Cavity-mediated coupling of phonons and magnons

Optomagnonics and optomechanics have various applications, ranging from tunable light sources to optical manipulation for quantum information science. We propose a hybrid system based on the interaction between a phonon and a magnon that can be tuned by an electromagnetic field based on the radiation pressure and magneto-optical effects. The self-energies 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 are illustrated considering the dynamical encircling with the exceptional points, and the chiral characteristics under these encirclements are found.