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Motional ground-state cooling and quantum-coherent manipulation of mesoscopic mechanical systems are crucial goals in both fundamental physics and applied science. We demonstrate that the motional ground state can be achieved in the highly unresolved sideband regime, through coherent auxiliary cavity interferences. We further illustrate coherent strong Rabi coupling between indirectly coupled and individually optimized mechanical resonators and optical cavities through effective dark-mode interaction. The proposed approach provides a platform for quantum manipulation of mesoscopic mechanical devices beyond the resolved sideband limit. [ABSTRACT FROM AUTHOR]

We present an investigation of the temporal correlation of time-energy entangled photon pairs propagating through multi-frequency-channel dispersive media, in which photon spectra spread over multiple discrete frequency channels with dispersions. We have observed more complex coincidence structures including double coincidence envelopes and dependence on frequency detuning that are absent in the single-channel case. Our results on the correlation of the time-energy photonic entanglement in dispersive media with channel divisions would impact the fields of quantum metrology and communication. [ABSTRACT FROM AUTHOR]