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We investigate new features, especially of entanglement dynamics, which arisein a quantum-classical hybrid. As a model, we study the coupling between twoquantum mechanical two-level systems, i.e. two q-bits, and a classical harmonicoscillator. Their interaction is described by a hybrid coupling, in accordancewith a recently developed quantum-classical hybrid theory. We discuss varioussituations in which entanglement of the q-bits does (not) evolve. Furthermore,we point out an experimental application in a hybrid cooling scheme andindicate topics for future study.

Entanglement dynamics in a quantum-classical hybrid of two q-bits and one oscillator