Quantum synchronization of two mechanical oscillators in coupled optomechanical systems with Kerr nonlinearity
Guo-jian Qiao, Hui-xia Gao, Hao-di Liu, and X. X. Yi

TL;DR
This paper explores how Kerr nonlinearity enhances quantum synchronization between two mechanical oscillators in coupled optomechanical systems, demonstrating improved synchronization phenomena compared to linear systems.
Contribution
It introduces the study of quantum synchronization in nonlinear optomechanical systems with Kerr media, highlighting the enhancement over linear systems and comparing different coupling and modulation methods.
Findings
Kerr nonlinearity significantly enhances quantum synchronization.
Synchronization is easier to observe with Kerr media.
Different coupling and modulation methods have distinct effects on synchronization.
Abstract
We investigate the quantum synchronization phenomena of two mechanical oscillators of different frequencies in two optomechanical systems under periodically modulating cavity detunings or driving amplitudes, which can interact mutually through an optical fiber or a phonon tunneling. The cavities are filled with Kerr-type nonlinear medium. It is found that, no matter which the coupling and periodically modulation we choose, both of the quantum synchronization of nonlinear optomechanical system are more appealing than the linear optomechanical system. It is easier to observe greatly enhanced quantum synchronization with Kerr nonlinearity. In addition, the different influences on the quantum synchronization between the two coupling ways and the two modulating ways are compared and discussed.
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