We consider the dynamics of a quantum impurity after a sudden interaction quench into a onedimensional degenerate Bose gas. We use the Keldysh path integral formalism to derive a truncated
Wigner like approach that takes the back action of the impurity onto the condensate into account
already on the mean-field level and further incorporates thermal and quantum effects up to oneloop accuracy. This framework enables us not only to calculate the real space trajectory of the
impurity but also the absorption spectrum. We find that quantum corrections and thermal effects
play a crucial role for the impurity momentum at weak to intermediate impurity-bath couplings.
Furthermore, we see the broadening of the absorption spectrum with increasing temperature.