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We study the impact of induced correlations and quasiparticle properties byimmersing two distinguishable impurities in a harmonically trapped bosonicmedium. It is found that when the impurities couple both either repulsively orattractively to their host, the latter mediates a two-body correlated behaviorbetween them. In the reverse case, namely the impurities interact oppositelywith the host, they feature anti-bunching. Monitoring the impurities relativedistance and constructing an effective two-body model to be compared with thefull many-body calculations, we are able to associate the induced (anti-)correlated behavior of the impurities with the presence of attractive(repulsive) induced interactions. Furthermore, we capture the formation of abipolaron and trimer state in the strongly attractive regime. The trimer refersto the correlated behavior of two impurities and a representative atom of thebosonic medium and it is characterized by an ellipsoidal shape of thethree-body correlation function. Our results open the way for controllingpolaron induced correlations and creating relevant bound states.

Crossover from attractive to repulsive induced interactions and bound states of two distinguishable Bose polarons