“…Having established an adequate understanding of the stationary properties of polarons, a natural next step which has been very recently put forward is to investigate their nonequilibrium dynamics [40,41] revealing peculiar correlation effects [36,[40][41][42][43][44][45][46]. Indeed, the crucial involve-ment of interparticle correlations can lead to non-linear structure formation [43,47], alterations of the breathing frequency [48], the manifestation of orthogonality catastrophe phenomena [41,49,50], dissipative motion of impurities in the many-body medium [51] and also their relaxation dynamics [46,52]. Other applications address impurity transport in optical lattices [53][54][55][56], their collisional dynamics when penetrating with a finite velocity a gas of Tonks-Girardeau bosons [57][58][59][60][61], the effective control of quantum coherence [62] and investigations of three-body Effimov physics [63,64].…”