  We investigate the crossover of the impurity-induced dynamics, in trapped
one-dimensional Bose polarons subject to radio frequency (rf) pulses of varying
intensity, from an adiabatic to a diabatic regime. Utilizing adiabatic pulses
for either weak repulsive or attractive impurity-medium interactions, a
multitude of polaronic excitations or mode-couplings of the impurity-bath
interaction with the collective breathing motion of the bosonic medium are
spectrally resolved. We find that for strongly repulsive impurity-bath
interactions, a temporal orthogonality catastrophe manifests in resonances in
the excitation spectra where impurity coherence vanishes. When two impurities
are introduced, impurity-impurity correlations, for either attractive or strong
repulsive couplings, induce a spectral shift of the resonances with respect to
the single impurity. For a heavy impurity, the polaronic peak is accompanied by
a series of equidistant side-band resonances, related to interference of the
impurity spin dynamics and the sound waves of the bath. In all cases, we enter
the diabatic transfer regime for an increasing bare Rabi frequency of the rf
field with a Lorentzian spectral shape featuring a single polaronic resonance.
The findings in this work on the effects of external trap, rf pulse and
impurity-impurity interaction should have implications for the new generations
of cold-atom experiments.
