Observation of localization reversal and harmonic generation in nonlinear non-Hermitian skin effect

Fuente: arXiv
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Main Authors: Wu, Junyao, Shen, Rui-Chang, Zhang, Li, Chen, Fujia, Wang, Bingbing, Chen, Hongsheng, Yang, Yihao, Xue, Haoran
Format: Preprint
Published: 2025
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_version_ 1866909855325880320
author Wu, Junyao
Shen, Rui-Chang
Zhang, Li
Chen, Fujia
Wang, Bingbing
Chen, Hongsheng
Yang, Yihao
Xue, Haoran
author_facet Wu, Junyao
Shen, Rui-Chang
Zhang, Li
Chen, Fujia
Wang, Bingbing
Chen, Hongsheng
Yang, Yihao
Xue, Haoran
contents The interplay between band topology and material nonlinearity gives rise to a variety of novel phenomena, such as topological solitons and nonlinearity-induced topological phase transitions. However, most previous studies fall within the Hermitian regime, leaving the impact of nonlinearity on non-Hermitian topology seldom explored. Here, we investigate the effects of nonlinearity on the non-Hermitian skin effect, a well-known non-Hermitian phenomenon induced by the point-gap topology unique to non-Hermitian systems. Interestingly, we discover a nonlinearity-induced point-gap topological phase transition accompanied by a reversal of the skin mode localization, which is distinct from previous nonlinearity-induced line-gap topological phases. This phenomenon is experimentally demonstrated in a nonlinear microwave metamaterial, where electromagnetic waves are localized around one end of the sample under a low-intensity pump, whereas at a high-intensity pump, the waves are localized around the other end. Our results open a new route towards nonlinear topological physics in non-Hermitian systems and are promising for reconfigurable topological wave manipulation.
format Preprint
id arxiv_https___arxiv_org_abs_2505_09179
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Observation of localization reversal and harmonic generation in nonlinear non-Hermitian skin effect
Wu, Junyao
Shen, Rui-Chang
Zhang, Li
Chen, Fujia
Wang, Bingbing
Chen, Hongsheng
Yang, Yihao
Xue, Haoran
Mesoscale and Nanoscale Physics
The interplay between band topology and material nonlinearity gives rise to a variety of novel phenomena, such as topological solitons and nonlinearity-induced topological phase transitions. However, most previous studies fall within the Hermitian regime, leaving the impact of nonlinearity on non-Hermitian topology seldom explored. Here, we investigate the effects of nonlinearity on the non-Hermitian skin effect, a well-known non-Hermitian phenomenon induced by the point-gap topology unique to non-Hermitian systems. Interestingly, we discover a nonlinearity-induced point-gap topological phase transition accompanied by a reversal of the skin mode localization, which is distinct from previous nonlinearity-induced line-gap topological phases. This phenomenon is experimentally demonstrated in a nonlinear microwave metamaterial, where electromagnetic waves are localized around one end of the sample under a low-intensity pump, whereas at a high-intensity pump, the waves are localized around the other end. Our results open a new route towards nonlinear topological physics in non-Hermitian systems and are promising for reconfigurable topological wave manipulation.
title Observation of localization reversal and harmonic generation in nonlinear non-Hermitian skin effect
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2505.09179