  We investigate the Loschmidt amplitude and dynamical quantum phase
transitions in multiband one dimensional topological insulators. For this
purpose we introduce a new solvable multiband model based on the
Su-Schrieffer-Heeger model, generalized to unit cells containing many atoms but
with the same symmetry properties. Such models have a richer structure of
dynamical quantum phase transitions than the simple two-band topological
insulator models typically considered previously, with both quasiperiodic and
aperiodic dynamical quantum phase transitions present. Moreover the aperiodic
transitions can still occur for quenches within a single topological phase. We
also investigate the boundary contributions from the presence of the
topologically protected edge states of this model. Plateaus in the boundary
return rate are related to the topology of the time evolving Hamiltonian, and
hence to a dynamical bulk-boundary correspondence. We go on to consider the
dynamics of the entanglement entropy generated after a quench, and its
potential relation to the critical times of the dynamical quantum phase
transitions. Finally, we investigate the fidelity susceptibility as an
indicator of the topological phase transitions, and find a simple scaling law
as a function of the number of bands of our multiband model which is found to
be the same for both bulk and boundary fidelity susceptibilities.
