Dynamical universality is the observation that the dynamical properties of different systems might exhibit universal behavior that are independent of the system details. In this Letter, we study the longtime dynamics of a one-dimensional noisy quantum magnetic model, and find that even though the system is inevitably driven to an infinite temperature state, the relaxation dynamics towards such a featureless state can be highly nontrivial and universal. The effect of various mode-coupling mechanisms (external potential, disorder, interaction, and the interplay between them) as well as the conservation law on the longtime dynamics of the systems have been studied, and their relevance with current ultracold atomic experiments has been discussed.

中文翻译：

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噪声驱动的通用动力学向无限温度状态发展。

动态通用性是观察到的是，不同系统的动态特性可能表现出与系统详细信息无关的通用行为。在这封信中，我们研究了一维噪声量子磁模型的长期动力学，发现即使将系统不可避免地驱动到无限温度状态，朝着这种无特征状态的弛豫动力学也可以是非常平凡的和普遍的。研究了各种模式耦合机制（外部电位，无序，相互作用以及它们之间的相互作用）的影响以及守恒律对系统长期动力学的影响，并讨论了它们与当前超冷原子实验的相关性。