Quantum Darwinism in a structured spin environment

We examine the emergence and suppression of signatures quantum Darwinism when system interest interacts with a complex, structured environment. introduce an extended spin-star model where is coupled to $N$ independent spin-chains. Each site chain then lives in definite layer environment, hence we term this "onion" model. fix system-environment interaction such that classical objectivity guaranteed if environment consists single layer. Considering fully factorized initial state for all constituent sub-systems, how proliferation are delicately dependent on interaction, establishing chains considered as indivisible fragments be interrogated, characteristic redundancy plateaux always observed at least transiently. In contrast, observing redundant encoding specific highly sensitive nature interaction. Finally, consider case which each initialized ground Hamiltonian, shares qualitative features case, however now strength applied magnetic field has significant impact whether can observed. demonstrate presence or absence Darwinistic understood by analysing correlations within using total mutual information global discord.