Tuning Topological States by Dissipation

Fuente: arXiv
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Autores principales: Ren, Xue-Ping, Hu, Yue, Lu, Long-Ye, Ma, Xin-Ran, Fan, Ji-Yao, Guo, Cui-Xian, Kou, Su-Peng
Formato: Preprint
Publicado: 2025
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author Ren, Xue-Ping
Hu, Yue
Lu, Long-Ye
Ma, Xin-Ran
Fan, Ji-Yao
Guo, Cui-Xian
Kou, Su-Peng
author_facet Ren, Xue-Ping
Hu, Yue
Lu, Long-Ye
Ma, Xin-Ran
Fan, Ji-Yao
Guo, Cui-Xian
Kou, Su-Peng
contents The bulk-boundary correspondence plays a crucial role in topological quantum systems, however,this principle is broken in non-Hermitian systems. The breakdown of the bulk-boundary correspondence indicates that the global phase diagrams under open boundary conditions are significantly different from those under periodic boundary conditions. In this paper, we investigate how the bulk-boundary correspondence breaks down by gradually tearing the system. We find that by tuning the strength of gain and loss domain wall, in the thermodynamic limit, the global phase diagrams of the topological system become the hybrids of those under periodic and open boundary conditions. Moreover, during the breakdown of the bulk-boundary correspondence, several phase transitions occur. This situation is quite different from earlier work, where the breakdown of the bulk-boundary correspondence in the thermodynamic limit occurred suddenly due to infinitesimal boundary hopping amplitudes. To support our conclusions, we provide both analytical and numerical calculations. These results help researchers better understand non-Hermitian topological systems.
format Preprint
id arxiv_https___arxiv_org_abs_2505_16698
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Tuning Topological States by Dissipation
Ren, Xue-Ping
Hu, Yue
Lu, Long-Ye
Ma, Xin-Ran
Fan, Ji-Yao
Guo, Cui-Xian
Kou, Su-Peng
Quantum Physics
Other Condensed Matter
The bulk-boundary correspondence plays a crucial role in topological quantum systems, however,this principle is broken in non-Hermitian systems. The breakdown of the bulk-boundary correspondence indicates that the global phase diagrams under open boundary conditions are significantly different from those under periodic boundary conditions. In this paper, we investigate how the bulk-boundary correspondence breaks down by gradually tearing the system. We find that by tuning the strength of gain and loss domain wall, in the thermodynamic limit, the global phase diagrams of the topological system become the hybrids of those under periodic and open boundary conditions. Moreover, during the breakdown of the bulk-boundary correspondence, several phase transitions occur. This situation is quite different from earlier work, where the breakdown of the bulk-boundary correspondence in the thermodynamic limit occurred suddenly due to infinitesimal boundary hopping amplitudes. To support our conclusions, we provide both analytical and numerical calculations. These results help researchers better understand non-Hermitian topological systems.
title Tuning Topological States by Dissipation
topic Quantum Physics
Other Condensed Matter
url https://arxiv.org/abs/2505.16698