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We propose and analyse a feasible experimental scheme for a quantum forcesensor based on the elimination of back-action noise through coherent quantumnoise cancellation (CQNC) in a hybrid atom-cavity optomechanical setup assistedwith squeezed vacuum injection. The force detector, which allows for acontinuous, broad-band detection of weak forces well below the standard quantumlimit (SQL), is formed by a single optical cavity simultaneously coupled to amechanical oscillator and to an ensemble of ultracold atoms. The latter acts asa negative-mass oscillator so that atomic noise cancels exactly the back-actionnoise from the mechanical oscillator due to destructive quantum interference.Squeezed vacuum injection enforces this cancellation and allows to reachsub-SQL sensitivity in a very wide frequency band, and at much lower inputlaser powers.

Force sensing based on coherent quantum noise cancellation in a hybrid optomechanical cavity with squeezed-vacuum injection