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Journal of the Optical Society of America B

Nonlinear effects enhance entanglement of two magnon modes in cavity magnomechanics

Ke Di, Xi Wang, Shuai Tan, Yu Liu, Yinxue Zhao, Anyu Cheng, Jiajia Du

Published Jul 9, 2024• 1 citation
Publisher

Abstract

We propose a method to increase the entanglement of two different magnon modes in cavity magnomechanics through a nonlinear effect. One magnon mode in a ferrimagnet interacts with a deformed phonon mode through magnetostrictive contact in this system. Additionally, microwave parametric amplification (PA) considerably increases the entanglement of the two magnon modes. Magnon self-Kerr nonlinearity enhances entanglement within specific parameter values. Our proposed scheme may find applications in the study of fundamental theories in quantum physics and quantum information processing theory.

DOI
10.1364/josab.525408

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We propose a method to increase the entanglement of two different magnon modes in cavity magnomechanics through a nonlinear effect. One magnon mode in a ferrimagnet interacts with a deformed phonon mode through magnetostrictive contact in this system. Additionally, microwave parametric amplification (PA) considerably increases the entanglement of the two magnon modes. Magnon self-Kerr nonlinearity enhances entanglement within specific parameter values. Our proposed scheme may find applications in the study of fundamental theories in quantum physics and quantum information processing theory.
We present a scheme to enhance two different magnon modes entanglement in cavity magnomechanics via nonlinear effect. The scheme demonstrated that nonlinear effects enhance entanglement of the two magnon modes. Moreover, the entanglement of the two magnon modes is also significantly enhanced by microwave parametric amplification (PA) and magnon self-Kerr nonlinearity. Not only dose nonlinear effect enhances the strength of entanglement, but it also increases the robustness of entanglement against temperature. Our proposed scheme plays an important role in the research of fundamental theories of quantum physics and quantum information processing theory.
Abstract We present a scheme to entangle two magnon modes in a cavity magnomechanical system. The two magnon modes are embodied by collective motions of a large number of spins in two macroscopic ferrimagnets, and couple to a single microwave cavity mode via magnetic dipole interaction. We show that by activating the nonlinear magnetostrictive interaction in one ferrimagnet, realized by driving the magnon mode with a strong red-detuned microwave field, the two magnon modes can be prepared in an entangled state. The entanglement is achieved by exploiting the nonlinear magnon-phonon coupling and the linear magnon-cavity coupling, and is in the steady state and robust against temperature. The entangled magnon modes in two massive ferrimagnets represent genuinely macroscopic quantum states, and may find applications in the study of macroscopic quantum mechanics and quantum information processing based on magnonics.
We investigate the generation of entanglement in a cavity magnomechanical system, which consists of magnons and cavity microwave photons and phonons; the magnon–photon and magnon–phonon couplings are achieved by the magnetic dipole interaction and the magnetostrictive interaction, respectively. By introducing magnon squeezing induced by magnon self-Kerr nonlinearity, the magnon–photon, magnon–phonon, and photon–phonon entanglements are enhanced compared with the case without inserting magnon squeezing. We find that an optimal parameter of the squeezing exists, which yields the maximum entanglement. This study provides a new idea for exploring the properties of quantum entanglement in cavity magnomechanical systems, and may have some potential applications in quantum state engineering.
Quantum entanglement in cavity magnomechanical system has a wide range of applications in modern quantum technologies. In this work, we propose a theoretical scheme to generate and enhance quantum entanglement through cross-Kerr nonlinearity and mechanical parametric amplification (MPA) in a magnomechanical system. Our system is made of a magnonic mode that is simultaneously driving the acoustic phononic and the center-of-mass motion (CMM) phonon in a yttrium iron garnet sphere. The acoustic mode and the center-of-mass mechanical (CMM) mode are weakly coupled via the phonon hopping rate JmJ_mJm​. Moreover, the magnonic and phononic modes interact through cross-Kerr interaction, while the phononic mode is additionally driven via a Mechanical Parametric Amplification (MPA). Without the mechanical coupling (Jm=0J_m = 0Jm​=0) and the MPA, the generation of entanglement among the subsystems requires a relatively strong effective cross-Kerr coupling. However, when phonon hopping and MPA are accounted, quantum entanglement can be generated even for weak values of the cross-Kerr coupling strength, revealing the key role of these interactions in the engineering of quantum correlations in our proposal. Furthermore, the related purity of the generated entangled states remains high for the same parameter's regime, revealing that the generated quantum entanglement is established without significantly increasing the mixing of the involved states in the system. Our work suggests how robust and stable quantum correlations can be engineered in magnomechanical structures based on nonlinear interactions. These results are useful for modern quantum applications including quantum information processing, quantum communication, and quantum computational tasks.
The present study is based on a theoretically feasible scheme for the enhancement of entanglement between different bipartitions due to magnon squeezing in a two-cavity magnomechanical system, having two microwave cavity mode photons, a magnon mode, and phonon mode. The nonlinearity in the system is well enhanced owing to magnon squeezing, which is responsible for the enhancement of different bipartitions’ entanglement. By employing the standard Langevin approach, we found that the magnon squeezing parameter not only enhances the entanglement between directly coupled modes, but also has a considerable impact on indirectly coupled modes’ entanglement. In addition, we find the negative impact of the thermal bath for the mechanical mode on the generation of photon–phonon and magnon–phonon entanglements. Furthermore, magnon squeezing has shown a significant role in the entanglement robustness against thermal effects. Moreover, the tripartite entanglement among photon, magnon, and phonon is also considerably enhanced in the presence of magnon squeezing. This two-cavity magnomechanical system might be used in quantum tasks that require the enhancement of entanglement of indirectly coupled modes.
We propose a novel approach to enhance magnon bistability and magnon-phonon entanglement in a microwave cavity containing a driving atomic ensemble and a ferrimagnetic crystal of yttrium iron garnet (YIG), where the cavity is simultaneously coupled with the magnon and atoms while the magnon couples to phonon through magnetostrictive interaction. When the magnon-atom coherent coupling is established via the exchange of virtual photon, it is of interest that the magnon bistability is significantly enhanced by the vacuum induced coherence (VIC) from the atomic spontaneous. Moreover, the magnon-phonon entanglement that arises from parametric and beam-splitter interactions are also enhanced, wherein the atomic ensemble acts as a reservoir to cooling the magnon and phonon further. The present scheme provides a feasible way to control the nonlinear magnon-phonon coupling strength by quantum interference, which may be useful for macroscopic quantum information processing.