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Complex skin modes in non-Hermitian coupled laser arrays

From biological ecosystems to spin glasses, connectivity plays a crucial role in determining the function, dynamics, and resiliency of a network. In the realm of non-Hermitian physics, the possibility of complex and asymmetric exchange interactions ([Formula: see text] ) between a network of oscilla...

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Autores principales: Liu, Yuzhou G. N., Wei, Yunxuan, Hemmatyar, Omid, Pyrialakos, Georgios G., Jung, Pawel S., Christodoulides, Demetrios N., Khajavikhan, Mercedeh
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9705320/
https://www.ncbi.nlm.nih.gov/pubmed/36443286
http://dx.doi.org/10.1038/s41377-022-01030-0
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author Liu, Yuzhou G. N.
Wei, Yunxuan
Hemmatyar, Omid
Pyrialakos, Georgios G.
Jung, Pawel S.
Christodoulides, Demetrios N.
Khajavikhan, Mercedeh
author_facet Liu, Yuzhou G. N.
Wei, Yunxuan
Hemmatyar, Omid
Pyrialakos, Georgios G.
Jung, Pawel S.
Christodoulides, Demetrios N.
Khajavikhan, Mercedeh
author_sort Liu, Yuzhou G. N.
collection PubMed
description From biological ecosystems to spin glasses, connectivity plays a crucial role in determining the function, dynamics, and resiliency of a network. In the realm of non-Hermitian physics, the possibility of complex and asymmetric exchange interactions ([Formula: see text] ) between a network of oscillators has been theoretically shown to lead to novel behaviors like delocalization, skin effect, and bulk-boundary correspondence. An archetypical lattice exhibiting the aforementioned properties is that proposed by Hatano and Nelson in a series of papers in late 1990s. While the ramifications of these theoretical works in optics have been recently pursued in synthetic dimensions, the Hatano–Nelson model has yet to be realized in real space. What makes the implementation of these lattices challenging is the difficulty in establishing the required asymmetric exchange interactions in optical platforms. In this work, by using active optical oscillators featuring non-Hermiticity and nonlinearity, we introduce an anisotropic exchange between the resonant elements in a lattice, an aspect that enables us to observe the non-Hermitian skin effect, phase locking, and near-field beam steering in a Hatano–Nelson laser array. Our work opens up new regimes of phase-locking in lasers while shedding light on the fundamental physics of non-Hermitian systems.
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spelling pubmed-97053202022-11-30 Complex skin modes in non-Hermitian coupled laser arrays Liu, Yuzhou G. N. Wei, Yunxuan Hemmatyar, Omid Pyrialakos, Georgios G. Jung, Pawel S. Christodoulides, Demetrios N. Khajavikhan, Mercedeh Light Sci Appl Article From biological ecosystems to spin glasses, connectivity plays a crucial role in determining the function, dynamics, and resiliency of a network. In the realm of non-Hermitian physics, the possibility of complex and asymmetric exchange interactions ([Formula: see text] ) between a network of oscillators has been theoretically shown to lead to novel behaviors like delocalization, skin effect, and bulk-boundary correspondence. An archetypical lattice exhibiting the aforementioned properties is that proposed by Hatano and Nelson in a series of papers in late 1990s. While the ramifications of these theoretical works in optics have been recently pursued in synthetic dimensions, the Hatano–Nelson model has yet to be realized in real space. What makes the implementation of these lattices challenging is the difficulty in establishing the required asymmetric exchange interactions in optical platforms. In this work, by using active optical oscillators featuring non-Hermiticity and nonlinearity, we introduce an anisotropic exchange between the resonant elements in a lattice, an aspect that enables us to observe the non-Hermitian skin effect, phase locking, and near-field beam steering in a Hatano–Nelson laser array. Our work opens up new regimes of phase-locking in lasers while shedding light on the fundamental physics of non-Hermitian systems. Nature Publishing Group UK 2022-11-28 /pmc/articles/PMC9705320/ /pubmed/36443286 http://dx.doi.org/10.1038/s41377-022-01030-0 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Liu, Yuzhou G. N.
Wei, Yunxuan
Hemmatyar, Omid
Pyrialakos, Georgios G.
Jung, Pawel S.
Christodoulides, Demetrios N.
Khajavikhan, Mercedeh
Complex skin modes in non-Hermitian coupled laser arrays
title Complex skin modes in non-Hermitian coupled laser arrays
title_full Complex skin modes in non-Hermitian coupled laser arrays
title_fullStr Complex skin modes in non-Hermitian coupled laser arrays
title_full_unstemmed Complex skin modes in non-Hermitian coupled laser arrays
title_short Complex skin modes in non-Hermitian coupled laser arrays
title_sort complex skin modes in non-hermitian coupled laser arrays
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9705320/
https://www.ncbi.nlm.nih.gov/pubmed/36443286
http://dx.doi.org/10.1038/s41377-022-01030-0
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