Optimal quantum parameter estimation in a pulsed quantum optomechanical system

We propose that a pulsed quantum optomechanical system can be applied to the problem of quantum parameter estimation, which targets yielding a higher precision of parameter estimation utilizing quantum resources than using classical methods. Concentrating mainly on the quantum Fisher information with respect to the mechanical frequency, we find that the corresponding precision of parameter estimation for the mechanical frequency can be enhanced by applying applicable optical resonant pulsed driving to the cavity of the optomechanical system. Further investigation shows that the mechanical squeezing resulting from the optical pulsed driving is the quantum resource used in optimal quantum estimation of the frequency.