  We consider the time development of the density matrix for a system coupled
to a thermal bath, in models that go beyond the standard two-level systems
through addition of an energy excitation degree of freedom and through the
possibility of the replacement of the spin algebra by a more complex algebra.
We find conditions under which increasing the coupling to the bath above a
certain level decreases the rate of entropy production, and in which the
limiting behavior is a dissipationless sinusoidal oscillation that could be
interpreted as the synchronization of many modes of the uncoupled system.
