Effects of Kerr medium on force sensing in a dissipative optomechanical system

In this paper, we study the effects of the Kerr medium on the detection of a weak classical force acting on an optomechanical oscillator which is coupled purely dissipatively. We find that force sensing better than the standard quantum limit (SQL) of the mechanical oscillator can be achieved in the presence of Kerr medium. We show that increasing the strength of Kerr nonlinearity not only improves the force sensitivity but also increases the measurement bandwidth. Moreover, our results also show that the influence of thermal noise on force sensing is smaller in the presence of optical Kerr medium, thus making the system more robust against thermal fluctuations