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Physical Review Applied

Entangling a Magnon and an Atomic Ensemble Mediated by an Optical Cavity

Yue Wu, Jun‐Hao Liu, Ya‐Fei Yu, Zhi‐Ming Zhang, Jindong Wang

Published Sep 19, 2023• 20 citations
Publisher

Abstract

We propose a scheme to entangle a magnon in an yttrium iron garnet sphere with an atomic ensemble by using an optical cavity as the qubus. The cavity mode couples with the magnon through magnetic dipole interaction, and simultaneously couples with the atomic ensemble through Jaynes-Cummings interaction. Moreover, the magnon couples with the mechanical vibration mode of the yttrium iron garnet sphere via magnetostrictive interaction. In this hybrid system, we find that there exist six kinds of bipartite entanglements, including the entanglement between the magnon and the atomic ensemble, and we use logarithmic negativity ${E}_{N}$ for quantification. Our findings demonstrate the phenomena of entanglement sudden death, entanglement sudden revival, and entanglement transfer among the six bipartite entanglements. Then we focus on entanglement between a magnon and an atomic ensemble, and we show that the entanglement can be effectively enhanced by increase of the magnetic dipole coupling or the magnetostrictive coupling. Finally, we discuss the robustness and find that incorporating an atomic ensemble into the system could enhance the steady-state entanglement's tolerance to the environmental temperature.

DOI
10.1103/physrevapplied.20.034043

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We propose a scheme to entangle a magnon in an yttrium iron garnet sphere with an atomic ensemble by using an optical cavity as the qubus. The cavity mode couples with the magnon through magnetic dipole interaction, and simultaneously couples with the atomic ensemble through Jaynes-Cummings interaction. Moreover, the magnon couples with the mechanical vibration mode of the yttrium iron garnet sphere via magnetostrictive interaction. In this hybrid system, we find that there exist six kinds of bipartite entanglements, including the entanglement between the magnon and the atomic ensemble, and we use logarithmic negativity EN{E}_{N}EN​ for quantification. Our findings demonstrate the phenomena of entanglement sudden death, entanglement sudden revival, and entanglement transfer among the six bipartite entanglements. Then we focus on entanglement between a magnon and an atomic ensemble, and we show that the entanglement can be effectively enhanced by increase of the magnetic dipole coupling or the magnetostrictive coupling. Finally, we discuss the robustness and find that incorporating an atomic ensemble into the system could enhance the steady-state entanglement's tolerance to the environmental temperature.
We present a scheme to generate distant bipartite and tripartite entanglement between an atomic ensemble and an yttrium iron garnet (YIG) sphere in coupled microwave cavities. We consider an atomic ensemble in a single-mode microwave cavity which is coupled with a second single-mode cavity having a YIG sphere. Our system, therefore, has five excitation modes, namely, cavity-1 photons, an atomic ensemble, cavity-2 photons, a magnon and a phonon mode in the YIG sphere. We show that significant bipartite entanglement exists between indirectly coupled subsystems in the cavities which is robust against temperature. Moreover, we present suitable parameters for a significant tripartite entanglement of the ensemble, magnon, and phonon modes. We also demonstrate the existence of tripartite entanglement between the magnon and phonon modes of the YIG sphere with indirectly coupled cavity photons. Interestingly, this distant tripartite entanglement is of the same order as that previously found for a single-cavity system. We show that cavity-cavity coupling strength affects both the degree and transfer of quantum entanglement between various subsystems. Therefore, an appropriate cavity-cavity coupling optimizes the distant entanglement by increasing the entanglement strength and its robustness against temperature.
In this paper, we propose a quantum interference mediated control of switching between magnon-atom entanglement and magnon blockade. A three-level $\mathrm{\ensuremath{\Lambda}}$ configuration atomic ensemble and a yttrium iron garnet sphere are simultaneously coupled to a microwave cavity mode through magnetic dipole interaction. By applying two strong fields to drive the atoms, the resonant coupling between a dressed-state atomic transition and the magnon mode, without direct interaction, is established by adiabatically eliminating the cavity field. Interestingly, the anti-Jaynes-Cummings (JC) interaction and the JC interaction are alternatively formed when the atoms are trapped into different superposition states induced by quantum interference, causing the appearance of hybrid magnon-atom entanglement and magnon quantum blockade, respectively. The coherent-controlled hybrid magnon-atom entanglement and magnon blockade may find potential applications in quantum information processing.
In this work, we present a hybrid cavity opto-magnomechanical system to generate distant bipartite entanglement between different quantum carriers. Accordingly, the system consists of two cavity photons, a phonon of yttrium iron garnet (YIG), a magnon, and a phonon of membrane. Specifically, the two cavities are coupled through an optical fiber, and one of the optical cavities consists of a membrane coupled with the cavity photon through radiation pressure force. While the other cavity contains a YIG, the magnon mode connects to the cavity photon via magnetic dipole interaction and, simultaneously, couples to the mechanical resonator of the YIG through magnetostrictive interaction. We show that entanglement generation can be realized under indirectly coupled bipartitions for parameters and detunings within appropriate regimes. Furthermore, for various bipartitions, we also obtain appropriate cavity and magnon detuning values for a considerable remote entanglement. Moreover, the generation of distant bipartite entanglements and entanglement transfer between subsystems is predominantly influenced by the coupling strength. Remarkably, the distant bipartite entanglement is strongly contrary to the environmental temperature. Thus, optimizing the system’s parameters allows for the maximum possible entanglement between various quantum carriers. We believe our results could provide more stable bipartite entanglements and serve as a potential quantum interface to realize particularly long-range entanglement transfers.
We show how to prepare macroscopic entanglement between an atomic ensemble and a large number of magnons in a ferrimagnetic yttrium-iron-garnet crystal. Specifically, we adopt an optomagnomechanical configuration where the magnetostriction-induced magnomechanical displacement couples to an optical cavity via radiation pressure, and the latter further couples to an ensemble of two-level atoms that are placed inside the cavity. We show that, by properly driving the cavity and magnon modes, optomechanical entanglement is created which is further distributed to the atomic and magnonic systems, yielding stationary entanglement between atoms and magnons. The atom-magnon entanglement is a result of the combined effect of opto- and magnomechanical cooling and optomechanical parametric down-conversion interactions. A competition mechanism between two mechanical cooling channels is revealed. We further show that genuine tripartite entanglement of three massive subsystems, i.e., atoms, magnons, and phonons, can also be achieved in the same system. Our results indicate that the hybrid optomagnomechanical system may become a promising system for preparing macroscopic quantum states involving magnons, photons, phonons, and atoms.
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.
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.