Abstract
This work has been motivated through the paper [42] by S. Dey on the nonclassical properties of the deformed harmonic oscillators. We study the dynamics of the nonclassical properties and nonlocal correlation for deformed coherent states superposition (DCSS) subjects to decoherence effect due to a dissipative interaction in deformed spaces. We consider two types of deformations, q deformation that describes a large class of deformed harmonic oscillators and L deformation that enters in the real possibilities of trapped ion systems. We find that such a kind of superposition, that gives rise to a richer phase space structure, the nonclassicality, squeezing, and entanglement can survive and they are robust against decoherence. The present results show that DCSS have less optical noise under dissipative dynamics in comparison with the usual Schrodinger cat states and may open new perspectives for the experimental observation of macro realism in quantum mechanics.