We investigate new features, especially of entanglement dynamics, which arise
in a quantum-classical hybrid. As a model, we study the coupling between two
quantum mechanical two-level systems, i.e. two q-bits, and a classical harmonic
oscillator. Their interaction is described by a hybrid coupling, in accordance
with a recently developed quantum-classical hybrid theory. We discuss various
situations in which entanglement of the q-bits does (not) evolve. Furthermore,
we point out an experimental application in a hybrid cooling scheme and
indicate topics for future study.Comment: 16 pages, 9 figures; accepted for publication in Physica Script