Schneiter, F; Qvarfort, S; Serafini, A; Xuereb, A; Braun, D; Rätzel, D; Bruschi, DE; (2020) Optimal estimation with quantum optomechanical systems in the nonlinear regime. Physical Review A , 101 , Article 033834. 10.1103/PhysRevA.101.033834.

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Abstract

We study the fundamental bounds on precision measurements of parameters contained in a time-dependent nonlinear optomechanical Hamiltonian, which includes the nonlinear light-matter coupling, a mechanical displacement term, and a single-mode mechanical squeezing term. By using a recently developed method to solve the dynamics of this system, we derive a general expression for the quantum Fisher information and demonstrate its applicability through three concrete examples: estimation of the strength of a nonlinear light-matter coupling, the strength of a time-modulated mechanical displacement, and a single-mode mechanical squeezing parameter, all of which are modulated at resonance. Our results can be used to compute the sensitivity of a nonlinear optomechanical system to a number of external and internal effects, such as forces acting on the system or modulations of the light--matter coupling.

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