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In this manuscript, working with a binary mechanical system, we examine theeffect of quantum gravity on the exceptional points of the system. On the oneside, we find that the exceedingly weak effect of quantum gravity can be sensedvia pushing the system towards a second-order exceptional point, where thespectra of the non-Hermitian system exhibits non-analytic and evendiscontinuous behavior. On the other side, the gravity perturbation will affectthe sensitivity of the system to deposition mass. In order to further enhancethe sensitivity of the system to quantum gravity, we extend the system to theother one which has a higher-order (third-order) exceptional point. Our workprovides a feasible way to use exceptional points as a new tool to explore theeffect of quantum gravity.

Detecting the effects of quantum gravity with exceptional points in optomechanical sensors