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Observing signatures of light-induced Floquet topological states in materialshas been shown to be very challenging. Angle-resolved photoemissionspectroscopy (ARPES) is well suited for the investigation of Floquet physics,as it allows to directly probe the dressed electronic states of driven solids.Depending on the system, scattering and decoherence can play an important role,hampering the emergence of Floquet states. Another challenge is to disentangleFloquet side bands from laser-assisted photoemission (LAPE), since both lead tosimilar signatures in ARPES spectra. Here, we investigate the emergence ofFloquet state in the transition metal dichalcogenide $2H$-WSe$_2$, one of themost promising systems for observing Floquet physics. We discuss how theFloquet topological state manifests in characteristic features in the circulardichroism in photoelectron angular distributions (CDAD) that is determined bythe transient band structure modifications and the associated texture of theorbital angular momentum. Combining highly accurate modeling of thephotoemission matrix elements with an \emph{ab initio} description of thelight-matter interaction, we investigate regimes which can be realized incurrent state-of-the-art experimental setups. The predicted features are robustagainst scattering effects and are expected to be observed in forthcomingexperiments.

Probing Topological Floquet States in WSe$_2$ using Circular Dichroism in Time- and Angle-Resolved Photoemission Spectroscopy