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We study the evolution of the hybrid entangled squeezed states of thequbit-oscillator system in the strong coupling domain. Following the adiabaticapproximation we obtain the reduced density matrices of the qubit and theoscillator degrees of freedom. The oscillator reduced density matrix isutilized to calculate the quasiprobability distributions such as theSudarshan-Glauber diagonal P -representation, the Wigner W -distribution, andthe nonnegative Husimi Q-function. The negativity associated with the W-distribution acts as a measure of the nonclassicality of the state. Theexistence of the multiple time scales induced by the interaction introducescertain features in the bipartite system. In the strong coupling regime thetransient evolution to low entropy configurations reveals brief emergence ofnearly pure kitten states that may be regarded as superposition of uniformlyseparated distinguishable squeezed coherent states. However, the quantumfluctuations with a short time period engender bifurcation and subsequentrejoining of these peaks in the phase space. The abovementioned doubling of thenumber of peaks increases the entropy to its near maximal value. Nonetheless,these states characterized by high entropy values, are endowed with a largenegativity of the W -distribution that points towards their non-Gaussianbehavior. This may be ascertained by the significantly large Hilbert-Schmidtdistance between the oscillator state and an ensemble of most generalstatistical mixture of squeezed Gaussian states possessing nearly identicalsecond order quadrature moments as that of the oscillator.

Deconstruction and differentiation of squeezed kitten states in a qubit-oscillator system