对称性与同步阻塞
Symmetries and Synchronization Blockade
AI总结：
本文研究了同步阻塞与哈密顿对称性及度量选择的关系，证明在完整SU(N)群下N能级系统无同步阻塞，并展示信息论度量可呈现类似行为。
摘要：
同步阻塞指的是量子同步的干涉相消现象。在本手稿中，我们展示了同步度量选择与哈密顿对称性如何影响同步阻塞的讨论。利用计数原理，我们证明了一个一般性定理：当用于定义对角极限环态的相干态属于完整的SU(N)群时，在N能级系统中无法观察到同步阻塞。我们给出了多能级系统中同步阻塞的几个示例，并证明了通过适当选择极限环态集合，信息论同步度量也能观察到类似同步阻塞的行为。
英文摘要：
Synchronization blockade refers to an interferometric cancellation of quantum synchronization. In this manuscript, we show how the choice of synchronization measure and Hamiltonian symmetries affect the discussion of synchronization blockade. Using counting principles, we prove a general theorem that synchronization blockade cannot be observed in an $N-$level system when the coherent state used to define the diagonal limit-cycle state is in the full $SU(N)$ group. We present several illustrative examples of synchronization blockade in multi-level systems and prove that information-theoretic measures of synchronization can also observe synchronization blockade-like behavior by an appropriate choice of the set of limit cycle states.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
