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arXiv · 2001.10793

Quantum $\varphi$-synchronization in coupled optomechanical system with periodic modulation

G. J. Qiao·X. Y. Liu·H. D. Liu·C. F. Sun·X. X. Yi
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Abstract

Based on the concepts of quantum synchronization and quantum phase synchronization proposed by A. Mari \textit{et al.} in Phys. Rev. Lett. 111, 103605 (2013), we introduce and characterize the measure of a more generalized quantum synchronization called quantum $\varphi$-synchronization under which the pairs of variables have the same amplitude and possess the same $\varphi$ phase shift. Naturally, quantum synchronization and quantum anti-synchronization become special cases of quantum $\varphi$-synchronization. Their relations and differences are also discussed. To illustrate these theories, we investigate the quantum $\varphi$-synchronization and quantum phase synchronization phenomena of two coupled optomechanical systems with periodic modulation and show that quantum $\varphi$-synchronization is more general as a measure of synchronization. We also show the phenomenon of quantum anti-synchronization when $\varphi=\pi$.

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G. J. Qiao, X. Y. Liu, H. D. Liu, C. F. Sun, X. X. Yi. 2020-01-29. Quantum $\varphi$-synchronization in coupled optomechanical system with periodic modulation. https://doi.org/10.1103/physreva.101.053813

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