  The Bose polaron is a quasiparticle that arises from the interaction between
impurities and Bogoliubov excitation in Bose-Einstein condensates, analogous to
the polaron formed by electrons and phonons in solid-state physics. In this
paper, we investigate the effect of phase separation on weakly coupled and
strongly coupled Bose polarons. Our findings reveal that phase separation
induces a remarkable alteration in the properties of weakly coupled Bose
polarons. However, in the case of strong coupling, phase separation cannot
destroy the highly self-trapping state of Bose polarons.
