  We investigate quantum-squeezing-enhanced weak-force sensing via a nonlinear
optomechanical resonator containing a movable mechanical mirror and an optical
parametric amplifier (OPA). Herein, we determined that tuning the OPA
parameters can considerably suppress quantum noise and substantially enhance
force sensitivity, enabling the device to extensively surpass the standard
quantum limit. This indicates that under realistic experimental conditions, we
can achieve ultrahigh-precision quantum force sensing by harnessing nonlinear
optomechanical devices.
