  Recent experiments with Bose-Einstein condensates have entered a regime in
which thousands of ground-state condensate atoms fill the Rydberg-electron
orbit. After the excitation of a single atom into a highly excited Rydberg
state, scattering off the Rydberg electron sets ground-state atoms into motion,
such that one can study the quantum-many-body dynamics of atoms moving within
the Rydberg atom. Here we study this many-body dynamics using Gross-Pitaevskii
and truncated Wigner theory. Our simulations focus in particular on the
scenario of multiple sequential Rydberg excitations on the same Rubidium
condensate which has become the standard tool to observe quantum impurity
dynamics in Rydberg experiments. We investigate to what extent such experiments
can be sensitive to details in the electron-atom interaction potential, such as
the rapid radial modulation of the Rydberg molecular potential, or p-wave shape
resonance. We demonstrate that both effects are crucial for the initial
condensate response within the Rydberg orbit, but become less relevant for the
density waves emerging outside the Rydberg excitation region at later times.
Finally we explore the local dynamics of condensate heating. We find that it
provides only minor corrections to the mean-field dynamics.
