Emulating the local Kuramoto model with an injection-locked photonic crystal laser array

Abstract The Kuramoto model is a mathematical model for describing the collective synchronization phenomena of coupled oscillators. We theoretically demonstrate that an array of coupled photonic crystal lasers emulates the Kuramoto model with non-delayed nearest-neighbor coupling (the local Kuramoto...

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Autores principales:	Naotomo Takemura, Kenta Takata, Masato Takiguchi, Masaya Notomi
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/b48ab433289146f5b9bc52aab0d26368
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spelling	oai:doaj.org-article:b48ab433289146f5b9bc52aab0d263682021-12-02T13:39:29ZEmulating the local Kuramoto model with an injection-locked photonic crystal laser array10.1038/s41598-021-86982-w2045-2322https://doaj.org/article/b48ab433289146f5b9bc52aab0d263682021-04-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-86982-whttps://doaj.org/toc/2045-2322Abstract The Kuramoto model is a mathematical model for describing the collective synchronization phenomena of coupled oscillators. We theoretically demonstrate that an array of coupled photonic crystal lasers emulates the Kuramoto model with non-delayed nearest-neighbor coupling (the local Kuramoto model). Our novel strategy employs indirect coupling between lasers via additional cold cavities. By installing cold cavities between laser cavities, we avoid the strong coupling of lasers and realize ideal mutual injection-locking with effective non-delayed dissipative coupling. First, after discussing the limit cycle interpretation of laser oscillation, we demonstrate the synchronization of two indirectly coupled lasers by numerically simulating coupled-mode equations. Second, by performing a phase reduction analysis, we show that laser dynamics in the proposed device can be mapped to the local Kuramoto model. Finally, we briefly demonstrate that a chain of indirectly coupled photonic crystal lasers actually emulates the one-dimensional local Kuramoto chain. We also argue that our proposed structure, which consists of periodically aligned cold cavities and laser cavities, will best be realized by using state-of-the-art buried multiple quantum well photonic crystals.Naotomo TakemuraKenta TakataMasato TakiguchiMasaya NotomiNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-11 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Naotomo Takemura Kenta Takata Masato Takiguchi Masaya Notomi Emulating the local Kuramoto model with an injection-locked photonic crystal laser array
description	Abstract The Kuramoto model is a mathematical model for describing the collective synchronization phenomena of coupled oscillators. We theoretically demonstrate that an array of coupled photonic crystal lasers emulates the Kuramoto model with non-delayed nearest-neighbor coupling (the local Kuramoto model). Our novel strategy employs indirect coupling between lasers via additional cold cavities. By installing cold cavities between laser cavities, we avoid the strong coupling of lasers and realize ideal mutual injection-locking with effective non-delayed dissipative coupling. First, after discussing the limit cycle interpretation of laser oscillation, we demonstrate the synchronization of two indirectly coupled lasers by numerically simulating coupled-mode equations. Second, by performing a phase reduction analysis, we show that laser dynamics in the proposed device can be mapped to the local Kuramoto model. Finally, we briefly demonstrate that a chain of indirectly coupled photonic crystal lasers actually emulates the one-dimensional local Kuramoto chain. We also argue that our proposed structure, which consists of periodically aligned cold cavities and laser cavities, will best be realized by using state-of-the-art buried multiple quantum well photonic crystals.
format	article
author	Naotomo Takemura Kenta Takata Masato Takiguchi Masaya Notomi
author_facet	Naotomo Takemura Kenta Takata Masato Takiguchi Masaya Notomi
author_sort	Naotomo Takemura
title	Emulating the local Kuramoto model with an injection-locked photonic crystal laser array
title_short	Emulating the local Kuramoto model with an injection-locked photonic crystal laser array
title_full	Emulating the local Kuramoto model with an injection-locked photonic crystal laser array
title_fullStr	Emulating the local Kuramoto model with an injection-locked photonic crystal laser array
title_full_unstemmed	Emulating the local Kuramoto model with an injection-locked photonic crystal laser array
title_sort	emulating the local kuramoto model with an injection-locked photonic crystal laser array
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/b48ab433289146f5b9bc52aab0d26368
work_keys_str_mv	AT naotomotakemura emulatingthelocalkuramotomodelwithaninjectionlockedphotoniccrystallaserarray AT kentatakata emulatingthelocalkuramotomodelwithaninjectionlockedphotoniccrystallaserarray AT masatotakiguchi emulatingthelocalkuramotomodelwithaninjectionlockedphotoniccrystallaserarray AT masayanotomi emulatingthelocalkuramotomodelwithaninjectionlockedphotoniccrystallaserarray
_version_	1718392639951208448

Emulating the local Kuramoto model with an injection-locked photonic crystal laser array

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