Enhanced weak force sensing based on atom-based coherent quantum noise cancellation in a hybrid cavity optomechanical system

We theoretically investigate the weak force-sensing based on coherent quantum noise cancellation (CQNC) scheme in a hybrid cavity optomechanical system containing a trapped ensemble of ultracold atoms and an optical parametric amplifier (OPA). In our proposed system the back action noise can be completely eliminated at all frequencies as well as through the proper choice of the OPA parameters noise spectral density can be also reduced at lower frequencies. This leads to the significant enhancement in the weak force sensing and also surpasses the standard quantum limit (SQL) even for small input power at lower detection frequency. Our study can be used for the realization of force sensor based on hybrid cavity optomechanical systems and for coherent quantum control in macroscopic systems.