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npj Quantum Information

Cooperative-effect-induced one-way steering in open cavity magnonics

Si‐Yu Guan, Hong‐Fu Wang, X. X. Yi

Published Sep 3, 2022• 46 citations
Publisher

Abstract

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.

DOI
10.1038/s41534-022-00619-y

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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.
We show how to implement stationary one-way quantum steering with strong entanglement in a cavity magnonic system that consists of two magnon modes and a microwave cavity. The cavity is driven by a squeezed vacuum field generated by a flux-driven Josephson parameter amplifier and coupled to two Kittel modes via magnetic dipole interaction. We find that the steering directivity only depends on the ratio of two coupling rates (i.e., the ratio of coherent information exchange frequencies) and is barely affected by the dissipation of the system. Meanwhile, the entanglement and steering can be significantly enhanced due to the squeezed vacuum field and thus are more robust against thermal noises. This provides an active method to manipulate the steering directivity instead of adding asymmetric losses or noises to subsystems at the cost of reducing steerability.
In the cavity-magnonics system, the coupling between microwave photon and magnon is of beam-splitter (BS) interaction, which in general does not support steady-state entanglement in a vacuum environment. We propose a scheme to generate and enhance steady-state magnon-photon entanglement and one-way steering in cavity-magnonics system. By coupling microwave cavity mode and magnon mode to a common waveguide, the effective dissipative coupling of the cavity-magnonics system is derived. If there is only nondegenerate parametric (NP) dissipative coupling, entanglement is negatively affected by the effective gain of the cavity mode caused by the common waveguide environment. When the coherent coupling exists, effective gain of cavity mode can cancel the intrinsic dissipation. Consequently, the larger the intrinsic dissipation of cavity the better the entanglement. When the effective dissipative coupling with NP and BS coexist, the effective dissipation can be eliminated and the entanglement is significantly improved. In addition, we find that the asymmetric coupling of the two modes to the common waveguide leads to one-way steering, which means that the cavity mode can guide the magnetic mode, and the magnetic mode can not affect the cavity mode through local measurements. This property facilitates the development of the cavity-magnonics system towards quantum information processing.
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 This study proposes to enhance entanglement and control quantum steering via dissipative coupling in an open cavity magnomechanical system connected to a common reservoir shared by photon and magnon modes. In such a system, dissipative coupling induced by the common reservoir plays a crucial role in producing entanglements and quantum steering. The photon‐magnon‐phonon tripartite entanglement is significantly enhanced, exhibiting periodic sudden death and resurgence with the relative phase between coherent and dissipative couplings. It is revealed that the collaboration between dissipative and coherent couplings can produce entanglement and steering even in the absence of nonlinearity within the system. Moreover, the steering directivity can be controlled by adjusting the dissipative coupling strength and the relative phase. These findings are counterintuitive in terms of dissipation, which provides a novel approach for preparing quantum entanglement and manipulating quantum steering in an open system.
Based on the phenomenon of exceptional points (EPs) in the optomechanically induced mechanical P T -symmetric binary and ternary systems, we propose a mechanism to generate the perfect one-way quantum steering between two totally symmetric modes, respectively. By investigating the quantum steering behavior in the close vicinity of EP, we find that the optimal one-way quantum steering can be successfully generated at the EP in the P T -symmetric binary mechanical system. When pushing the system towards the EP, we show that not only is the broadest region of the one-way quantum steering achieved, but the robustness against the thermal noise can be significantly enhanced. In addition, the direction of the one-way quantum steering can be precisely controlled only by altering the sign of the detuning of the cavity field. What’s more, we analyze the mean populations of the involved modes to further support our findings and find that the occurrence of the one-way quantum steering depends mainly on the difference in the populations between the two target modes. We also successfully extend our findings to the high-order EP, and the desired one-way quantum steering can still be generated in the P T -symmetric ternary mechanical system when it operates at the EP. Our scheme opens up an alternative manipulation method to explore the various novel quantum effects exploiting the EPs and has significant potential applications in quantum nonreciprocal devices.
Abstract Generating and manipulating magnon quantum states for quantum information processing is a central topic in quantum magnonics. The conventional strategy amplifies the nonlinear interaction among magnons to manifest their quantum correlations at cryogenic temperatures, which is challenging for magnets with vanishingly small nonlinearities. Here we propose an unconventional approach to prepare entangled states of two distant magnon modes by applying a two-tone Floquet field to each magnet inside a microwave cavity. The Floquet driving can effectively generate parametric interaction between magnons and photons, and thus opens an indirect entanglement channel between the two magnon modes mediated by cavity photons. By optimizing the relative ratio of the magnon–photon coupling and the detuning between the magnon modes, the two magnon modes can reach a stationary and robust entanglement, of which the strength is enhanced compared with entanglement generated via magnetic nonlinearities. Furthermore, one-way steering between the two magnets is realized by engineering unequal damping rates of the two magnets while the steering asymmetry can be efficiently modulated by tuning the coupling strength of magnons and cavity photons. The essential physics of our findings universally applies to a wide class of magnets with small nonlinearities and may find promising applications in engineering robust magnon quantum states for quantum information science.