  We study the ground-state phase diagram and dynamics of the one-dimensional
cluster model with several competing interactions. Paying particular attention
to the relation between the entanglement spectrum (ES) and the bulk topological
(winding) number, we first map out the ground-state phases of the model and
determine the universality classes of the transitions from the exact solution.
We then investigate the dynamical properties during interaction sweeps through
the critical points of topological phase transitions. When the sweep speed is
slow, the correlation functions and the entanglement entropy exhibit spatially
periodic structures. On top of this, the levels in the ES oscillate temporally
during the dynamics. By explicitly calculating the above quantities for excited
states, we attribute these behaviors to the Bogoliubov quasiparticles generated
near the critical points. We also show that the ES reflects the strength of the
Majorana correlation even for the excited states.
