Anti-parity-time topologically undefined state

Researches on the topological edge state in the photonic lattice are attracting considerable attention. Here, we report the studies on a particular state for which the topological invariant is undefined. We constructed an anti-parity-time-symmetric photonic lattice by using the perturbation method....

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Main Authors: Haohao Wang, Kaiwen Ji, Yuandan Wang, Zhenjuan Liu, Yuanmei Gao, Yanlong Shen, Shi Bai, Koji Sugioka, Xinyuan Qi
Format: Article
Language:English
Published: IOP Publishing 2021-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/ac4052
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author Haohao Wang
Kaiwen Ji
Yuandan Wang
Zhenjuan Liu
Yuanmei Gao
Yanlong Shen
Shi Bai
Koji Sugioka
Xinyuan Qi
author_facet Haohao Wang
Kaiwen Ji
Yuandan Wang
Zhenjuan Liu
Yuanmei Gao
Yanlong Shen
Shi Bai
Koji Sugioka
Xinyuan Qi
author_sort Haohao Wang
collection DOAJ
description Researches on the topological edge state in the photonic lattice are attracting considerable attention. Here, we report the studies on a particular state for which the topological invariant is undefined. We constructed an anti-parity-time-symmetric photonic lattice by using the perturbation method. Light distributes only in the wide waveguides with equal magnitude for the state with undefined winding numbers. Further studies show that the equal intensity transmission is unaffected except for the defect site. Our work provides a new way to study the topological state and the equally divided light transmission and might be applicable in optical circuits and optical interconnect.
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spelling doaj.art-3b2d8a948871494693a5be7f8baa2c782023-08-09T14:17:49ZengIOP PublishingNew Journal of Physics1367-26302021-01-01231212303910.1088/1367-2630/ac4052Anti-parity-time topologically undefined stateHaohao Wang0Kaiwen Ji1Yuandan Wang2Zhenjuan Liu3Yuanmei Gao4Yanlong Shen5Shi Bai6Koji Sugioka7Xinyuan Qi8School of Physics, Northwest University , 710127, Xi’an, People’s Republic of ChinaSchool of Physics, Northwest University , 710127, Xi’an, People’s Republic of ChinaSchool of Physics, Northwest University , 710127, Xi’an, People’s Republic of ChinaSchool of Physics, Northwest University , 710127, Xi’an, People’s Republic of ChinaCollege of Physics and Electronics, Shandong Normal University , Jinan, 250014, People’s Republic of ChinaState Key Laboratory of Laser Interaction with Matter, Northwest Institute of Nuclear Technology , Xi’an Shaanxi 710024, People’s Republic of ChinaRIKEN Center for Advanced Photonics , Hirosawa 2-1, Wako, Saitama 351-0198, JapanRIKEN Center for Advanced Photonics , Hirosawa 2-1, Wako, Saitama 351-0198, JapanSchool of Physics, Northwest University , 710127, Xi’an, People’s Republic of ChinaResearches on the topological edge state in the photonic lattice are attracting considerable attention. Here, we report the studies on a particular state for which the topological invariant is undefined. We constructed an anti-parity-time-symmetric photonic lattice by using the perturbation method. Light distributes only in the wide waveguides with equal magnitude for the state with undefined winding numbers. Further studies show that the equal intensity transmission is unaffected except for the defect site. Our work provides a new way to study the topological state and the equally divided light transmission and might be applicable in optical circuits and optical interconnect.https://doi.org/10.1088/1367-2630/ac4052undefined winding numbertopological photonicsanti-parity-time symmetry
spellingShingle Haohao Wang
Kaiwen Ji
Yuandan Wang
Zhenjuan Liu
Yuanmei Gao
Yanlong Shen
Shi Bai
Koji Sugioka
Xinyuan Qi
Anti-parity-time topologically undefined state
New Journal of Physics
undefined winding number
topological photonics
anti-parity-time symmetry
title Anti-parity-time topologically undefined state
title_full Anti-parity-time topologically undefined state
title_fullStr Anti-parity-time topologically undefined state
title_full_unstemmed Anti-parity-time topologically undefined state
title_short Anti-parity-time topologically undefined state
title_sort anti parity time topologically undefined state
topic undefined winding number
topological photonics
anti-parity-time symmetry
url https://doi.org/10.1088/1367-2630/ac4052
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AT kaiwenji antiparitytimetopologicallyundefinedstate
AT yuandanwang antiparitytimetopologicallyundefinedstate
AT zhenjuanliu antiparitytimetopologicallyundefinedstate
AT yuanmeigao antiparitytimetopologicallyundefinedstate
AT yanlongshen antiparitytimetopologicallyundefinedstate
AT shibai antiparitytimetopologicallyundefinedstate
AT kojisugioka antiparitytimetopologicallyundefinedstate
AT xinyuanqi antiparitytimetopologicallyundefinedstate