Scale-tailored localization and its observation in non-Hermitian electrical circuits
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arXiv
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| Format: | Preprint |
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2024
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| author | Guo, Cui-Xian Su, Luhong Wang, Yongliang Li, Li Wang, Jinzhe Ruan, Xinhui Du, Yanjing Zheng, Dongning Chen, Shu Hu, Haiping |
| author_facet | Guo, Cui-Xian Su, Luhong Wang, Yongliang Li, Li Wang, Jinzhe Ruan, Xinhui Du, Yanjing Zheng, Dongning Chen, Shu Hu, Haiping |
| contents | Anderson localization and non-Hermitian skin effect are two paradigmatic wave localization phenomena, resulting from wave interference and the intrinsic non-Hermitian point gap, respectively. In this study, we unveil a novel localization phenomenon associated with long-range asymmetric coupling, termed scale-tailored localization, where the number of induced localized modes and their localization lengths scale exclusively with the coupling range. We show that the long-range coupling fundamentally reshapes the energy spectra and eigenstates by creating multiple connected paths on the lattice. Furthermore, we present experimental observations of scale-tailored localization in non-Hermitian electrical circuits utilizing adjustable voltage followers and switches. The circuit admittance spectra possess separate point-shaped and loop-shaped components in the complex energy plane, corresponding respectively to skin modes and scale-tailored localized states. Our findings not only expand and deepen the understanding of peculiar effects induced by non-Hermiticity but also offer a feasible experimental platform for exploring and controlling wave localizations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_18339 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Scale-tailored localization and its observation in non-Hermitian electrical circuits Guo, Cui-Xian Su, Luhong Wang, Yongliang Li, Li Wang, Jinzhe Ruan, Xinhui Du, Yanjing Zheng, Dongning Chen, Shu Hu, Haiping Mesoscale and Nanoscale Physics Other Condensed Matter Optics Quantum Physics Anderson localization and non-Hermitian skin effect are two paradigmatic wave localization phenomena, resulting from wave interference and the intrinsic non-Hermitian point gap, respectively. In this study, we unveil a novel localization phenomenon associated with long-range asymmetric coupling, termed scale-tailored localization, where the number of induced localized modes and their localization lengths scale exclusively with the coupling range. We show that the long-range coupling fundamentally reshapes the energy spectra and eigenstates by creating multiple connected paths on the lattice. Furthermore, we present experimental observations of scale-tailored localization in non-Hermitian electrical circuits utilizing adjustable voltage followers and switches. The circuit admittance spectra possess separate point-shaped and loop-shaped components in the complex energy plane, corresponding respectively to skin modes and scale-tailored localized states. Our findings not only expand and deepen the understanding of peculiar effects induced by non-Hermiticity but also offer a feasible experimental platform for exploring and controlling wave localizations. |
| title | Scale-tailored localization and its observation in non-Hermitian electrical circuits |
| topic | Mesoscale and Nanoscale Physics Other Condensed Matter Optics Quantum Physics |
| url | https://arxiv.org/abs/2410.18339 |