# Tunable magnon-photon coupling in a compensating ferrimagnet - from weak to strong coupling

## TL;DR

This paper experimentally demonstrates tunable magnon-photon coupling in GdIG, showing a transition from weak to strong coupling by temperature control, and confirms the square root dependence of coupling strength on magnetization.

## Contribution

It provides the first experimental observation of tunable magnon-photon coupling in a compensating ferrimagnet with detailed modeling and analysis.

## Key findings

- Strong coupling regime is easily accessible with GdIG.
- Effective coupling strength follows the predicted square root dependence on magnetization.
- Transition from weak to strong coupling observed by temperature variation.

## Abstract

We experimentally study the magnon-photon coupling in a system consitsing of the compensating ferrimagnet gadolinium iron garnet (GdIG) and a three-dimensional microwave cavity. The temperature is varied in order to tune the GdIG magnetization and to observe the transition from the weak coupling regime to the strong coupling regime. By measuring and modelling the complex reflection parameter of the system the effective coupling rate g eff and the magnetization M eff of the sample are extracted. Comparing g eff with the magnon and the cavity decay rate we conclude that the strong coupling regime is easily accessible using GdIG. We show that the effective coupling strength follows the predicted square root dependence on the magnetization.