论文标题
通过晶格超对称性破坏弱点
Weak-ergodicity-breaking via lattice supersymmetry
论文作者
论文摘要
我们研究了$ d $二维$ n = 2 $超对称晶格模型的光谱属性。我们发现，我们以退化的一组伦理侵入性超对称（SUSY）双峰的形式从本征态热化假说（ETH）进行了系统的偏离，也称为多体疤痕。这些状态是针对任意Susy延迟扰动的稳定的，包括不均匀的耦合。对于两腿梯子的具体情况，我们提供了广泛的数值证据，这些证据表明这些国家是如何违反ETH的，并讨论了他们对Susy侵犯的稳健性。我们的工作提出了一种通用机制，可以在任意维度中稳定晶格模型中的量子多体疤痕。
We study the spectral properties of $D$-dimensional $N=2$ supersymmetric lattice models. We find systematic departures from the eigenstate thermalization hypothesis (ETH) in the form of a degenerate set of ETH-violating supersymmetric (SUSY) doublets, also referred to as many-body scars, that we construct analytically. These states are stable against arbitrary SUSY-preserving perturbations, including inhomogeneous couplings. For the specific case of two-leg ladders, we provide extensive numerical evidence that shows how those states are the only ones violating the ETH, and discuss their robustness to SUSY-violating perturbations. Our work suggests a generic mechanism to stabilize quantum many-body scars in lattice models in arbitrary dimensions.
