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International Journal of Theoretical Physics

Quantum Synchronization and $$\phi $$ Synchronization in a Hybrid Optomechanical System with a Two-level Atom

J. T. Sun, H. D. Liu

Published May 14, 2025• 0 citations
Publisher
DOI
10.1007/s10773-025-06011-8

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Quantum Synchronization and ϕ\phi ϕ Synchronization in a Hybrid Optomechanical System with a Two-level Atom
Abstract In this paper, we study quantum synchronization in a hybrid optomechanical system that includes photon hopping and atomic ensembles. The covariance matrix method is used to examine synchronization between cavity–cavity, cavity–atom, and cavity–mechanical subsystems. Our results demonstrate that strong photon hopping improves synchronization by enabling efficient transfer of energy and phase between the coupled modes. Furthermore, we reveal that synchronization exhibits a non-monotonic dependence on both the atomic coupling strength and system detuning, initially increasing up to a critical threshold before gradually declining. In contrast, decoherence effects especially atomic decay rate reduce synchronization by destroying phase coherence. While cavity-mechanical synchronization is heavily suppressed by an increasing thermal phonon number, cavity-cavity and cavity-atomic synchronization remain uniquely robust against thermal noise. Ultimately governed by the competition between coherent coupling and environmental dissipation, these results provide valuable insights into controlling quantum synchronization for future applications in quantum information processing, precision metrology, and scalable hybrid quantum networks.
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.