  Global quenches of quantum many-body models can give rise to periodic
dynamical quantum phase transitions (DQPTs) directly connected to the zeros of
a Landau order parameter (OP). The associated dynamics has been argued to bear
close resemblance to Rabi oscillations characteristic of two-level systems.
Here, we address the question of whether this DQPT behavior is merely a
manifestation of the limit of an effective two-level system or if it can arise
as part of a more complex dynamics. We focus on quantum many-body scarring as a
useful toy model allowing us to naturally study state transfer in an otherwise
chaotic system. We find that a DQPT signals a change in the dominant
contribution to the wave function in the degenerate initial-state manifold,
with a direct relation to an OP zero only in the special case of occurring at
the midpoint of an evenly degenerate manifold. Our work generalizes previous
results and reveals that, in general, periodic DQPTs comprise complex many-body
dynamics fundamentally beyond that of two-level systems.
