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In this article, the entropy behaviors of the field interacting with a ?-type three-level atom, are discussed,
where the Hamiltonian of the field is performed based on the Caldirola-Kanai (CK) damping Hamiltonian.
After obtaining the final form of the wave function. The statistical properties of the field with the help of
the quasiprobability distribution function Q is analyzed. It is noted that the Q function splits into two peaks
when the atom is initially in upper-level. Also, with the assistance of the atomic population inversion, the
phenomenon of revivals and collapses is observed. In addition to that, the evolution characteristics of the
fidelity of quantum information for a system is investigated. To get more general insight about the interaction
status, the influence of the damping parameter on the dynamics of a system is studied. It is shown that via
changing the damping parameter, one can tune the degree of entanglement and other nonclassicality features.