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Abstract: In this talk I will discuss the essential role that interspecies correlations can play on the formation of many-particle polaronic states. In particular I will focus on a system of a few impurity fermions immersed in a larger bosonic component which are both trapped in a 1D lattice. Through DMRG calculations I will show how strong impurity-bath correlations can impede self-localization of the impurities, leading to the suppression of phase separation that would emerge in uncorrelated mixtures. Instead, a many-particle polaron state can be formed depending on the boundary conditions that are chosen. This tightly bound state of clustered particles emerges due to the aforementioned strong impurity-bath correlations which induce large impurity-impurity correlations, that we quantify via the von Neumann entropy and bipartite mutual information respectively. The correlation properties of the background bosonic component, whether superfluid or insulator, also effects the growth of induced correlations between the impurities and the transition to the polaron state.  In particular, this imposes a limit on the maximum number of impurities that can form a polaron, beyond which phase separation is recovered. Finally, I will briefly discuss our ongoing projects which focus on impurities and induced correlations in continuum systems.