在Anderson定域哈密顿量中加入边界项导致纠缠的无限增长
Adding boundary terms to Anderson localized Hamiltonians leads to unbounded growth of entanglement
摘要：
众所周知，在Anderson定域系统中，从一个随机乘积态开始，纠缠熵始终保持有界。然而，我们发现，添加一个单一的边界项的安德森本地化的哈密顿导致无界增长的纠缠。我们的结果暗示了安德森局域化不是局域性质。如果不观察整个系统，就不能得出子系统具有安德森局域化行为的结论，因为离子系统任意远的项可以影响子系统的动力学，从而丢失安德森局域化的特征。
英文摘要：
It is well known that in Anderson localized systems, starting from a random product state the entanglement entropy remains bounded at all times. However, we show that adding a single boundary term to an Anderson localized Hamiltonian leads to unbounded growth of entanglement. Our results imply that Anderson localization is not a local property. One cannot conclude that a subsystem has Anderson localized behavior without looking at the whole system, as a term that is arbitrarily far from the subsystem can affect the dynamics of the subsystem in such a way that the features of Anderson localization are lost.
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