论文标题
从Hermitian关键到非热点的阶段
From Hermitian critical to non-Hermitian point-gapped phases
论文作者
论文摘要
近年来，人们对拓扑阶段的兴趣越来越大，超出了隔离，孤立系统的标准范式。最近的一个方向是探索通常用作开放系统的有效描述的非热门系统中的拓扑特征。另一个方向探索了拓扑点在临界点的命运，而整体间隙崩溃了。一个有趣的观察结果是，尽管这两个系统都非常不同，但具有某些拓扑特征。例如，这两个系统都可以托管半数量化的绕组数，并且具有非常相似的纠缠光谱。在这里，我们通过在存在sublattice对称性的情况下显示出具有非热点间隙阶段的关键系统中拓扑不变的等效性来显式。这种对应关系可能会延续到拓扑不变的以外的其他功能，甚至可能有助于使用我们对关键系统的知识来加深我们对非热门系统的理解，反之亦然。
Recent years have seen a growing interest in topological phases beyond the standard paradigm of gapped, isolated systems. One recent direction is to explore topological features in non-hermitian systems that are commonly used as effective descriptions of open systems. Another direction explores the fate of topology at critical points, where the bulk gap collapses. One interesting observation is that both systems, though very different, share certain topological features. For instance, both systems can host half-integer quantized winding numbers and have very similar entanglement spectra. Here, we make this similarity explicit by showing the equivalence of topological invariants in critical systems with non-hermitian point-gap phases, in the presence of sublattice symmetry. This correspondence may carry over to other features beyond topological invariants, and may even be helpful to deepen our understanding of non-hermitian systems using our knowledge of critical systems, and vice versa.
