  We perform extensive benchmark comparisons of surface hopping dynamics with
numerically exact calculations for the spin-boson model over a wide range of
energetic and coupling parameters as well as temperature. We find that
deviations from golden-rule scaling in the Marcus regime are generally small
and depend sensitively on the energetic bias between electronic states. Fewest
switched surface hopping (FSSH) is found to be surprisingly accurate over a
large swath of parameter space. The inclusion of decoherence corrections via
the augmented FSSH (A-FSSH) algorithm improves the accuracy of dynamical
behavior compared to exact simulations, but the effects are generally not
dramatic, at least for the case of an environment modeled with the commonly
used Debye spectral density.
