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• W2952072617 abstract "The hallmark of symmetry-protected topological (SPT) phases is the existence of anomalous boundary states, which can only be realized with the corresponding bulk system. In this work, we show that for every Hermitian anomalous boundary mode of the ten Altland-Zirnbauer classes, a non-Hermitian counterpart can be constructed, whose long time dynamics provides a realization of the anomalous boundary state. We prove that the non-Hermitian counterpart is characterized by a point-gap topological invariant, and furthermore, that the invariant exactly matches that of the corresponding Hermitian anomalous boundary mode. We thus establish a correspondence between the topological classifications of $(d+1)$-dimensional gapped Hermitian systems and $d$-dimensional point-gapped non-Hermitian systems. We illustrate this general result with a number of examples in different dimensions. This work provides a new perspective on point-gap topological invariants in non-Hermitian systems." @default.
• W2952072617 created "2019-06-27" @default.
• W2952072617 creator A5009701496 @default.
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• W2952072617 date "2019-11-13" @default.
• W2952072617 modified "2023-10-16" @default.
• W2952072617 title "Topological Correspondence between Hermitian and Non-Hermitian Systems: Anomalous Dynamics" @default.
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• W2952072617 doi "https://doi.org/10.1103/physrevlett.123.206404" @default.
• W2952072617 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/31809078" @default.
• W2952072617 hasPublicationYear "2019" @default.
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