  We present a numerical experiment that demonstrates the possibility to
capture topological phase transitions via an x-ray absorption spectroscopy
scheme. We consider a Chern insulator whose topological phase is tuned via a
second-order hopping. We perform time-dynamics simulations of the
out-of-equilibrium laser-driven electron motion that enables us to model a
realistic attosecond spectroscopy scheme. In particular, we use an ultrafast
scheme with a circularly polarized IR pump pulse and an attosecond x-ray probe
pulse. A laser-induced dichroism-type spectrum shows a clear signature of the
topological phase transition. We are able to connect these signatures with the
Berry structure of the system. This work extend the applications of attosecond
absorption spectroscopy to systems presenting a non-trivial topological phase.
