  We study the coherent non-equilibrium dynamics of interacting two-dimensional
systems after a quench from a trivial to a topological Chern insulator phase.
While the many-body wavefunction is constrained to remain topologically trivial
under local unitary evolution, we find that the Hall response of the system can
dynamically approach a thermal value of the post-quench Hamiltonian, even
though the efficiency of this thermalization process is shown to strongly
depend on the microscopic form of the interactions. Quite remarkably, the
effective temperature of the steady state Hall response can be arbitrarily
tuned with the quench parameters. Our findings suggest a new way of inducing
and observing low temperature topological phenomena in interacting ultracold
atomic gases, where the considered quench scenario can be realized in current
experimental set-ups.
