Braiding of eigenvalues in the presented cavity-magnonics platform

Investigate whether and how complex eigenvalues (including zeros and poles of scattering submatrices and antimode eigenvalues) in the four-port, three-mode, multi-drive cavity-magnonics system can be braided, and characterize any resulting chirality and topological features within this architecture.

Background

Eigenvalue braiding has been observed in other non-Hermitian platforms, including magnonic systems where zeros and poles of the scattering matrix exhibit opposite chiralities. The present work introduces a multi-port, multi-drive cavity-magnonics device with controllable absorbing exceptional points in the antimode spectrum, suggesting the potential for rich topological behavior.

The authors highlight that extending braiding studies to their specific architecture remains unexplored, motivating a focused investigation into whether similar braiding phenomena can be realized and characterized in this multi-drive cavity-magnonics platform.