  The dynamics of a classical heavy particle moving in a quantum environment is
determined by a Langevin equation which encapsulates the effect of the
environment-induced reaction forces on the particle. For an open quantum system
these include a Born-Oppenheimer force, a dissipative force and a stochastic
force due to shot and thermal noise. Recently it was shown that these forces
can be expressed in terms of the scattering matrix of the system by considering
the classical heavy particle as a time-dependent scattering center, allowing to
demonstrate interesting features of these forces when the system is driven out
of equilibrium. At the same time, it is well known that small changes in a
scattering potential can have a profound impact on a fermionic system due to
the Anderson orthogonality catastrophe. In this work, by calculating the
Loschmidt echo, we relate Anderson orthogonality effects with the mesoscopic
reaction forces for an environment that can be taken out of equilibrium. In
particular we show how the decay of the Loschmidt echo is characterized by
fluctuations and dissipation in the system and discuss different quench
protocols.
