O ct 2 01 8 Magnon chaos-order transition based on non-perturbative dynamics

Magnon as a quantized spin wave has attracted extensive attentions in various fields of physics such as magnon spintronics, microwave photonics, and cavity quantum electrodynamics. Here, we explore theoretically magnon chaos-order transition which is still remains largely unexplored in this emerging field. We find that the magnon chaos-order transition is phase-determined, and the duration of magnon chaos is cooperativitydependent. Furthermore, our analysis based on non-perturbative dynamics is quite nontrivial which provides a more comprehensive perspective to explore magnon-photon nonlinear interactions. Beyond their fundamental scientific significance, our results will deepen our understanding of nonlinear phenomena and chaos in magnonical system, and may find applications in chaos-based secure communication.