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Journal of the Optical Society of America B

Tripartite entanglement in a Laguerre–Gaussian rotational-cavity system with an yttrium iron garnet sphere

Hao-Jie Cheng, Shu-Jie Zhou, Jia‐Xin Peng, Akash Kundu, Hong-Xue Li, Lei Jin, Xun‐Li Feng

Published Dec 7, 2020• 31 citations
Publisher

Abstract

We propose a scheme that can realize the tripartite entanglement between the Laguerre–Gaussian (L–G) cavity mode, magnon mode, and phonon (rotating) mode in a hybrid rotating cavity optomechanical system with an yttrium iron garnet sphere inside the cavity. The excited magnon mode and the L–G cavity mode are related through the magnetic dipole interaction, and the L–G cavity mode can exchange orbital angular momentum (OAM) with the rotating mirror. In this way, the magnon mode and the rotating mirror are connected through the L–G cavity mode. Our results show that physical parameters such as OAM of the L–G cavity mode, detuning of the magnon mode, and effective detuning of the cavity mode play different roles in establishing entanglements.

DOI
10.1364/josab.405097

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We propose a scheme that can realize the tripartite entanglement between the Laguerre–Gaussian (L–G) cavity mode, magnon mode, and phonon (rotating) mode in a hybrid rotating cavity optomechanical system with an yttrium iron garnet sphere inside the cavity. The excited magnon mode and the L–G cavity mode are related through the magnetic dipole interaction, and the L–G cavity mode can exchange orbital angular momentum (OAM) with the rotating mirror. In this way, the magnon mode and the rotating mirror are connected through the L–G cavity mode. Our results show that physical parameters such as OAM of the L–G cavity mode, detuning of the magnon mode, and effective detuning of the cavity mode play different roles in establishing entanglements.
We theoretically investigate continuous variable entanglement and macroscopic quantum coherence in the hybrid L-G rotational cavity optomechanical system containing two YIG spheres. In this system, a single L-G cavity mode and both magnon modes (which are due to the collective excitation of spins in two YIG spheres) are coupled through the magnetic dipole interaction whereas the L-G cavity mode can also exchange orbital angular momentum (OAM) with the rotating mirror (RM). We study in detail the effects of various physical parameters like cavity and both magnon detunings, environment temperature, optorotational and magnon coupling strengths on the bipartite entanglement and the macroscopic quantum coherence as well. We also explore parameter regimes to achieve maximum values for both of these quantum correlations. We also observed that the parameters regime for achieving maximum bipartite entanglement is completely different from macroscopic quantum coherence. So, our present study shall provide a method to control various nonclassical quantum correlations of macroscopic objects in the hybrid L-G rotational cavity optomechanical system and have potential applications in quantum sensing, quantum meteorology, and quantum information science.
Abstract We propose to realize bipartite and tripartite entanglements transfer in a cavity magnomechanical system consisting of a microwave cavity with an yttrium iron garnet (YIG) sphere and a silicon-nitride membrane in it. The initial magnon–YIG phonon entanglement and photon-membrane phonon entanglement caused by the magnetostrictive interaction and the optomechanical interaction can be effectively transferred to magnon–membrane phonon entanglement and photon–YIG phonon entanglement. Photon–magnon–YIG phonon and photon–magnon–membrane phonon entanglements can also be realized in the system. These two types of tripartite entanglements can be easily transferred from one type to the other by adjusting the detuning or dissipation ratio. Moreover, the bipartite and tripartite entanglements and their transfer are all robust against temperature. Furthermore, by introducing supermodes formed by the photon and magnon modes, we find that the entanglement between the two mechanical modes can be obtained under the condition of an extremely low temperature. And the effective detuning region of the YIG phonon-membrane phonon entanglement is complementary to the detuning regions of other bipartite entanglements. Our results indicate that the combination of cavity magnomechanical and optomechanical systems could provide more flexible controllability of bipartite and tripartite entanglements and their transfer and could serve as a potential quantum interface among microwave, magnon, and mechanical systems.
Generating multipartite entanglement is always a popular research field in quantum information processing and quantum optics. In this paper, we propose a scheme to realize all bipartite entanglements and the genuine tripartite entanglement among photon, magnon, and phonon modes in a cavity-magnomechanical system. The center-of-mass motion of a yttrium iron garnet sphere couples to the magnon and constitutes photon-magnon-phonon tripartite interaction. By modulating the detuning between the cavity (magnon) mode and the driven field, we can obtain the optimal photon-phonon entanglement or magnon-phonon entanglement. The genuine tripartite entanglement can be prepared through a suitable detuning. We compare the different entanglement cases with and without effective direct cavity-magnon coupling. The results indicate that the photon-magnon entanglement can be enhanced by the effective cavity-magnon coupling strength, and all bipartite entanglements show greater robustness against the thermal phonon number. This investigation should be useful for phonon-involved multipartite quantum information processing and quantum precision measurement.
We theoretically propose a scheme for generating nonreciprocal macroscopic bipartite and tripartite entanglement using the Barnett effect in cavity-magnon optomechanics. The system consists of an optomechanical cavity and a rotatable yttrium iron garnet (YIG) sphere. Our results indicate that under appropriate parameter conditions, both bipartite entanglement and genuine tripartite entanglement can be generated between the cavity mode, mechanical mode, and magnon mode. Moreover, when the YIG sphere rotates, adjusting the magnetic field direction can induce a positive or negative Barnett shift, which leads to the nonreciprocity of entanglement, where entanglement exists in one chosen magnetic field direction and disappears in the other. Meanwhile, the macroscopic tripartite entanglement in the system is robust against thermal noise. Our work provides a possible avenue for quantum information processing, quantum chiral device integration, and multi-node quantum networks construction.
In this paper, we propose a scheme to prepare macroscopic tripartite magnon-phonon entanglement via orbital angular momentum (OAM) exchange. By placing two magnons into a cascade rotational cavity optomechanical system, we explore that the optimal tripartite magnon-phonon entanglement is achievable when one magnon mode is tuned to be resonant with the red sideband while the other one with the blue sideband in cavity-magnon dispersive regimes. On the other hand, it is found that the scheme for generating bipartite magnon-magnon entanglement is distinct from tripartite entanglement, wherein the entanglement is initially prepared between the cavity modes and then transferred to magnon modes when cavity-magnon resonant conditions are satisfied. Furthermore, we demonstrate that the tripartite and bipartite entanglements are optimal by taking moderate coupling strengths. The present scheme provides a method to obtain genuine multipartite entanglement, which may find potential applications for constructing a macroscopic quantum network.
We theoretically propose a cavity magnomechanical system with a levitated yttrium iron garnet sphere to study the entanglement characteristics between subsystems. The system consists of microwave photon, magnon, and mechanical phonon modes, where the photon and magnon modes can be driven by external microwave sources. We find that with the appropriate choice of the suspension position, the effective couplings between the cavity field and the magnon and phonon modes can be established, thus inducing the generation of bipartite entanglement and genuine tripartite entanglement in the system. Further, we also analyze in detail the influences of the radius of the sphere, the detunings of the cavity and magnon modes, the driving power, the frequency of the phonon mode, and the environment temperature on the characteristics of the quantum entanglement. The results obtained here indicate that the bipartite and tripartite entanglements can be manipulated by changing the radius and the oscillation frequency of the sphere in addition to changing the parameters of the cavity field, and therefore, the levitated magnomechanical system has a potential application in the study of macroscopic quantum phenomena.