  We investigate the stability of quantum many-body scars under perturbations,
within the PXP model. We numerically compute the fidelity and average
correlations to monitor the state evolution and to identify revivals. The
results indicate that, on the one hand, the entanglement entropy of PXP scars
exhibit great sensitivity, in the sense that their profile approaches the ones
expected for thermal states already for very small perturbations. On the other
hand, other scar signatures, such as the revivals of states having large
overlap with scars, show remarkable robustness. Additionally, we examined the
effects of minor disturbances on initial states that previously exhibited high
overlap with scars and consistent revivals. Our analysis revealed that
different types of disturbances can induce markedly different behaviors, such
as partially "freezing" the chain, leading to sustained oscillations, or
accelerating the process of thermalization.
