  With light-matter interaction extending into strong regime, as well as rapid
development of laser technology, systems subjecting to a time-periodic
perturbation are attracted broad attention. Floquet theorem and Floquet
time-independent Hamiltonian are powerful theoretical framework to investigate
the systems subjecting to time-periodic drivings. In this study, we extend the
previous generalized SH algorithm near metal surface (J. Chem. Theory Comput.
2017, 13, 6, 2430-2439) to the Floquet space, and hence, we develop a
generalized Floquet representation based surface hopping (FR-SH) algorithm.
Here, we consider open quantum system with fast drivings. We expect that the
present algorithm will be useful for understanding the chemical processes of
molecules under time-periodic drivings near the metal surface.
