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We study the nonclassicality of the evolution of a superposition of anarbitrary number of photon-added squeezed coherent Schr\"{o}dinger cat statesin a nonlinear Kerr medium. The nonlinearity of the medium gives rise to theperiodicities of the quantities such as the Wehrl entropy $S_{Q}$ and thenegativity $\delta_{W}$ of the $W$-distribution, and a series of local minimaof these quantities arise at the rational submultiples of the said period. Atthese local minima the evolving state coincides with the transient Yurke-Stolertype of photon-added squeezed kitten states, which, for the choice of the phasespace variables reflecting their macroscopic nature, show extremely short-livedbehavior. Proceeding further we provide the closed form tomograms, whichfurnish the alternate description of these short-lived states. The increasingcomplexity in the kitten formations induces more number of interference termsthat trigger more quantumness of the corresponding states. The nonclassicaldepth of the photon-added squeezed kitten states are observed to be of maximumpossible value. Employing the Lindblad master equation approach we study theamplitude and the phase damping models for the initial state considered here.In the phase damping model the nonclassicality is not completely erased even inthe long time limit when the dynamical quantities, such as the negativity$\delta_{W}$ and the tomogram, assume nontrivial asymptotic values.

Nonclassicality and decoherence of photon-added squeezed coherent Schr\"{o}dinger kitten states in a Kerr medium