Fractal-like photonic lattices and localized states arising from singular and nonsingular flatbands

We experimentally realize fractal-like photonic lattices by use of the cw-laser-writing technique, thereby observing distinct compact localized states (CLSs) associated with different flatbands in the same lattice setting. Such triangle-shaped lattices, akin to the first generation Sierpinski lattic...

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Autores principales:	Yuqing Xie, Limin Song, Wenchao Yan, Shiqi Xia, Liqin Tang, Daohong Song, Jun-Won Rhim, Zhigang Chen
Formato:	article
Lenguaje:	EN
Publicado:	AIP Publishing LLC 2021
Materias:	Applied optics. Photonics TA1501-1820
Acceso en línea:	https://doaj.org/article/4f1152772dfa4b169985b68811d350cb
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spelling	oai:doaj.org-article:4f1152772dfa4b169985b68811d350cb2021-12-01T18:51:31ZFractal-like photonic lattices and localized states arising from singular and nonsingular flatbands2378-096710.1063/5.0068032https://doaj.org/article/4f1152772dfa4b169985b68811d350cb2021-11-01T00:00:00Zhttp://dx.doi.org/10.1063/5.0068032https://doaj.org/toc/2378-0967We experimentally realize fractal-like photonic lattices by use of the cw-laser-writing technique, thereby observing distinct compact localized states (CLSs) associated with different flatbands in the same lattice setting. Such triangle-shaped lattices, akin to the first generation Sierpinski lattices, possess a band structure where singular non-degenerate and nonsingular degenerate flatbands coexist. By proper phase modulation of an input excitation beam, we demonstrate not only the simplest CLSs but also their superimposition into other complex mode structures. Our experimental and numerical results are corroborated by theoretical analysis. Furthermore, we show by numerical simulation a dynamical oscillation of the flatband states due to beating of the CLSs that have different eigenenergies. These results may provide inspiration for exploring fundamental phenomena arising from the interplay of fractal structure, flatband singularity, and real-space topology.Yuqing XieLimin SongWenchao YanShiqi XiaLiqin TangDaohong SongJun-Won RhimZhigang ChenAIP Publishing LLCarticleApplied optics. PhotonicsTA1501-1820ENAPL Photonics, Vol 6, Iss 11, Pp 116104-116104-8 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Applied optics. Photonics TA1501-1820
spellingShingle	Applied optics. Photonics TA1501-1820 Yuqing Xie Limin Song Wenchao Yan Shiqi Xia Liqin Tang Daohong Song Jun-Won Rhim Zhigang Chen Fractal-like photonic lattices and localized states arising from singular and nonsingular flatbands
description	We experimentally realize fractal-like photonic lattices by use of the cw-laser-writing technique, thereby observing distinct compact localized states (CLSs) associated with different flatbands in the same lattice setting. Such triangle-shaped lattices, akin to the first generation Sierpinski lattices, possess a band structure where singular non-degenerate and nonsingular degenerate flatbands coexist. By proper phase modulation of an input excitation beam, we demonstrate not only the simplest CLSs but also their superimposition into other complex mode structures. Our experimental and numerical results are corroborated by theoretical analysis. Furthermore, we show by numerical simulation a dynamical oscillation of the flatband states due to beating of the CLSs that have different eigenenergies. These results may provide inspiration for exploring fundamental phenomena arising from the interplay of fractal structure, flatband singularity, and real-space topology.
format	article
author	Yuqing Xie Limin Song Wenchao Yan Shiqi Xia Liqin Tang Daohong Song Jun-Won Rhim Zhigang Chen
author_facet	Yuqing Xie Limin Song Wenchao Yan Shiqi Xia Liqin Tang Daohong Song Jun-Won Rhim Zhigang Chen
author_sort	Yuqing Xie
title	Fractal-like photonic lattices and localized states arising from singular and nonsingular flatbands
title_short	Fractal-like photonic lattices and localized states arising from singular and nonsingular flatbands
title_full	Fractal-like photonic lattices and localized states arising from singular and nonsingular flatbands
title_fullStr	Fractal-like photonic lattices and localized states arising from singular and nonsingular flatbands
title_full_unstemmed	Fractal-like photonic lattices and localized states arising from singular and nonsingular flatbands
title_sort	fractal-like photonic lattices and localized states arising from singular and nonsingular flatbands
publisher	AIP Publishing LLC
publishDate	2021
url	https://doaj.org/article/4f1152772dfa4b169985b68811d350cb
work_keys_str_mv	AT yuqingxie fractallikephotoniclatticesandlocalizedstatesarisingfromsingularandnonsingularflatbands AT liminsong fractallikephotoniclatticesandlocalizedstatesarisingfromsingularandnonsingularflatbands AT wenchaoyan fractallikephotoniclatticesandlocalizedstatesarisingfromsingularandnonsingularflatbands AT shiqixia fractallikephotoniclatticesandlocalizedstatesarisingfromsingularandnonsingularflatbands AT liqintang fractallikephotoniclatticesandlocalizedstatesarisingfromsingularandnonsingularflatbands AT daohongsong fractallikephotoniclatticesandlocalizedstatesarisingfromsingularandnonsingularflatbands AT junwonrhim fractallikephotoniclatticesandlocalizedstatesarisingfromsingularandnonsingularflatbands AT zhigangchen fractallikephotoniclatticesandlocalizedstatesarisingfromsingularandnonsingularflatbands
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Fractal-like photonic lattices and localized states arising from singular and nonsingular flatbands

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