We consider a single spin in a constant magnetic field or an anisotropy fie
ld. We show that additional external time-periodic fields with zero mean ma
y generate nonzero time-averaged spin components which vanish for the time-
averaged Hamiltonian. The reason is a lowering of the dynamical symmetry of
the system. A harmonic signal with proper orientation is enough to display
the effect. We analyze the problem both with and without dissipation. The
results are of importance for controlling the system's state using high- or
low-frequency fields and for using new resonance techniques which probe in
ternal system parameters, to name a few. (C) 2001 Elsevier Science B.V. All
rights reserved.