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Quantum Information Processing

Quantum synchronization of chaotic oscillator behaviors among coupled BEC–optomechanical systems

Wenlin Li, Chong Li, He‐Shan Song

Published Feb 7, 2017• 13 citations
Publisher
DOI
10.1007/s11128-017-1517-y

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In this work, we study the quantum synchronization and quantum $\ensuremath{\phi}$ synchronization of two mechanical oscillators in a coupled optomechanical system. The oscillators are coupled to an optical cavity filled with a Kerr nonlinear medium and subjected to periodic modulation of the cavity detunings and driving amplitudes by a common driving field. Our results show that the quantum synchronization and quantum $\ensuremath{\phi}$ synchronization in nonlinear systems exhibit more favorable behaviors than in linear systems. In addition, we have investigated the performances of two synchronization measurements to various parameters by analyzing the sensitivity of $\ensuremath{\phi}$. Accordingly, perfect synchronization can be achieved under specific parameters by periodically modulating the cavity and driving field. Our findings could offer insights into other quantum effects and pave the way for studying quantum correlations.
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.