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Annalen der Physik

Squeezed States of Magnons and Phonons in a Cavity Magnomechanical System with a Microwave Parametric Amplifier

Sumei Huang, Li Deng, Aixi Chen

Published May 28, 2023• 8 citations
Publisher

Abstract

Abstract The cavity magnomechanical system has become a promising platform for preparing macroscopic quantum states. In this work, a scheme for generating the steady‐state quadrature squeezing of the magnon and phonon modes in a cavity magnomechanical system is presented. This scheme uses a degenerate microwave parametric amplifier (PA) inside the microwave cavity. It is found that the squeezing of the cavity mode produced by the PA can be transferred to the magnon mode due to the cavity‐magnon beamsplitter‐like interaction, and the squeezing of the magnon mode can be further transferred to the phonon mode due to the magnon‐phonon beamsplitter‐like interaction induced by driving the magnon mode with a red‐detuned microwave field. The effects of the parametric gain and phase of the PA, the magnon‐cavity coupling strength, the power of the magnon drive, and the temperature of the environment on the squeezing of the magnon and phonon modes have been evaluated. The results show that the squeezing of the magnon and phonon modes is robust against the temperature of the environment.

DOI
10.1002/andp.202300095

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Abstract The cavity magnomechanical system has become a promising platform for preparing macroscopic quantum states. In this work, a scheme for generating the steady‐state quadrature squeezing of the magnon and phonon modes in a cavity magnomechanical system is presented. This scheme uses a degenerate microwave parametric amplifier (PA) inside the microwave cavity. It is found that the squeezing of the cavity mode produced by the PA can be transferred to the magnon mode due to the cavity‐magnon beamsplitter‐like interaction, and the squeezing of the magnon mode can be further transferred to the phonon mode due to the magnon‐phonon beamsplitter‐like interaction induced by driving the magnon mode with a red‐detuned microwave field. The effects of the parametric gain and phase of the PA, the magnon‐cavity coupling strength, the power of the magnon drive, and the temperature of the environment on the squeezing of the magnon and phonon modes have been evaluated. The results show that the squeezing of the magnon and phonon modes is robust against the temperature of the environment.
In this paper, we consider a cavity magnomechanical system composed of a microwave (MW) cavity, magnon, and phonon modes, where the magnon is coupled, respectively, to the MW cavity and phonon through both the magnetic-dipole and magnomechanical interactions. We demonstrate that the flux-driven Josephson parametric amplifier with a nonlinear gain is crucial in creating the squeezed states of the magnon and phonon modes. We show that, by the cavity-magnon state-swap interaction, the magnons can be completed in a squeezed state, and that the phonons can also be squeezed by driving the magnons through a strong red-detuned MW field. Essentially, our system reveals a squeezing transfer from cavity photons to magnons and then to phonons. The influence of physical and environmental parameters on the degree of squeezing is widely explored.
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.
ABSTRACT Ground‐state cooling of mechanical resonators in cavity magnomechanical (CMM) systems is critical for quantum technologies, but is fundamentally limited by intrinsically weak magnon–phonon coupling. Conventional strong‐driving‐based coupling amplification introduces excess quantum noise, while pioneering squeezing‐assisted CMM cooling schemes rely on strong driving, using squeezing to suppress heating noise, leaving the weak‐coupling bottleneck unaddressed. Here, we propose a scheme using magnon squeezing as the core mechanism to enhance effective magnon–phonon coupling via tuning squeezing strength and phase, eliminating the need for intrinsic coupling enhancement or excessively strong driving beyond the linearization regime. Theoretical analysis shows that a red‐detuned squeezed magnon mode markedly boosts the net cooling rate, enabling ground‐state cooling at higher bath temperatures, with performance further optimized by reducing magnon dissipation. This approach amplifies magnomechanical coupling while avoiding detrimental strong‐driving effects, providing a practical, low‐noise route to efficient quantum cooling in CMM systems.
Abstract Cavity magnomechanics has become an ideal platform to explore macroscopic quantum effects. Bringing together magnons, phonons, and photons in a system, it opens many opportunities for quantum technologies. It was conventionally realized by an yttrium iron garnet, which exhibits a parametric magnon–phonon coupling m ˆ † m ˆ ( b ˆ † + b ˆ ) , with m ˆ and b ˆ being the magnon and phonon modes. Inspired by the recent realization of two-dimensional (2D) magnets, we propose a cavity magnomechanical system using a 2D magnetic material with both optical and magnetic drivings. It features the coexisting photon–phonon radiation-pressure coupling and quadratic magnon–phonon coupling m ˆ † m ˆ ( b ˆ † + b ˆ ) 2 induced by the magnetostrictive interaction. A stable squeezing of the phonon and bi- and tri-partite entanglements among the three modes are generated in the regimes with a suppressed phonon number. Compared with previous schemes, ours does not require any extra nonlinear interaction and reservoir engineering and is robust against the thermal fluctuation. Enriching the realization of cavity magnomechanics, our system exhibits its superiority in quantum-state engineering due to the versatile interactions enabled by its 2D feature.
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.
We propose a scheme for preparing magnon squeezed states in a hybrid cavity-magnon-qubit system. The system consists of a microwave cavity that simultaneously couples to a magnon mode of a macroscopic yttrium-iron-garnet sphere via the magnetic-dipole interaction and to a transmon-type superconducting qubit via the electric-dipole interaction. By far detuning from the magnon-qubit system, the microwave cavity is adiabatically eliminated. The magnon mode and the qubit then get effectively coupled via the mediation of virtual photons of the microwave cavity. We show that by driving the qubit with two microwave fields and by appropriately choosing the drive frequencies and strengths, magnonic parametric amplification can be realized, which leads to magnon quadrature squeezing with the noise below vacuum fluctuation. We provide optimal conditions for achieving magnon squeezing, and moderate squeezing can be obtained using currently available parameters. The generated squeezed states are of a magnon mode involving more than 1018{10}^{18}1018 spins and thus macroscopic quantum states. This work may find promising applications in quantum information processing and high-precision measurements based on magnons and in the study of macroscopic quantum states.