Dynamical encircling of the exceptional point in a largely detuned multimode optomechanical system

Dynamical encircling of the exceptional point (EP) reveals a number of intriguing physical phenomena and their potential applications. To enrich the manipulations of optical systems in experiments, we study the dynamic encircling of the EP, that is, the state transfer process, in a largely detuned multimode optomechanical system. The process of state transfer has been investigated with different factors regarding the location of the start point, orientation, and initial state of the trajectories around the EP in the parameter space. The results show that nonreciprocal and chiral topological energy transfers between two optical modes are performed successfully by tuning the effective optomechanical coupling into a multimode system with large detuning. Moreover, the evolution speed of the system parameters is also discussed. Our work demonstrates the fundamental physics of the EP in the large detuning domain of a multimode optomechanical system and provides an alternative for manipulating optical modes in non-Hermitian systems.