Optimal estimation of gravitation with Kerr nonlinearity in an optomechanical system

Zeptometer displacement sensing using cavity opto-magneto-mechanics

“…In recent years optomechanical systems have been proven useful for sensing purposes due to the inherent nonlinear coupling between photons and mechanical modes. In particular, it has been shown theoretically that this nonlinearity can be used to achieve sensitivity in gravitational acceleration measurements many orders of magnitude higher than atomic interferometers [6,7,8,9], and can also be used effectively for magnetometry [10,11], precise force sensing [12,13,14,15], sideband cooling [16,17,18,19], and displacement sensing [20,14,21,22,23]. These works use different quantum resources to improve sensing, such as exploitation of quantum correlations, injection of squeezed states of light and implementation of nonlinear optomechanical resonators etc.…”