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Annalen der Physik

Enhancement of Steady Quantum Entanglement and Directional Controllability of Quantum Steering in Cavity Magnetic Hybrid Systems

Xin‐Yi Yin, Zhi‐Bo Yang, Yumei Huang, Qin‐Min Wan, Rong‐Can Yang, Hong‐Yu Liu

Published Jan 15, 2023• 11 citations
Publisher

Abstract

Abstract Quantum entanglement (QE) and quantum steering (QS) are of importance for quantum information processing and computation. Though there are several schemes proposed for their realization, how to increase their degrees encounters a great challenge. In the present manuscript, it is proposed to enhance steady QE and control Gaussian QS for two magnons using a two‐photon field acting on either magnon. The cavity‐magnetic hybrid system consists of a microwave cavity in which two identical Yttrium‐iron‐garnet spheres are placed and the cavity is driven by a Josephson parametric amplifier (JPA) so as to generate steady QE and control Gaussian QS for the two Kittel modes. Besides, a two‐photon driving field acting on either magnon in order to enhance the degree of QE and the ability of QS. The best condition to maximum entanglement and steering degrees for the two magnon modes at MHz and is found via the competitive relationship between the two‐photon driving and JPA. Furthermore, it is revealed that steering direction for the two magnons can be controlled not only by the ratio between the two photon‐magnon coupling parameters but also by the two‐photon driving field, making controllable steering direction become easier.

DOI
10.1002/andp.202200603

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Abstract Quantum entanglement (QE) and quantum steering (QS) are of importance for quantum information processing and computation. Though there are several schemes proposed for their realization, how to increase their degrees encounters a great challenge. In the present manuscript, it is proposed to enhance steady QE and control Gaussian QS for two magnons using a two‐photon field acting on either magnon. The cavity‐magnetic hybrid system consists of a microwave cavity in which two identical Yttrium‐iron‐garnet spheres are placed and the cavity is driven by a Josephson parametric amplifier (JPA) so as to generate steady QE and control Gaussian QS for the two Kittel modes. Besides, a two‐photon driving field acting on either magnon in order to enhance the degree of QE and the ability of QS. The best condition to maximum entanglement and steering degrees for the two magnon modes at MHz and is found via the competitive relationship between the two‐photon driving and JPA. Furthermore, it is revealed that steering direction for the two magnons can be controlled not only by the ratio between the two photon‐magnon coupling parameters but also by the two‐photon driving field, making controllable steering direction become easier.
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.
Abstract A scheme is proposed to enhance quantum correlation, including entanglement and steering, for two magnon modes in a cavity‐magnon hybrid system through coherent quantum feedback. The hybrid system consists of a microwave cavity and two YIG spheres, which incorporates a nonlinear flux‐driven Josephson parametric amplifier in order for the generation of two photons within the cavity simultaneously. A quantum coherent feedback loop is used for the reduction of effective dissipation. By modulating feedback parameters, optimal bipartite and tripartite entanglement, as well as quantum steering are derived. Importantly, compared with the same setup without coherent feedback, the proposed scheme significantly improves quantum correlation. Furthermore, by optimizing the feedback reflectivity and the ratio of cavity‐magnon coupling strength, the enhancement of asymmetric steering can be controlled. Notably, incorporating the feedback loop effectively increase its robustness against thermal noise, thus the scheme offer better prospect for experimental development. This study paves the way for advancements in quantum information processing and quantum entanglement within cavity‐magnonics.
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 Two cavity‐magnon subsystems coupled via the two single‐mode cavities mediated by a non‐degenerate parametric down conversion and each cavity carrying a magnon confined in a Yttrium‐iron‐garnet sphere is proposed to study one‐way quantum steering and asymmetric tripartite entanglement. The entanglement can be transferred from the two microwave cavities to the two separated magnon modes using magnetic dipole interaction. Different from previous schemes, the present study demonstrates efficient realization of controllable one‐way quantum steering between two magnon modes through asymmetric frequency detunings of the two magnon modes. In addition, an asymmetric tripartite entanglement can also be achieved. Furthermore, the system exhibits robustness to temperatures up to 100 mK, providing a promising avenue for utilizing cavity magnonics systems in unidirectional transmission of quantum information.
Abstract A hybrid system that combines cavity magnonics and cavity optomechanics is proposed to facilitate the generation of long‐distance entanglement and enable one‐way steering between magnons and phonons. This configuration involves two directly coupled cavities, with one interacting with magnons and the other coupling with a mechanical oscillator (i.e., phonons). By driving the microwave cavity with a weak squeezed vacuum field generated by a flux‐driven Josephson parametric amplifier, entanglement and one‐way steering can be further enhanced. Moreover, the results demonstrate that magnon–phonon entanglement and one‐way quantum steering exhibit robustness against temperature variations, which has significant implications for quantum information processing and storage.
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.