Phase synchronization refers to a kind of collective phenomenon that the phase difference between two or more systems is locked, and it has widely been investigated between systems with the identical physical properties, such as the synchronization between mechanical oscillators and the synchronization between atomic ensembles. Here, we investigate the synchronization behavior between the mechanical oscillator and the atomic ensemble, the systems with different physical properties, and observe a novel synchronization phenomenon, i.e., the phase sum, instead of phase difference, is locked. We refer to this distinct synchronization as the phase anti-synchronization and show that the phase anti-synchronization can be achieved in both the classical and quantum level, which means this novel collective behavior can be tested in experiment. Also, some interesting connections between phase anti-synchronization and quantum correlation are found.

中文翻译：

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法布里-珀罗腔内机械振荡器与原子团簇之间的相位反同步动力学

相位同步是指两个或多个系统之间的相位差被锁定的一种集体现象，并且在具有相同物理特性的系统之间进行了广泛的研究，例如机械振荡器之间的同步和原子集合体之间的同步。在这里，我们研究了机械振荡器和原子集合体（具有不同物理特性的系统）之间的同步行为，并观察到一种新颖的同步现象，即，相位和而不是相位差被锁定。我们将这种独特的同步称为相位反同步，并表明可以在经典和量子水平上实现相位反同步，这意味着可以在实验中测试这种新颖的集体行为。也，