Ground-state cooling of mechanical motion via phase-controlled dissipative optomechanical coupling

We study static behavior and mechanical cooling of a dissipative optomechanical system by considering a phase-controlled coupling strength. We find that the static displacement of the mechanical oscillator vanishes when the dissipative coupling strength becomes purely imaginary, while a real coupling strength gives rise to a driving power-dependent static mechanical displacement. The absence of static displacement sustains the resonance linewidth of the effective Fabry-P\'erot cavity and guarantees the approximation of a linear dissipative coupling. In this case, we show that the membrane can be cooled from the cryogenic temperature to its quantum ground state outside the resolved-sideband limit with a moderately strong driving operating at the red-detuned regime, where the optomechanical cooling rate can be competitive with typical schemes that utilize a real coupling strength and a blue-detuned laser drive. The dissipative optomechanical system with a phase-controlled coupling strength offers the flexibility to investigate fundamental optomechanical effects and may find potential applications in high-sensitive position transduction.