发表机构
Okinawa Institute of Science and Technology Graduate University; National Tsing Hua University; National Center for Theoretical Sciences; Academia Sinica（冲绳科学技术大学院大学; 国立清华大学; 国家理论科学中心; 中央研究院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究通过半规范变换在随机矩阵哈密顿量模型中引入对称性缺陷，揭示了由底层对称性保护的量子多体疤痕态，为高维疤痕物理提供新方向。
AI 中文摘要
我们研究了对称性缺陷插入与量子多体疤痕现象之间的相互作用。我们利用一类通过嵌入机制获得的模型，该机制定义了一个随机矩阵形式的哈密顿量，承载着零能量的多体疤痕态。这些模型为探索对偶性、半规范操作等后果提供了一个有趣的平台。我们首先展示了在这类模型内部，缺陷插入后仍存在疤痕态的条件。我们工作的主要结果是对此类链中半规范变换的详细分析，该变换在我们的系统中引入了一个非平凡的界面，导致由底层对称性保护的疤痕态。对于半规范疤痕系统的结论具有普遍性，可能为更高维度的疤痕物理及其鲁棒性带来富有成效的研究方向。
英文摘要
We study the interplay between symmetry defects insertion and the phenomena of quantum many body scarring. We exploit a class of models obtained from an embedding mechanism that defines a stochastic matrix form hamiltonian, hosting zero energy many body scarred states. Such models display an interesting playground to explore the consequences of dualities, half-gauging operations and so on. We first show that inside this class of models, what are the conditions to still have scared states after defect insertion. The main result of our work is a detailed analysis of half-gauging in such chains, which introduces a non-trivial interface in our system, leading to scarred states protected by the underlying symmetries. The conclusions for half-gauged scarred systems are general and may lead to fruitful directions for higher dimension scarred physics and their robustness.
Comments3+1 Figures, 17 pages. Comments are welcome
