We present a plausible mechanism for achieving magnon-magnon level repulsion spectrum originating from the oscillation between the splitting and confluence in a three-magnon scattering process. When a magnetostatic mode on a YIG sphere is pumped by a microwave signal near the magnon resonance frequency with an increasing amplitude, the generated magnon condensate at half of the pumping frequency exerts a back-action to the original magnon mode. Such a strong nonlinear coupling manifests a striking feature of a 'bending effect' of the magnetostatic mode spectra, akin to the anti-crossing observed in a strongly coupled magnon-photon system.
@article{arxiv.2505.04783,
title = {Pump-induced magnon anticrossing due to three-magnon splitting and confluence},
author = {Tao Qu and Yuzan Xiong and Xufeng Zhang and Yi Li and Wei Zhang},
journal= {arXiv preprint arXiv:2505.04783},
year = {2025}
}