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Scientific Reports

Enhancement of quantum synchronization in triple-cavity system

Ruipeng Xia, Han-Xiao Zhang, Chu-Hui Fan

Published Jan 3, 2025• 6 citations
Publisher

Abstract

We introduce two strategies to enhance quantum synchronization within a triple-cavity optomechanical system, where each cavity contains an oscillator and is interconnected via optical fibers. Our results demonstrate that applying appropriate periodic modulation to the driving fields or the cavity modes can ensure robust quantum synchronization across both open and closed configurations. This approach offers promising avenues for expanding quantum synchronization capabilities in multi-cavity systems and has significant implications for advancing quantum synchronization generation and application in complex networks.

DOI
10.1038/s41598-024-84383-3

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We study two coupled optomechanical systems interact mutually through an optical fiber and a phonon tunneling, which are controlled by two switches K 1 and K 2 . Compared to the quantum synchronization of the optomechanical systems without modification, we find that a proper periodic modification by different switches setups can achieve a better quantum synchronization. In addition, we also analyze the robustness of the periodically modified system against the bath's mean temperature or the oscillators' frequency difference, respectively.
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Abstract We study a double-cavity optomechanical system with two movable mirrors acting as mechanical oscillators coupled via a common girder. The fluctuation parts of mechanical oscillations induced by vacuum noises exhibit a limited quantum synchronization owing to the Heisenberg uncertainty. Exerting periodic modulations on the driving lasers or mechanical oscillators, we find that it is viable to attain a 50% ∼ 75% enhancement on this quantum synchronization with appropriate modulation frequencies and amplitudes. A direct comparison shows that the optimal modulations on driving lasers are more favorable than the optimal modulations on mechanical oscillators in that the former could result in a greater enhancement than the latter. Our findings should be instructive for further studies on multi-cavity optomechanical systems to pursue a promising platform for quantum information processing.
Abstract Quantum synchronization and synchronization transmission among three mechanical oscillators are investigated in a coupled multimode optomechanical system. The system consists of three subsystems, each comprising an optical cavity and a mechanical oscillator. The tripartite synchronization among the oscillators can be visualized through the joint limit-cycle trajectories and Wigner functions. Quantum synchronization and anti-synchronization of two oscillators can be achieved simultaneously in the coupled multimode optomechanical system. For three coupled optomechanical systems, some parameter ranges for achieving synchronization are presented. Moreover, the synchronization transmission among mechanical oscillators is also investigated by manipulating the driving laser. In addition, the circular optomechanical configuration is also identified as an effective platform for studying quantum synchronization. The differences between the two optomechanical system configurations are analyzed and compared. These results provide a promising platform for studying quantum correlations and quantum information processing with mechanical oscillators based on controllable multimode optomechanical systems.
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Abstract In this work, we investigate the quantum synchronization and ϕ synchronization of two mechanical oscillators of different frequencies in two optomechanical systems with asymmetric coupling interaction. The whole system can be modulated by cavity detuning or driving amplitudes. Under certain parameters, quantum ϕ synchronization can be enhanced by asymmetric coupling in optomechanical systems, and the phase difference ϕ has an inversion. Moreover, we show that with the introduction of Kerr nonlinear medium, nonlinearity is dominated in achieving synchronization within asymmetric coupled cavities and ϕ can be corrected. Apart from achieving quantum synchronization, quantum anti-synchronization can be observed depending on the asymmetric coupling and the asymmetric external driving field. Our findings could offer insights into other quantum effects and pave the way for studying quantum correlations in asymmetric coupled optomechanical systems.