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We systematically study the influence of amplitude modulation on thesteady-state bosonic squeezing and entanglement in a dissipative three-modeoptomechanical system, where a vibrational mode of the membrane is coupled tothe left and right cavity modes via the radiation pressure. Numericalsimulation results show that the steady-state bosonic squeezing andentanglement can be significantly enhanced by periodically modulated externallaser driving either or both ends of the cavity. Remarkably, the fact that aslong as one periodically modulated external laser driving either end of thecavities is sufficient to enhance the squeezing and entanglement is convenientfor actual experiment, whose cost is that required modulation period number forachieving system stability is more. In addition, we numerically confirm theanalytical prediction for optimal modulation frequency and discuss thecorresponding physical mechanism.

Enhancement of steady-state bosonic squeezing and entanglement in a dissipative optomechanical system