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Quantized angular momentum in topological optical systems

The Chern index characterizes the topological phases of nonreciprocal photonic systems. Unlike in electronics, the photonic Chern number has no clear physical meaning, except that it determines the number of unidirectional edge states supported by an interface with a trivial mirror. Here, we fill in...

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Autor principal: Silveirinha, Mário G.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2019
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6341178/
https://www.ncbi.nlm.nih.gov/pubmed/30664651
http://dx.doi.org/10.1038/s41467-018-08215-5
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author Silveirinha, Mário G.
author_facet Silveirinha, Mário G.
author_sort Silveirinha, Mário G.
collection PubMed
description The Chern index characterizes the topological phases of nonreciprocal photonic systems. Unlike in electronics, the photonic Chern number has no clear physical meaning, except that it determines the number of unidirectional edge states supported by an interface with a trivial mirror. Here, we fill in this gap by demonstrating that the photonic Chern number can be understood as the quantum of the light-angular momentum in a photonic insulator cavity. It is proven that for a large cavity, the thermal fluctuation-induced angular momentum is precisely quantized in the band-gaps of the bulk states. The nontrivial expectation of the light angular momentum is due to a circulation of thermal energy in closed orbits. Remarkably, this result can be extended to systems without a topological classification, and in such a case the “quantum” of the angular momentum density is determined by the net number of unidirectional edge states supported by the cavity walls.
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spelling pubmed-63411782019-01-23 Quantized angular momentum in topological optical systems Silveirinha, Mário G. Nat Commun Article The Chern index characterizes the topological phases of nonreciprocal photonic systems. Unlike in electronics, the photonic Chern number has no clear physical meaning, except that it determines the number of unidirectional edge states supported by an interface with a trivial mirror. Here, we fill in this gap by demonstrating that the photonic Chern number can be understood as the quantum of the light-angular momentum in a photonic insulator cavity. It is proven that for a large cavity, the thermal fluctuation-induced angular momentum is precisely quantized in the band-gaps of the bulk states. The nontrivial expectation of the light angular momentum is due to a circulation of thermal energy in closed orbits. Remarkably, this result can be extended to systems without a topological classification, and in such a case the “quantum” of the angular momentum density is determined by the net number of unidirectional edge states supported by the cavity walls. Nature Publishing Group UK 2019-01-21 /pmc/articles/PMC6341178/ /pubmed/30664651 http://dx.doi.org/10.1038/s41467-018-08215-5 Text en © The Author(s) 2019 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/.
spellingShingle Article
Silveirinha, Mário G.
Quantized angular momentum in topological optical systems
title Quantized angular momentum in topological optical systems
title_full Quantized angular momentum in topological optical systems
title_fullStr Quantized angular momentum in topological optical systems
title_full_unstemmed Quantized angular momentum in topological optical systems
title_short Quantized angular momentum in topological optical systems
title_sort quantized angular momentum in topological optical systems
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6341178/
https://www.ncbi.nlm.nih.gov/pubmed/30664651
http://dx.doi.org/10.1038/s41467-018-08215-5
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