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Annalen der Physik

Entanglement and Asymmetric Steering Between Distant Magnon and Mechanical Modes in an Optomagnonic‐Mechanical System

Jing Cheng, Yu‐Mu Liu, Hong‐Fu Wang, X. X. Yi

Published Oct 31, 2022• 8 citations
Publisher

Abstract

Abstract A scheme is proposed to generate long‐distance entanglement and asymmetric steering between mechanical oscillator and magnon mode across the frequency difference of ≈10 GHz in an optomagnonic‐mechanical system composed of a magnon, a mechanical oscillator, and two cavities. The calculated results reveal that the long‐distance magnon–phonon entanglement can be achieved due to the fact that the quantum correlation of the two‐mode squeezed vacuum microwave field is successively transferred to the magnon mode and the phonon mode. Moreover, the entanglement is strong enough such that the quantum steering between magnon mode and phonon mode can be achieved in an asymmetric manner. Furthermore, the direction of quantum steering can be flexibly adjusted via changing the magnon damping rate, coupling strength, squeezing parameter, and bath temperature. The proposed scheme provides the possibility for the generation of macroscopic quantum entanglement and steering and has potential applications in quantum information processing.

DOI
10.1002/andp.202200315

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Abstract A scheme is proposed to generate long‐distance entanglement and asymmetric steering between mechanical oscillator and magnon mode across the frequency difference of ≈10 GHz in an optomagnonic‐mechanical system composed of a magnon, a mechanical oscillator, and two cavities. The calculated results reveal that the long‐distance magnon–phonon entanglement can be achieved due to the fact that the quantum correlation of the two‐mode squeezed vacuum microwave field is successively transferred to the magnon mode and the phonon mode. Moreover, the entanglement is strong enough such that the quantum steering between magnon mode and phonon mode can be achieved in an asymmetric manner. Furthermore, the direction of quantum steering can be flexibly adjusted via changing the magnon damping rate, coupling strength, squeezing parameter, and bath temperature. The proposed scheme provides the possibility for the generation of macroscopic quantum entanglement and steering and has potential applications in quantum information processing.
Abstract A hybrid system that combines cavity magnonics and cavity optomechanics is proposed to facilitate the generation of long‐distance entanglement and enable one‐way steering between magnons and phonons. This configuration involves two directly coupled cavities, with one interacting with magnons and the other coupling with a mechanical oscillator (i.e., phonons). By driving the microwave cavity with a weak squeezed vacuum field generated by a flux‐driven Josephson parametric amplifier, entanglement and one‐way steering can be further enhanced. Moreover, the results demonstrate that magnon–phonon entanglement and one‐way quantum steering exhibit robustness against temperature variations, which has significant implications for quantum information processing and storage.
We propose a simple scheme to generate quantum entanglement and one-way steering between distinct mode pairs in a generic cavity magnomechanical system, which is composed of a microwave cavity and a yttrium iron garnet sphere supporting magnon and phonon modes. The microwave cavity is pumped by a weak squeezed vacuum field, which plays an important role for establishing quantum entanglement and steering. It is found that when the magnon mode is driven by the red-detuned laser, the maximum entanglement between cavity mode and phonon mode and the maximum phonon-to-photon one-way steering can be effectively generated via adjusting the ratio of two coupling rates. While under the much weaker magnomechanical coupling, the quantum entanglement and one-way steering between cavity mode and magnon mode can be achieved, where the steering direction is determined merely by the relative dissipation strength of the cavity to the magnon mode. More interestingly, we reveal that the robustness to the temperature for entanglement and steering between any mode pairs can be evidently enhanced by selecting the squeezing parameter appropriately.
Abstract Manipulation of one‐way Gaussian steering in macroscopic systems is outstandingly challenging in modern physics. In this paper, a cavity magnomechanical system is used which is composed of two spatially separate microwave cavities and two massive yttrium iron garnet (YIG) spheres in order for one‐way Gaussian steering. The two cavities are pumped by a two‐mode squeezed light, while both two YIG spheres are individually driven by a classical field at a red sideband with respect to the magnon mode. By creating different excitations for the two phonon modes, the systemic symmetry is broken and one‐way Gaussian steering with strong entanglement between two phonon modes induced by the deformation of YIG spheres is achieved. This finding may provide a novel method to manipulate asymmetric quantum steering between two long‐distance macroscopic objects which is of great importance for quantum information processing.
ABSTRACT Recently, magnomechanical systems have emerged as promising platforms for quantum technologies, exploiting magnon–photon–phonon interactions to store high‐fidelity quantum information. In this paper, we propose a novel scheme to entangle two spatially separated ferrimagnetic YIG crystals by injecting a laser field into an optomagnonic ring cavity. The proposed optomagnomechanical configuration utilizes the coupling between magnetostriction‐induced mechanical displacements and the optical cavity via radiation pressure. Magnons, collective spin excitations in macroscopic ferrimagnets, are directly driven by an electromagnetic field. We demonstrate the generation of a robust macroscopic entangled state via exciting the optical cavity with a red‐detuned laser field and the YIG crystals with blue‐detuned microwave fields. Our analysis reveals that magnon entanglement vanishes for identical magnomechanical couplings and remains robust against thermal fluctuations. Moreover, the quantum steering can be tuned directionally by the asymmetry of the magnomechanical coupling, allowing for a selective control of the optomagnetic quantum correlations. The entangled magnon modes in two ferrimagnetic crystals represent genuine macroscopic quantum states with potential applications in the study of macroscopic quantum mechanics and quantum information processing based on magnonics. Our model is based on experimentally accessible parameters, providing a feasible route to quantum technologies.
Abstract It is showed how to generate and control the one‐way optomechanical steering in an optomagnomechanical system. In the scheme, the magnetostriction‐induced deformation displacement of a ferrimagnet couples to an optical cavity by radiation‐pressure interaction. The optical cavity resonates with the Stokes sideband of the laser drive field, leading to the optomechanical parametric down‐conversion interaction. The magnon mode resonates with the anti‐Stokes sideband of the microwave drive field, thereby cooling the mechanical motion. By adjusting the detuning between the magnon mode and the microwave drive field, we show the relative steady‐state population numbers of photons and phonons will be changed, therefore, the direction of the optomechanical steering can be controlled. The control of the quantum steering in this scheme does not require the introduction of additional dissipation and damping of the entangled parties, which means the one‐way steering can be generated with low mechanical damping, and has strong robustness against thermal noise. This finding may provide a novel platform to generate and control quantum steering in hybrid quantum system.
Abstract A scheme is proposed for generating controllable quantum correlations in a cavity‐magnomechanical system comprising a microwave cavity and two yttrium iron garnet (YIG) spheres. A single‐mode squeezed vacuum field drives the cavity, while a red‐detuned field excites the magnon modes within the YIG spheres. Activating the magnetostrictive effect in the spheres introduces phonon modes through geometric deformation. By linearizing the system dynamics and introducing slowly moving operators to neglect high‐frequency oscillatory terms, the correlated noise from the single‐mode squeezed vacuum field can be effectively transferred between the two magnon modes and the phonon modes. Control of the cavity‐magnon coupling rate breaks the system's symmetry, enabling the generation of tunable quantum squeezing, entanglement, and one‐way quantum steering. This tunability facilitates the development of quantum information processing platforms, offering a promising framework for advancing quantum information technologies.