  Quantum Darwinism explains the emergence of a classical description of
objects in terms of the creation of many redundant registers in an environment
containing their classical information. This amplification phenomenon, where
only classical information reaches the macroscopic observer and through which
different observers can agree on the objective existence of such object, has
been revived lately for several types of situations, successfully explaining
classicality. We explore quantum Darwinism in the setting of an environment
made of two level systems which are initially prepared in the ground state of
the XX model, which exhibits different phases; we find that the different
phases have different ability to redundantly acquire classical information
about the system, being the "ferromagnetic phase" the only one able to complete
quantum Darwinism. At the same time we relate this ability to how non-Markovian
the system dynamics is, based on the interpretation that non-Markovian dynamics
is associated to back flow of information from environment to system, thus
spoiling the information transfer needed for Darwinism. Finally, we explore
mixing of bath registers by allowing a small interaction among them, finding
that this spoils the stored information as previously found in the literature.
