  THz radiation allows for the controlled excitation of vibrational modes in
molecules and crystals. We show that the circular motion of ions introduces
inertial effects on electrons. In analogy to the classical Coriolis and
centrifugal forces, these effects are the spin-rotation coupling, the
centrifugal field coupling, the centrifugal spin-orbit coupling, and the
centrifugal redshift. Depending on the phonon decay, these effects persist for
various picoseconds after excitation. Potential boosting of the effects would
make it a promising platform for vibration-based control of localized quantum
states or chemical reaction barriers.
