# Synchronized spin-photon coupling in a microwave cavity

## TL;DR

This paper demonstrates how the relative phase shift between two ferromagnetic resonance drives can control spin-photon coupling in a microwave cavity, enabling phase locking and enhanced transmission.

## Contribution

It introduces phase-resolved control of spin-photon coupling, showing how phase differences manipulate the anticrossing gap and achieve phase locking.

## Key findings

- Anticrossing gap narrows with increasing phase difference.
- Phase locking occurs at a phase difference of π.
- Linewidth drops and transmission improves near resonance.

## Abstract

We study spin-photon coupling in cavity in the presence of relative phase shift between two ferromagnetic resonance driving forces. We show that the anticrossing gap can be manipulated by varying the relative phase. Increasing the phase difference leads to narrowing the anticrossing gap of hybridized modes and eventually to phase locked coupling at the value of relative phase of {\pi}: The FMR and cavity modes become phase locked and oscillate at the same frequency near the resonance frequency. Characteristic linewidth drop and transmission amplitude enhancement are demonstrated. The phase resolved spin-photon coupling can be used both for phase imaging and controlling coupling parameters.