  In finite systems driven unitarily across topological phase transitions, the
Chern number and the Bott index have been found to exhibit different behaviors
depending on the boundary conditions and on the commensurability of the
lattice. For periodic boundary conditions, the Chern number does not change for
finite commensurate lattices (or in the thermodynamic limit). On the other
hand, the Chern number can change for incommensurate lattices with periodic
boundary conditions and the Bott index can change for lattices with open
boundary conditions. Here we show that the scalings of the fields at which
those two indices change exhibit Landau-Zener and near-adiabatic regimes
depending on the speed at which the strength of the drive is ramped up and on
the system size. Those regimes are preceded by a regime in which the
topological indices do not change. The latter is the only regime that, for
nonvanishing ramp speeds, survives in the thermodynamic limit. We then show
that the dc Hall response can be used to detect topological phase transitions
independently of the behavior of the topological indices.
