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We demonstrate that entanglement can persistently recur in an oscillatingtwo-spin molecule that is coupled to a hot and noisy environment, in which nostatic entanglement can survive. The system represents a non-equilibriumquantum system which, driven through the oscillatory motion, is prevented fromreaching its (separable) thermal equilibrium state. Environmental noise,together with the driven motion, plays a constructive role by periodicallyresetting the system, even though it will destroy entanglement as usual. As abuilding block, the present simple mechanism supports the perspective thatentanglement can exist also in systems which are exposed to a hot environmentand to high levels of de-coherence, which we expect e.g. for biologicalsystems. Our results furthermore suggest that entanglement plays a role in theheat exchange between molecular machines and environment. Experimentalsimulation of our model with trapped ions is within reach of the currentstate-of-the-art quantum technologies.

Dynamic entanglement in oscillating molecules and potential biological implications