Nonlinear systems possess complex dynamic behaviors and transition characteristics among various states, which make the behaviors of nonlinear systems hard to predict and control. Here we study state transfer in a nonlinear cavity magnonic system containing the photon and magnon Kerr effects. In this system, the magnon frequency shift exhibits bistability and tristability with coexisting stable states. A given initial state is transferred to one of the coexisting states. Although state transfer is shown from the perspective of the number of excited magnons, which is proportional to the magnon frequency shift, the coexisting state to which the initial state is transferred is determined jointly by the amplitude and phase of the magnon and photon, rather than by the number of excited magnons. Based on the basins of attraction, we explain state transfer and reveal its nonlinear feature. Our findings provide a deeper comprehension of complex dynamic behaviors and contribute to the exploration of effective methods and strategies for controlling different states in a nonlinear cavity magnonic system.

• Received 25 December 2023
• Revised 10 March 2024
• Accepted 3 May 2024

DOI:https://doi.org/10.1103/PhysRevB.109.184308