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A significant problem facing next-generation quantum technologies is how togenerate and manipulate macroscopic entanglement in light and matter systems.Here we report a new regime of dynamical light-matter behavior in which agiant, system-wide entanglement is generated by varying the light-mattercoupling at \emph{intermediate} velocities. This enhancement is far larger andbroader-ranged than that occurring near the quantum phase transition of thesame model under adiabatic conditions. By appropriate choices of the couplingwithin this intermediate regime, the enhanced entanglement can be made tospread system-wide or to reside in each subsystem separately.

Large dynamic light-matter entanglement from driving neither too fast nor too slow