论文标题

对称和同步阻滞

Symmetries and Synchronization Blockade

论文作者

Solanki, Parvinder, Mehdi, Faraz Mohd, Hajdušek, Michal, Vinjanampathy, Sai

论文摘要

同步阻滞是指量子同步的干涉取消。在本手稿中,我们展示了同步度量和哈密顿对称性的选择如何影响同步阻滞的讨论。使用计数原则,我们证明一般定理表明,当用于定义对角线极限周期状态的连贯状态在整个$ su(n)$ group中时,不能在$ n $级别的系统中观察到同步封锁。我们介绍了多级系统中同步阻滞的几个说明性示例,并证明了同步的信息理论度量也可以通过适当选择一组极限循环状态来观察类似于同步的封锁行为。

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.

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