Dynamically stable topological edge states in an extended Su-Schrieffer-Heeger ladder with balanced perturbation

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Hauptverfasser: Ma, E. S., Zhang, K. L., Song, Z.
Format: Preprint
Veröffentlicht: 2025
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author Ma, E. S.
Zhang, K. L.
Song, Z.
author_facet Ma, E. S.
Zhang, K. L.
Song, Z.
contents The on-site potentials may break the symmetry of a system, resulting in the loss of its original topology protected by the symmetry. In this work, we study the counteracting effect of non-Hermitian terms on real potentials, resulting in dynamically stable topological edge states. We show exactly for a class of systems that the spectrum remains unchanged in the presence of balanced perturbations. As a demonstration, we investigate an extended non-Hermitian Su-Schrieffer-Heeger(SSH) ladder. We find that the bulk-boundary correspondence still holds, and the zero-energy edge states become coalescing states. In comparison to the original SSH chain, such edge states are robust not only against local perturbations but also in the time domain. As a result, a trivial initial state can always evolve to a stable edge state. Our results provide insights for the application of time-domain stable topological quantum devices.
format Preprint
id arxiv_https___arxiv_org_abs_2506_05666
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Dynamically stable topological edge states in an extended Su-Schrieffer-Heeger ladder with balanced perturbation
Ma, E. S.
Zhang, K. L.
Song, Z.
Strongly Correlated Electrons
The on-site potentials may break the symmetry of a system, resulting in the loss of its original topology protected by the symmetry. In this work, we study the counteracting effect of non-Hermitian terms on real potentials, resulting in dynamically stable topological edge states. We show exactly for a class of systems that the spectrum remains unchanged in the presence of balanced perturbations. As a demonstration, we investigate an extended non-Hermitian Su-Schrieffer-Heeger(SSH) ladder. We find that the bulk-boundary correspondence still holds, and the zero-energy edge states become coalescing states. In comparison to the original SSH chain, such edge states are robust not only against local perturbations but also in the time domain. As a result, a trivial initial state can always evolve to a stable edge state. Our results provide insights for the application of time-domain stable topological quantum devices.
title Dynamically stable topological edge states in an extended Su-Schrieffer-Heeger ladder with balanced perturbation
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2506.05666