Abstract

We report a theoretical study of the bistability of cavity magnon polaritons (CMPs) controlled by dual magnetic nonlinearities. Based on the magnon Kerr effect, we introduce the nonlinear magnon effect in this hybrid system without using the Holstein–Primakoff transformation and find that these two types of nonlinear mechanisms jointly determine the bistability of the system. When the lower-branch polariton is exposed to a microwave driving field, the magnon frequency shift gives rise only to a clockwise hysteresis loop with the appearance of bistability. However, when the upper-branch polariton is exposed to a microwave driving field, the magnon frequency shift produces either a clockwise or counterclockwise hysteresis loop. Interestingly, the bistability vanishes because the Kerr effect cancels the nonlinear magnon effect. Moreover, the simultaneous bistability of both the lower- and upper-branch polaritons occurs when the microwave driving field drives one of the two polaritons. These results for the dual magnetic nonlinearities in CMPs offer more possibilities for information processing and cavity spintronic device design.

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