We present a theoretical study of synchronization between two strongly driven magnon modes indirectly coupled via a single-mode microwave cavity. Each magnon mode, hosted in separate Yttrium Iron Garnet spheres, interacts coherently with the cavity field, leading to cavity-mediated nonlinear coupling. We show, by using input-output formalism, that both classical and quantum synchronization emerge for appropriate choices of coupling, detuning, and driving. We find that thermal noise reduces quantum synchronization, highlighting the importance of low-temperature conditions. This study provides useful insights into tunable magnonic interactions in cavity systems, with possible applications in quantum information processing and hybrid quantum technologies.
@article{arxiv.2507.17042,
title = {Quantum synchronization between two strongly driven YIG spheres mediated via a microwave cavity},
author = {Jatin Ghildiyal and Shubhrangshu Dasgupta and Asoka Biswas},
journal= {arXiv preprint arXiv:2507.17042},
year = {2026}
}