  Photo-induced edge states in low dimensional materials have attracted
considerable attention due to the tunability of topological properties and
dispersion. Specifically, graphene nanoribbons have been predicted to host
chiral edge modes upon irradiation with circularly polarized light. Here, we
present numerical calculations of time-resolved angle resolved photoemission
spectroscopy (trARPES) and time-resolved resonant inelastic x-ray scattering
(trRIXS) of a graphene nanoribbon. We characterize pump-probe spectroscopic
signatures of photo-induced edge states, illustrate the origin of distinct
spectral features that arise from Floquet topological edge modes, and
investigate the roles of incoming photon energies and finite core-hole lifetime
in RIXS. With momentum, energy, and time resolution, pump-probe spectroscopies
can play an important role in understanding the behavior of photo-induced
topological states of matter.
