Mirkin Nicolás, Wisniacki Diego A
Departamento de Física "J. J. Giambiagi" and IFIBA, FCEyN, Universidad de Buenos Aires, Buenos Aires 1428, Argentina.
Entropy (Basel). 2021 Oct 20;23(11):1377. doi: 10.3390/e23111377.
Quantum Darwinism (QD) is the process responsible for the proliferation of redundant information in the environment of a quantum system that is being decohered. This enables independent observers to access separate environmental fragments and reach consensus about the system's state. In this work, we study the effect of disorder in the emergence of QD and find that a highly disordered environment is greatly beneficial for it. By introducing the notion of lack of redundancy to quantify objectivity, we show that it behaves analogously to the entanglement entropy (EE) of the environmental eigenstate taken as an initial state. This allows us to estimate the many-body mobility edge by means of our Darwinistic measure, implicating the existence of a critical degree of disorder beyond which the degree of objectivity rises the larger the environment is. The latter hints the key role that disorder may play when the environment is of a thermodynamic size. At last, we show that a highly disordered evolution may reduce the spoiling of redundancy in the presence of intra-environment interactions.
量子达尔文主义（QD）是在量子系统退相干环境中导致冗余信息增殖的过程。这使得独立观察者能够访问不同的环境片段并就系统状态达成共识。在这项工作中，我们研究了无序对量子达尔文主义出现的影响，发现高度无序的环境对其极为有利。通过引入缺乏冗余的概念来量化客观性，我们表明它的行为类似于以环境本征态作为初始态的纠缠熵（EE）。这使我们能够借助达尔文主义测度来估计多体迁移率边缘，意味着存在一个临界无序度，超过该临界值，环境越大，客观性程度上升得越高。后者暗示了在环境具有热力学规模时无序可能发挥的关键作用。最后，我们表明在存在环境内部相互作用的情况下，高度无序的演化可能会减少冗余的破坏。
