Ionic polaron in a Bose-Einstein condensate

The presence of strong interactions in a many-body quantum system can lead to variety exotic effects. Here we show that even comparatively simple setup consisting charged impurity weakly interacting bosonic medium the competition length scales gives rise highly correlated mesoscopic state. Using Monte Carlo simulations, unravel its vastly different polaronic properties compared neutral impurities. Moreover, identify transition between regime amenable conventional perturbative treatment limit weak atom-ion and bound state with vanishing quasi-particle residue composed hundreds atoms. In order analyze structure corresponding states examine atom-atom correlation functions which both nontrivial properties. Our findings are directly relevant experiments using hybrid setups have recently attained ultracold regime.