发表机构
Institute for Solid State Physics, University of Tokyo; Department of Physics, Graduate School of Science, The University of Tokyo; Institute for Physics of Intelligence, The University of Tokyo; Trans-Scale Quantum Science Institute, The University of Tokyo（东京大学固体物理研究所; 东京大学理学研究科物理学系; 东京大学物理智能研究所; 东京大学跨尺度量子科学研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究对量子击穿模型进行了对称性和量子混沌分类，发现其具有Z4周期性和手性对称性，并拥有指数多个零模，通过谱隙和硬边谱统计揭示了量子混沌特征。
AI 中文摘要
量子击穿模型是一个随机相互作用的费米子模型，其动机源于介电击穿的物理。在此，我们建立了零维、全对全相互作用的量子击穿模型中对称性和量子混沌的分类。该模型表现出关于费米子模式数量的Z4周期性，这让人联想到Sachdev-Ye-Kitaev模型的对称性分类。量子击穿模型的一个独特特征是，它实现了所有五个具有手性对称性的类，并拥有由手性指标保护的大量多体零模。我们阐明了谱隙的分离和标度，并证明了对称性增强的硬边谱统计作为手性对称类中量子混沌的特征。
英文摘要
The quantum breakdown model is a model of randomly interacting fermions, motivated by the physics of dielectric breakdown. Here, we establish classification of symmetry and quantum chaos in a zero-dimensional, all-to-all-interacting version of the quantum breakdown model. It exhibits the $\mathbb{Z}_4$ periodicity with respect to the number of fermionic modes, reminiscent of the symmetry classification of the Sachdev-Ye-Kitaev model. A unique feature of the quantum breakdown model is that it realizes all the five classes with chiral symmetry and hosts an exponentially large number of many-body zero modes protected by the chiral index. We elucidate the separation and scaling of the spectral gap and demonstrate the symmetry-enriched hard-edge spectral statistics as signatures of quantum chaos in the chiral symmetry classes.
Comments16 pages, 5 figures, 7 tables
