Yang Nan, Yu Ting
Center for Quantum Science and Engineering, and Department of Physics, Stevens Institute of Technology, Hoboken, NJ 07030, USA.
Entropy (Basel). 2025 Apr 16;27(4):432. doi: 10.3390/e27040432.
In this paper, we study the synchronization of dissipative quantum harmonic oscillators in the framework of a quantum open system via the active-passive decomposition (APD) configuration. We show that two or more quantum systems may be synchronized when the quantum systems of interest are embedded in dissipative environments and influenced by a common classical system. Such a classical system is typically termed a controller, which (1) can drive quantum systems to cross different regimes (e.g., from periodic to chaotic motions) and (2) constructs the so-called active-passive decomposition configuration, such that all the quantum objects under consideration may be synchronized. The main finding of this paper is that we demonstrate that the complete synchronizations measured using the standard quantum deviation may be achieved for both stable regimes (quantum limit circles) and unstable regimes (quantum chaotic motions). As an example, we numerically show in an optomechanical setup that complete synchronization can be realized in quantum mechanical resonators.
在本文中，我们通过主动-被动分解（APD）配置，在量子开放系统的框架下研究耗散量子谐振子的同步。我们表明，当感兴趣的量子系统嵌入到耗散环境中并受到一个共同的经典系统影响时，两个或更多的量子系统可能会实现同步。这样的经典系统通常被称为控制器，它（1）可以驱动量子系统跨越不同的状态（例如，从周期性运动到混沌运动），并且（2）构建所谓的主动-被动分解配置，使得所有考虑的量子对象都可以实现同步。本文的主要发现是，我们证明了对于稳定状态（量子极限环）和不稳定状态（量子混沌运动），使用标准量子偏差测量的完全同步都可以实现。作为一个例子，我们在一个光机械装置中通过数值模拟表明，量子力学谐振器中可以实现完全同步。
