Abstract

We propose a scheme to entangle two magnon modes via Kerr nonlinear effect when driving the systems far-from-equilibrium. We consider two macroscopic yttrium iron garnets (YIGs) interacting with a single-mode microcavity through the magnetic dipole coupling. The Kittel mode describing the collective excitations of large number of spins are excited through driving cavity with a strong microwave field. We demonstrate how the Kerr nonlineraity creates the entangled quantum states between the two macroscopic ferromagnetic samples, when the microcavity is strongly driven by a blue-detuned microwave field. Such quantum entanglement survives at the steady state. Our work offers new insights and guidance to designate the experiments for observing the entanglement in massive ferromagnetic materials. It can also find broad applications in macroscopic quantum effects and magnetic spintronics.

Highlights

  • Recent advances in ferromagnetic materials have drawn considerable attention in studies of quantum nature in magnetic systems, as the limitations of electrical circuitry are reached

  • We have proposed a protocol for entangling the magnon modes in two massive Yttrium iron garnet (YIG) spheres, through the Kerr nonlinearity that originates from the magnetocrystalline anisotropy

  • Our work demonstrates the stationary entanglement between two macroscopic YIG spheres driven far from equilibrium, within the experimentally feasible parameter regime

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Summary

INTRODUCTION

Recent advances in ferromagnetic materials have drawn considerable attention in studies of quantum nature in magnetic systems, as the limitations of electrical circuitry are reached. Of particular interest are magnon polaritons, where strong and even ultrastrong light-matter couplings can be achieved, along with the fact of their high spin density and low dissipation rate [25,26,27,28,29,30,31] This may serve as a potential candidate for implementing quantum information transducers and memories [31,32]. Recent experiments in YIG spheres demonstrated the multistability and photon-mediated control of spin current, due to the Kerr effect [36,37,38]. These have been manifested by the excited-state dynamics in dye molecules and even bacteria, implying the entangled quantum states when interacting with microcavities [39,40,41,42,43]

MODEL AND EQUATION OF MOTION
ENTANGLEMENT BETWEEN MAGNON MODES
Magnon-magnon and magnon-photon entanglements
Magnon-magnon-photon entanglement
CONCLUSION AND REMARKS

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