  Quasiprobability distributions (QDs) in open quantum systems are investigated
for $SU(2)$, spin like systems, having relevance to quantum optics and
information. In this work, effect of both quantum non-demolition (QND) and
dissipative open quantum systems, on the evolution of a number of spin QDs are
investigated. Specifically, compact analytic expressions for the $W$, $P$, $Q$,
and $F$ functions are obtained for some interesting single, two and three qubit
states, undergoing general open system evolutions. Further, corresponding QDs
are reported for an N qubit Dicke model and a spin-1 system. The existence of
nonclassical characteristics are observed in all the systems investigated here.
The study leads to a clear understanding of quantum to classical transition in
a host of realistic physical scenarios. Variation of the amount of
nonclassicality observed in the quantum systems, studied here,are also
investigated using nonclassical volume.
