Exceptional points in a non-Hermitian topological pump
We investigate the effects of non-Hermiticity on topological pumping and uncover a connection between a topological edge invariant based on topological pumping and the winding numbers of exceptional points. In Hermitian lattices, it is known that the topologically nontrivial regime of the topologica...
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sg-ntu-dr.10356-807132020-03-07T13:57:25Z Exceptional points in a non-Hermitian topological pump Hu, Wenchao Wang, Hailong Shum, Perry Ping Chong, Yi Dong School of Electrical and Electronic Engineering School of Physical and Mathematical Sciences Centre for Disruptive Photonic Technologies (CDPT) Classical Optics Edge States DRNTU::Science::Physics We investigate the effects of non-Hermiticity on topological pumping and uncover a connection between a topological edge invariant based on topological pumping and the winding numbers of exceptional points. In Hermitian lattices, it is known that the topologically nontrivial regime of the topological pump only arises in the infinite-system limit. In finite non-Hermitian lattices, however, topologically nontrivial behavior can also appear, and we show that this can be understood as the effect of encircling a pair of exceptional points during a pumping cycle. This phenomenon is observed experimentally in a non-Hermitian microwave network containing variable-gain amplifiers. NRF (Natl Research Foundation, S’pore) MOE (Min. of Education, S’pore) Published version 2018-11-08T03:45:12Z 2019-12-06T13:55:15Z 2018-11-08T03:45:12Z 2019-12-06T13:55:15Z 2017 Journal Article Hu, W., Wang, H., Shum, P. P., & Chong, Y. D. (2017). Exceptional points in a non-Hermitian topological pump. Physical Review B, 95(18), 184306-. doi:10.1103/PhysRevB.95.184306 2469-9950 https://hdl.handle.net/10356/80713 http://hdl.handle.net/10220/46593 10.1103/PhysRevB.95.184306 en Physical Review B © 2017 American Physical Society (APS). This paper was published in Physical Review B and is made available as an electronic reprint (preprint) with permission of American Physical Society (APS). The published version is available at: [http://dx.doi.org/10.1103/PhysRevB.95.184306]. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law. 7 p. application/pdf |
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Classical Optics Edge States DRNTU::Science::Physics Hu, Wenchao Wang, Hailong Shum, Perry Ping Chong, Yi Dong Exceptional points in a non-Hermitian topological pump |
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We investigate the effects of non-Hermiticity on topological pumping and uncover a connection between a topological edge invariant based on topological pumping and the winding numbers of exceptional points. In Hermitian lattices, it is known that the topologically nontrivial regime of the topological pump only arises in the infinite-system limit. In finite non-Hermitian lattices, however, topologically nontrivial behavior can also appear, and we show that this can be understood as the effect of encircling a pair of exceptional points during a pumping cycle. This phenomenon is observed experimentally in a non-Hermitian microwave network containing variable-gain amplifiers. |
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School of Electrical and Electronic Engineering |
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School of Electrical and Electronic Engineering Hu, Wenchao Wang, Hailong Shum, Perry Ping Chong, Yi Dong |
format |
Article |
author |
Hu, Wenchao Wang, Hailong Shum, Perry Ping Chong, Yi Dong |
author_sort |
Hu, Wenchao |
title |
Exceptional points in a non-Hermitian topological pump |
title_short |
Exceptional points in a non-Hermitian topological pump |
title_full |
Exceptional points in a non-Hermitian topological pump |
title_fullStr |
Exceptional points in a non-Hermitian topological pump |
title_full_unstemmed |
Exceptional points in a non-Hermitian topological pump |
title_sort |
exceptional points in a non-hermitian topological pump |
publishDate |
2018 |
url |
https://hdl.handle.net/10356/80713 http://hdl.handle.net/10220/46593 |
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1681034483151667200 |