Title: Optimal synchronization deep in the quantum regime: resource and fundamental limit Show Chinese title

Title: 量子 regime 深度下的最优同步：资源与基本限制

Abstract: We develop an analytical framework to study the synchronization of a quantum self-sustained oscillator to an external signal. Our unified description allows us to identify the resource on which quantum synchronization relies, and to compare quantitatively the synchronization behavior of different limit cycles and signals. We focus on the most elementary quantum system that is able to host a self-sustained oscillation, namely a single spin 1. Despite the spin having no classical analogue, we first show that it can realize the van der Pol limit cycle deep in the quantum regime, which allows us to provide an analytical understanding to recently reported numerical results. Moving on to the equatorial limit cycle, we then reveal the existence of an interference-based quantum synchronization blockade and extend the classical Arnold tongue to a snake-like split tongue. Finally, we derive the maximum synchronization that can be achieved in the spin-1 system, and construct a limit cycle that reaches this fundamental limit asymptotically. Show Chinese abstract

Abstract: 我们开发了一个分析框架来研究量子自维持振荡器与外部信号的同步性。 我们的统一描述使我们能够确定量子同步所依赖的资源，并定量比较不同极限环和信号的同步行为。 我们专注于最基础的能够承载自维持振荡的量子系统，即单个自旋1。 尽管自旋没有经典的类比物，我们首先证明它可以在量子领域深处实现范德波尔极限环，这使我们能够为最近报道的数值结果提供解析理解。 转向赤道极限环时，我们揭示了基于干涉的量子同步阻塞的存在，并扩展了经典的阿诺德舌图到蛇形分裂舌图。 最后，我们推导出自旋-1系统中可以实现的最大同步性，并构建一个渐近达到这一基本限制的极限环。