论文标题
纯粹的状态动力学的经典性，马尔可道和本地详细平衡
Classicality, Markovianity and local detailed balance from pure state dynamics
论文作者
论文摘要
在描述多体系统中可观察到的有效动力学时，重复的随机性假设指出，该系统在短时间内返回到最大熵状态，这是一个至关重要的假设，是一个至关重要的假设，可以保证有效的动态是经典的，马尔可夫人，Markovian和遵守本地详细的平衡。尽管后一种行为经常在自然发生的过程中观察到，但重复的随机性假设与系统的微观可逆性公然矛盾。在这里，我们表明，在慢速和粗糙的可观察到的有效动力学的描述中，使用重复的随机性假设可以证明是合理的，我们将严格定义两个属性。然后，我们的派生将基本上仅调用本征态热假设和典型性参数。虽然可慢的观察的假设是微妙的，但它仅提供了必要但不足的条件，但它还提供了适用于开放系统以及多体系统的集体可观察的统一视角。我们所有的想法都通过研究旋转链中的密度波来数字验证。
When describing the effective dynamics of an observable in a many-body system, the repeated randomness assumption, which states that the system returns in a short time to a maximum entropy state, is a crucial hypothesis to guarantee that the effective dynamics is classical, Markovian and obeys local detailed balance. While the latter behaviour is frequently observed in naturally occurring processes, the repeated randomness assumption is in blatant contradiction to the microscopic reversibility of the system. Here, we show that the use of the repeated randomness assumption can be justified in the description of the effective dynamics of an observable that is both slow and coarse, two properties we will define rigorously. Then, our derivation will invoke essentially only the eigenstate thermalization hypothesis and typicality arguments. While the assumption of a slow observable is subtle, as it provides only a necessary but not sufficient condition, it also offers a unifying perspective applicable to, e.g., open systems as well as collective observables of many-body systems. All our ideas are numerically verified by studying density waves in spin chains.
