and negativity. The nonclassical features are found to
enhance in the $\mathcal{PT}$ symmetric (PTS) phase compared to the
$\mathcal{PT}$ symmetry broken (PTSB) phase. Further, the output ports of the
beam-splitter are subjected to different quantum noise channels, both
non-Markovian, e.g., random telegraph noise as well as Markovian, e.g., phase
damping, and amplitude damping noise. The application of noise channels is
found to decrease the degree of nonclassicality, though continuing to exhibit
distinct behavior in PTS and PTSB phases, with the dominant behavior appearing
in the former case.
