“…Different from the classical properties of the mechanical systems at room temperature, the quantum properties of the mechanical systems are presented only at sufficiently low temperatures where the thermal fluctuations are suppressed. To suppress the thermal fluctuations of the mechanical systems and study their quantum properties, various ground-state cooling schemes have been proposed, such as cooling with dissipative coupling [25,26], quadratic coupling [27,28], resolved sideband cooling [29][30][31][32], the feedback cooling [33,34], including coherent feedback [35], cooling with static electrical interaction without any auxiliary qubit or photonic systems [36], hot thermal light cooling [37], time-dependent control cooling [38], measurement-based cooling [39], dynamic dissipative cooling [40], and quantum cooling in the strong [41] and weak [42] optomechanical-coupling regime. Experimentally, efficient cooling of a MR with high frequency ω m ≃ 2π × 6 GHz down to the ground state (with an average phonon number ⟨n⟩ ≃ 0.07) was achieved with a direct refrigerator of 25 mK [43].…”