  In this study, we have proposed a method based on non-equilibrium effects to
generate the superposition of macroscopically distinguishable quantum states,
known as Schrodinger cat states, by using a Mach-Zehnder interferometry type
experiment. Interaction of the input number state with a Kerr medium in the
presence of a couple of heat baths in different temperatures in interaction
picture and without imposing Markov assumption is considered. We have shown
that the study of dynamics of the cat states under non-equilibrium condition
open a way for the robustness of quantum features against the destructive role
of the environment even at high temperature limit. It is verified that mutual
influence of the environments, far from equilibrium, on the open system, makes
it possible to revive quantum beats for longer time intervals. Moreover, we
have probed how the traits of the environment, like its temperature and the
Ohmic, super-Ohmic or sub-Ohmic functionality of the spectral density, may
affect the pattern of the oscillation between alive or dead states of the cat.
