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EPJ Quantum Technology

Parametric controllable one-way quantum steering induced by four-wave mixing in cavity magnonics

Nan Wang, Zhi‐Bo Yang, Shiyan Li, Tingting Dong, Ai‐Dong Zhu

Published May 19, 2023• 9 citations
Publisher

Abstract

Abstract Quantum steering plays a crucial role in quantum communication and one-way quantum computation. Here, we study quantum steering between two magnon modes in a cavity-magnonics system by applying a two-photon drive field to the microwave cavity. The two magnon modes are entangled and the one-way steering can be implemented when the four-wave mixing is triggered. Different from most schemes that use the dissipation of the system to control quantum steering, in our scheme the one-way steering can be modulated on demand by adjusting the coherent coupling ratio between the two magnons and the cavity, which provides a flexible and feasible way in experiments. We also reveal that the directionality of quantum steering is related to the mode populations, i.e., the mode with a larger population dominants the steering. Our study has high manipulability and may provide a promising platform for one-way quantum computing and communications based on macroscopic entanglement state.

DOI
10.1140/epjqt/s40507-023-00172-3

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Abstract Quantum steering plays a crucial role in quantum communication and one-way quantum computation. Here, we study quantum steering between two magnon modes in a cavity-magnonics system by applying a two-photon drive field to the microwave cavity. The two magnon modes are entangled and the one-way steering can be implemented when the four-wave mixing is triggered. Different from most schemes that use the dissipation of the system to control quantum steering, in our scheme the one-way steering can be modulated on demand by adjusting the coherent coupling ratio between the two magnons and the cavity, which provides a flexible and feasible way in experiments. We also reveal that the directionality of quantum steering is related to the mode populations, i.e., the mode with a larger population dominants the steering. Our study has high manipulability and may provide a promising platform for one-way quantum computing and communications based on macroscopic entanglement state.
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 study phase-controlled quantum entanglement and one-way quantum steering in a cavity magnonic system, where two magnon modes couple to two microwave cavities driven by squeezed fields. The magnon-magnon entanglement and the steering directivity can be controlled by adjusting the ratio of the coupling strengths between cavity modes and magnon modes. In particular, the quantum entanglement and one-way quantum steering can be significantly enhanced by the squeezed vacuum field, which also exhibits robustness against temperature variations. More intriguingly, both quantum entanglement and steering between two magnon modes are susceptible to variations in the phase difference of two Josephson parametric amplifiers, and thus the phase-controlled quantum entanglement and one-way quantum steering can be achieved. Our scheme may have potential applications in quantum information.
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Here we show that it is possible to control magnon-magnon entanglement in a hybrid magnon-atom-cavity system based on atomic coherence. In a four-level V-type atomic system, two strong fields are applied to drive two dipole-allowed transitions and two microwave cavity modes are coupled with two dipole forbidden transitions as well as two magnon modes simultaneously. It is found that the stable magnon-magnon entanglement, one-way steering and two-way EPR steering can be generated and controlled by atomic coherence according to the following two points: (i) the coherent coupling between magnon and atoms is established via exchange of virtual photons; (ii) the dissipation of magnon mode is dominant over amplification since one of the atomic states mediated one-channel interaction always keeps empty. The coherent control of magnon-magnon correlations provides an effective approach to modify macroscopic quantum effects using the laser-driven atomic systems.
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 We propose to generate and control stationary one-way steering with strong entanglement between photon and magnon modes by the cooperative effect of coherent coupling and dissipative coupling. Due to the combination of two couplings, the system becomes a parity-time-like symmetric non-Hermitian system, and two exceptional points (EPs)-like appear in the real and imaginary parts of the eigenvalues. We demonstrate that the especially obvious quantum entanglement and perfect one-way steering can be obtained around two EPs-like. The continuous variable entanglement and steering produced by this cooperative effect show stronger robustness to environment temperature and system dissipation than that induced by nonlinearity. The one-way steering directivity can be controlled by the relative phase of cooperative dissipation and the frequency detuning of the magnon mode. Our work shows the controllability advantage of the open cavity magnonic system and may open up a platform for the generation of stationary one-way steering.