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Annalen der Physik

Manipulation of One‐Way Gaussian Steering via Quantum Correlated Microwave Fields

Zhi‐Bo Yang, Hongyu Liu, Rong‐Can Yang

Published Sep 24, 2021• 8 citations
Publisher

Abstract

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.

DOI
10.1002/andp.202100156

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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 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.
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 The quantum entanglement and the one‐way quantum steering in cavity magnonic system composed of a yttrium iron garnet (YIG) sphere and two microwave cavities, one of which is driven by a two‐photon drive field, are studied. Bipartite entanglement, tripartite entanglement, and steering can be achieved under the four‐wave mixing process. It is shown that the degree of entanglement and the direction of one‐way steering can be manipulated not only by designing the dissipation ratio between the two cavity modes but also by regulating the coherent coupling strength ratio between the two cavity modes and the magnon mode. It is found that the direction of steering is associated with the populations of the two cavity modes, meaning that the mode with a greater population always dominates the steering direction. Especially, the transfer between cavity–magnon entanglement and cavity–cavity entanglement can be realized by adjusting the coupling strengths. The findings provide a practical method for coherently manipulating entanglement and one‐way steering in cavity–magnon system.
We theoretically investigate a scheme to entangle two squeezed magnon modes in a double cavitymagnon system, where both cavities are driven by a two-mode squeezed vacuum microwave field. Each cavity contains an optical parametric amplifier as well as a macroscopic yttrium iron garnet (YIG) sphere placed near the maximum bias magnetic fields such that this leads to the excitation of the relevant magnon mode and its coupling with the corresponding cavity mode. We have obtained optimal parameter regimes for achieving the strong magnon-magnon entanglement and also studied the effectiveness of this scheme towards the mismatch of both the cavity-magnon couplings and decay parameters. We have also explored the entanglement transfer efficiency including Gaussian quantum steering in our proposed system
Abstract Microwave‐optics entanglement plays a crucial role in building hybrid quantum networks with quantum nodes working in the microwave and optical frequency bands. However, there are limited efficient ways to produce such entanglement due to the large frequency mismatch between the two regimes. Here, a new mechanism is presented to prepare microwave‐optics entanglement based on a hybrid system of two coupled opto‐ and magnomechanical microspheres, i.e., an yttrium‐iron‐garnet (YIG) sphere and a silica sphere. The YIG sphere holds a magnon mode and a vibration mode induced by magnetostriction, while the silica sphere supports an optical whispering‐gallery mode and a mechanical mode coupled via an optomechanical interaction. The two mechanical modes are close in frequency and directly coupled via physical contact of the two microspheres. It is shown that by simultaneously activating the magnomechanical (optomechanical) Stokes (anti‐Stokes) scattering, stationary entanglement can be established between the magnon and optical modes via mechanics‐mechanics coupling. This leads to stationary microwave‐optics entanglement by further coupling the YIG sphere to a microwave cavity and utilizing the magnon‐microwave state swapping. The protocol is within reach of current technology and may become a promising new approach for preparing microwave‐optics entanglement, which finds unique applications in hybrid quantum networks and quantum information processing with hybrid quantum systems.
Abstract This work looks at the quantum entanglement between the cavity microwave and center-of-mass motion of a ferrimagnetic yttrium-iron-garnet (YIG) sphere levitated in two microwave cavities. In such a cavity magnomechanical (CMM) system, the magnons, i.e. quanta of collective spin-wave excitations in the YIG sphere, are coupled to a center-of-mass displacement via intense CMM coupling in a strongly driven cavity, and are simultaneously coupled to the other cavity via magnetic dipole interaction. We reveal that the detuning condition is necessary to improve the mediation effect of the magnon for generating macroscopic entanglement. In particular, this center-of-mass motion can be adjusted by suitable levitation technology, unlike the mechanical deformation limited by the fixed structure of the YIG sphere in a standard CMM system. We also indicate that the entanglement via the unique CMM coupling is independent of the size and mass of the YIG sphere, and it is beneficial to explore the macroscopic entanglement effect in combination with size-independent cooling. These findings suggest that our scheme may open up an alternative and novel direction in the exploration and application of macroscopic quantum effects.