  We theoretically demonstrate the feasibility of creating Bell states in
multi-component ultra-cold atomic gases by solely using the ability to control
the inter-particle interactions via Feshbach resonances. For this we consider
two distinguishable impurities immersed in an atomic background cloud of a few
bosons, with the entire system being confined in a one-dimensional harmonic
trap. By analyzing the numerically obtained ground states we demonstrate that
the two impurities can form spatially entangled bipolaron states due to
mediated interactions from the bosonic bath. Our analysis is based on
calculating the correlations between the two impurities in a two-mode basis,
which is experimentally accessible by measuring the particles positions in the
left or right sides of the trap. While interspecies interactions are crucial in
order to create the strongly entangled impurity states, it can also inhibit
correlations depending on the ordering of the impurities and three-body
impurity-bath correlations. We show how these drawbacks can be mitigated by
manipulating the properties of the bath, namely its size, mass and intraspecies
interactions, allowing to create impurity Bell states over a wide range of
impurity-impurity interactions.
