  Non-Gaussian and nonclassical states and processes are already found to be
important resources for performing various tasks related to quantum gravity and
quantum information processing. The effect of non-Gaussianity inducing
operators on the nonclassicality of quantum states has also been studied
rigorously. Considering these facts, a quantitative analysis of the
nonclassical and non-Gaussian features is performed here for photon added
displaced Fock state, as a test case, using a set of measures like entanglement
potential, Wigner Yanese skew information, Wigner logarithmic negativity and
relative entropy of non-Gaussianity. It is observed that photon addition (Fock
parameter) significantly increases the amount of nonclassicalty and
non-Gaussianity for small (large) values of the displacement parameter, which
decreases both the quantum features monotonically. In this respect, the role of
Fock parameter is found to be more prominent and stronger compared to photon
addition. Finally, the dynamics of Wigner function under the effect of photon
loss channel is used to show that only highly efficient detectors are able to
detect Wigner negativity.
