Optimal estimation with quantum optomechanical systems in the nonlinear regime
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.
Cite
@article{arxiv.1910.04485,
title = {Optimal estimation with quantum optomechanical systems in the nonlinear regime},
author = {Fabienne Schneiter and Sofia Qvarfort and Alessio Serafini and André Xuereb and Daniel Braun and Dennis Rätzel and David Edward Bruschi},
journal= {arXiv preprint arXiv:1910.04485},
year = {2020}
}
Comments
24 pages, 3 figures