Neutral Impurities in a Bose-Einstein Condensate for Simulation of the Fr\"ohlich-Polaron

We present an experimental system to study the Bose polaron by immersion of single, well-controllable neutral Cs impurities into a Rb Bose-Einstein condensate (BEC). We show that, by proper optical traps, independent control over impurity and BEC allows for precision relative positioning of the two sub-systems as well as for independent read-out. We furthermore estimate that measuring the polaron binding energy of Fr\"ohlich-type Bose polarons in the low and intermediate coupling regime is feasible with our experimental constraints and limitations discussed.