Magnetoelectric Cavity Magnonics in Skyrmion Crystals

TL;DR

This paper develops a theory of magnetoelectric magnon-photon coupling in noncentrosymmetric magnetic cavities, demonstrating tunable interactions and potential quantum information applications using skyrmion-hosting materials.

Contribution

It introduces a novel theoretical framework for magnetoelectric cavity magnonics, highlighting electrical activity of skyrmion modes and proposing quantum information protocols.

Findings

Revealed electrical activity of skyrmion eigenmodes.

Predicted cavity-induced magnon-magnon coupling.

Proposed protocols for all-electrical quantum gates.

Abstract

We present a theory of magnetoelectric magnon-photon coupling in cavities hosting noncentrosymmetric magnets. Analogously to nonreciprocal phenomena in multiferroics, the magnetoelectric coupling is time-reversal and inversion asymmetric. This asymmetry establishes a means for exceptional tunability of magnon-photon coupling, which can be switched on and off by reversing the magnetization direction. Taking the multiferroic skyrmion-host Cu$_2$OSeO$_3$ with ultralow magnetic damping as an example, we reveal the electrical activity of skyrmion eigenmodes and propose it for magnon-photon splitting of ``magnetically dark'' elliptic modes. Furthermore, we predict a cavity-induced magnon-magnon coupling between magnetoelectrically active skyrmion excitations. We discuss applications in quantum information processing by proposing protocols for all-electrical magnon-mediated photon quantum gates, and a photon-mediated SPLIT operation of magnons. Our study highlights magnetoelectric cavity magnonics as a novel platform for realizing quantum-hybrid systems and the coherent transduction between photons and magnons in topological magnetic textures.