Estimation of an optomechanical parameter via weak-value amplification

In this article we present an experimental proposal for the estimation of optomechanical parameter in presence noise. The is based on technique weak-value amplification which can enlarge radiation pressure effect a single photon mechanical oscillator. our setup show that preferable over method relies strong measurement with postselection because first does not require good prior knowledge wish to estimate, while both strategies reach same level precision from Fisher information perspective. strongly correlated noise, preferable, perspective, than standard strategy employ and affected by type