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Annalen der Physik

Coherent Feedback Control of Indirectly Coupled Mode Multipartite Entanglement in a Cavity Opto‐Magnomechanical System

Amjad Sohail, Mohamed Amazioug, S. K. Singh, Noura Chabar, Rizwan Ahmed, M. C. de Oliveira

Published May 12, 2025• 17 citations
Publisher

Abstract

Abstract This study is based on a theoretical proposal for the generation and enhancement of multipartite entanglements of indirectly coupled modes using the coherent feedback loop scheme. The coherent feedback‐control mechanism that is presented here significantly improves the bipartite and tripartite entanglements among the indirectly coupled modes. The numerical study shows that the entanglements can be sufficiently tuned by the effective couplings and the reflective parameter of the beam splitter. In addition, the robustness and survival of the generated entanglement in the proposed system have shown to be significantly dependent on the reflectivity parameter. The existence of a genuine tripartite entanglement state in the dynamical state of the system is proven. Finally, the effect of the reflective parameter on three different tripartite entanglements is observed. The findings pave the way for tuning and enhancing multipartite entanglements of indirectly coupled modes in current cavity Opto‐magnomechanical systems and may have various vital applications in quantum information.

DOI
10.1002/andp.202400375

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Abstract This study is based on a theoretical proposal for the generation and enhancement of multipartite entanglements of indirectly coupled modes using the coherent feedback loop scheme. The coherent feedback‐control mechanism that is presented here significantly improves the bipartite and tripartite entanglements among the indirectly coupled modes. The numerical study shows that the entanglements can be sufficiently tuned by the effective couplings and the reflective parameter of the beam splitter. In addition, the robustness and survival of the generated entanglement in the proposed system have shown to be significantly dependent on the reflectivity parameter. The existence of a genuine tripartite entanglement state in the dynamical state of the system is proven. Finally, the effect of the reflective parameter on three different tripartite entanglements is observed. The findings pave the way for tuning and enhancing multipartite entanglements of indirectly coupled modes in current cavity Opto‐magnomechanical systems and may have various vital applications in quantum information.
In this paper, we present a coherent feedback loop scheme to enhance the magnon-photon-phonon entanglement in cavity magnomechanics. We provide a proof that the steady state and dynamical state of the system form a genuine tripartite entanglement state. To quantify the entanglement in the bipartite subsystem and the genuine tripartite entanglement, we use the logarithmic negativity and the minimum residual contangle, respectively, in both the steady and dynamical regimes. We demonstrate the feasibility of our proposal by implementing it with experimentally realizable parameters to achieve the tripartite entanglement. We also show that the entanglement can be significantly improved with coherent feedback by appropriately tuning the reflective parameter of the beam splitter and that it is resistant to environmental thermalization. Our findings pave the way for enhancing entanglement in magnon-photon-phonon systems and may have potential applications in quantum information.
In this paper, based on the mechanism of entanglement transfer, we present and analyze several schemes to produce entanglement between indirectly coupled modes in an opto-magnomechanical system coupled with an additional auxiliary cavity. We mainly focus on the research how the entanglement originating from optomechanical or magnomechanical entanglement sources distributes to the indirectly coupled subsystems under weak-coupling and strong-coupling conditions. For the latter, more abundant indirect entanglement can be generated and optomechanical entanglement source can result in the strongest indirect entanglement compared with other cases. Meanwhile, the robustness of the indirect entanglement against the environmental temperature and the preparation of genuine tripartite entanglement for the indirectly coupled modes are also taken into account.
Multipartite Einstein-Podolsky-Rosen (EPR) steering plays a crucial role in realizing secure quantum communication. In this paper, we theoretically investigate bipartite and tripartite quantum correlations, including entanglement and Gaussian quantum steering, in a cavity magnomechanical system incorporating a coherent feedback loop. We quantify and compare entanglement and Gaussian steering for four coupled bipartite Gaussian modes. Our results show that tuning the beam splitter's reflectivity parameter significantly enhances entanglement in both bipartite and tripartite states. Furthermore, we verify Coffman-Kundu-Wootters (CKW)-type monogamy inequalities for Gaussian steering among three tripartite modes for specific reflectivity values, and reveal the presence of one-way steering. These findings validate our system and demonstrate its potential for robust detection of multipartite entanglement and steering.
In this paper, based on the mechanism of entanglement transfer, we present and analyze several schemes to produce entanglement between indirectly coupled modes in an opto-magnomechanical system coupled with an additional auxiliary cavity. We mainly focus on the research how the entanglement originating from optomechanical or magnomechanical entanglement sources distributes to the indirectly coupled subsystems under weak-coupling and strong-coupling conditions. For the latter, more abundant indirect entanglement can be generated and optomechanical entanglement source can result in the strongest indirect entanglement compared with other cases. Meanwhile, the robustness of the indirect entanglement against the environmental temperature and the preparation of genuine tripartite entanglement for the indirectly coupled modes are also taken into account.
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.
Abstract A scheme is proposed for generating and enhancing stable nonreciprocal entanglement in a spinning cavity magnomechanical system. The key components of this scheme include a ferromagnetic yttrium iron garnet sphere and a whispering gallery mode resonator supporting two counter‐propagating modes. To further optimize the performance of the system, a coherent feedback loop is introduced to reinject the dissipated energy back into the system. This not only provides an additional coupling path for the system but also effectively avoids introducing additional noise caused by measurement. The design significantly enhances both bipartite entanglement and genuine tripartite entanglement. Meanwhile, by spinning the resonator, the cavity modes experience Fizeau drag due to the optical Sagnac effect, thereby achieving nonreciprocal entanglement, which is crucial for applications such as unidirectional quantum communication channels. Additionally, the research demonstrates that even in the presence of backscattering, the entangled state can still recover significantly, highlighting the robustness of entanglement under photon backscattering. This work provides an effective method to enhance and protect quantum resources and holds important application potential for applications in quantum information processing based on magnonics.