Cavity mediated effective interaction between phonon and magnon

Optomagnonics and optomechanics have various applications ranging from tunable light sources to optical manipulation for quantum information science. Here, we propose a hybrid system with the interaction between phonon and magnon which could be tuned by the electromagnetic field based on the radiation pressure and magneto-optical effect. The self energy of the magnon and phonon induced by the electromagnetic field and the influence of the thermal noise are studied. Moreover, the topological features of the hybrid system is illustrated with resort to the dynamical encircling with the exceptional points, and the chiral characteristics under these encirclements are found.