Theory of topological corner state laser in Kagome waveguide arrays
In comparison with conventional lasers, topological lasers are more robust and can be immune to disorder or defects if lasing occurs in topologically protected states. Previously reported topological lasers were almost exclusively based on the first-order photonic topological insulators. Here, we sh...
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doaj-35af091126a540b1a214dd1e2d1d490d2021-05-04T14:08:07ZengAIP Publishing LLCAPL Photonics2378-09672021-04-0164040802040802-1010.1063/5.0042975Theory of topological corner state laser in Kagome waveguide arraysHua Zhong0Yaroslav V. Kartashov1Alexander Szameit2Yongdong Li3Chunliang Liu4Yiqi Zhang5Key Laboratory for Physical Electronics and Devices of the Ministry of Education & Shaanxi Key Lab of Information Photonic Technique, School of Electronic and Information Engineering, Xi’an Jiaotong University, Xi’an 710049, ChinaICFO-Institut de Ciències Fotòniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels, Barcelona, SpainInstitute for Physics, University of Rostock, 18059 Rostock, GermanyKey Laboratory for Physical Electronics and Devices of the Ministry of Education & Shaanxi Key Lab of Information Photonic Technique, School of Electronic and Information Engineering, Xi’an Jiaotong University, Xi’an 710049, ChinaKey Laboratory for Physical Electronics and Devices of the Ministry of Education & Shaanxi Key Lab of Information Photonic Technique, School of Electronic and Information Engineering, Xi’an Jiaotong University, Xi’an 710049, ChinaKey Laboratory for Physical Electronics and Devices of the Ministry of Education & Shaanxi Key Lab of Information Photonic Technique, School of Electronic and Information Engineering, Xi’an Jiaotong University, Xi’an 710049, ChinaIn comparison with conventional lasers, topological lasers are more robust and can be immune to disorder or defects if lasing occurs in topologically protected states. Previously reported topological lasers were almost exclusively based on the first-order photonic topological insulators. Here, we show that lasing can be achieved in the zero-dimensional corner state in a second-order photonic topological insulator, which is based on the Kagome waveguide array with a rhombic configuration. If gain is present in the corner of the structure, where the topological corner state resides, stable lasing in this state is achieved, with the lowest possible threshold, in the presence of uniform losses and two-photon absorption. When gain acts in other corners of the structure, lasing may occur in edge or bulk states, but it requires substantially larger thresholds, and transition to stable lasing occurs over much larger propagation distances, sometimes due to instabilities, which are absent for lasing in corner states. We find that increasing two-photon absorption generally plays strong stabilizing action for nonlinear lasing states. The transition to stable lasing stimulated by noisy inputs is illustrated. Our work demonstrates the realistic setting for corner state lasers based on higher-order topological insulators realized with waveguide arrays.http://dx.doi.org/10.1063/5.0042975 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Hua Zhong Yaroslav V. Kartashov Alexander Szameit Yongdong Li Chunliang Liu Yiqi Zhang |
spellingShingle |
Hua Zhong Yaroslav V. Kartashov Alexander Szameit Yongdong Li Chunliang Liu Yiqi Zhang Theory of topological corner state laser in Kagome waveguide arrays APL Photonics |
author_facet |
Hua Zhong Yaroslav V. Kartashov Alexander Szameit Yongdong Li Chunliang Liu Yiqi Zhang |
author_sort |
Hua Zhong |
title |
Theory of topological corner state laser in Kagome waveguide arrays |
title_short |
Theory of topological corner state laser in Kagome waveguide arrays |
title_full |
Theory of topological corner state laser in Kagome waveguide arrays |
title_fullStr |
Theory of topological corner state laser in Kagome waveguide arrays |
title_full_unstemmed |
Theory of topological corner state laser in Kagome waveguide arrays |
title_sort |
theory of topological corner state laser in kagome waveguide arrays |
publisher |
AIP Publishing LLC |
series |
APL Photonics |
issn |
2378-0967 |
publishDate |
2021-04-01 |
description |
In comparison with conventional lasers, topological lasers are more robust and can be immune to disorder or defects if lasing occurs in topologically protected states. Previously reported topological lasers were almost exclusively based on the first-order photonic topological insulators. Here, we show that lasing can be achieved in the zero-dimensional corner state in a second-order photonic topological insulator, which is based on the Kagome waveguide array with a rhombic configuration. If gain is present in the corner of the structure, where the topological corner state resides, stable lasing in this state is achieved, with the lowest possible threshold, in the presence of uniform losses and two-photon absorption. When gain acts in other corners of the structure, lasing may occur in edge or bulk states, but it requires substantially larger thresholds, and transition to stable lasing occurs over much larger propagation distances, sometimes due to instabilities, which are absent for lasing in corner states. We find that increasing two-photon absorption generally plays strong stabilizing action for nonlinear lasing states. The transition to stable lasing stimulated by noisy inputs is illustrated. Our work demonstrates the realistic setting for corner state lasers based on higher-order topological insulators realized with waveguide arrays. |
url |
http://dx.doi.org/10.1063/5.0042975 |
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