Criterion of quantum synchronization and controllable quantum synchronization based on an optomechanical system

Abstract

We propose a quantitative criterion to determine whether the coupled quantum systems can achieve complete synchronization or phase synchronization in the process of analyzing quantum synchronization. Adopting the criterion, we discuss the quantum synchronization effects between optomechanical systems and find that the error between the systems and the fluctuation of error are sensitive to coupling intensity by calculating the largest Lyapunov exponent of the model and quantum fluctuation, respectively. Through taking the appropriate coupling intensity, we can control quantum synchronization even under different logical relationship between switches. Finally, we simulate the dynamical evolution of the system to verify the quantum synchronization criterion and to show the ability of synchronization control.

References in corpus (4)

• Strong dispersive coupling of a high finesse cavity to a micromechanical membrane
• Optomechanical entanglement between a movable mirror and a cavity field
• Cavity QED with a Bose-Einstein condensate
• Enhancing Quantum Effects via Periodic Modulations in Optomechanical Systems

Cited by in corpus (10)

• Lyapunov-based quantum synchronization in designed optomechanical systems
• Quantum synchronization and quantum state sharing in irregular complex network
• Optomechanical cooling in the non-Markovian regime
• Quantum correlations and synchronization measures
• Quantum synchronization of two mechanical oscillators in coupled optomechanical systems with Kerr nonlinearity
• Improve Microwave Quantum Illumination Via Optical Parametric Amplifier
• Quantum $\phi$-synchronization in coupled optomechanical system with periodic modulation
• Long-distance synchronization of unidirectionally cascaded optomechanical systems
• Singe-photon multi-ports router based on the coupled cavity optomechanical system
• Exploring quantum correlations in a hybrid optomechanical system