论文标题
通过对称出现的多体内界化
Many-body delocalization via symmetry emergence
论文作者
论文摘要
多体定位（MBL）提供了一种避免在多体量子系统中进行热化的机制。在这里，我们表明{\ It Reprent}对称性可以保护状态免受MBL的侵害。具体而言，我们提出了一个具有非本地相互作用的$ \ z_2 $对称模型，该模型具有分析已知的SU（2）不变，关键的基态。在很大的疾病强度下，所有有限能量密度的状态均处于玻璃MBL相位，而最低的能量状态却不是。但是，当扰动破坏出现的SU（2）对称性时，这些确实可以定位。该模型还提供了MBL的示例，在存在非本地，无序相互作用的情况下，这些相比比权力定律更结构化。提出的想法增加了“倒量子疤痕”的可能性，其中不表现出区域法纠缠的状态嵌入了MBL频谱中。
Many-body localization (MBL) provides a mechanism to avoid thermalization in many-body quantum systems. Here, we show that an {\it emergent} symmetry can protect a state from MBL. Specifically, we propose a $\Z_2$ symmetric model with nonlocal interactions, which has an analytically known, SU(2) invariant, critical ground state. At large disorder strength all states at finite energy density are in a glassy MBL phase, while the lowest energy states are not. These do, however, localize when a perturbation destroys the emergent SU(2) symmetry. The model also provides an example of MBL in the presence of nonlocal, disordered interactions that are more structured than a power law. The presented ideas raise the possibility of an `inverted quantum scar', in which a state that does not exhibit area law entanglement is embedded in an MBL spectrum, which does.
