Coherent Transport in Photonic Lattices: A Survey of Recent Analytic Results

The analytic specifications of photonic lattices with fractional revival (FR) and perfect state transfer (PST) are reviewed. The approach to their design which is based on orthogonal polynomials is highlighted. A compendium of analytic models with PST is offered. New results on their FR properties a...

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Дата:2017
Автори: Bossé, E.-O., Vinet, L.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2017
Назва видання:Symmetry, Integrability and Geometry: Methods and Applications
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/148758
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Coherent Transport in Photonic Lattices: A Survey of Recent Analytic Results / E.-O. Bossé, L. Vinet // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 52 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling irk-123456789-1487582019-02-19T01:25:04Z Coherent Transport in Photonic Lattices: A Survey of Recent Analytic Results Bossé, E.-O. Vinet, L. The analytic specifications of photonic lattices with fractional revival (FR) and perfect state transfer (PST) are reviewed. The approach to their design which is based on orthogonal polynomials is highlighted. A compendium of analytic models with PST is offered. New results on their FR properties are included. The nearest-neighbour approximation is adopted in most of the review; one analytic example with next-to-nearest neighbour interactions is also presented. 2017 Article Coherent Transport in Photonic Lattices: A Survey of Recent Analytic Results / E.-O. Bossé, L. Vinet // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 52 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 33C45; 81P45; 81V80 DOI:10.3842/SIGMA.2017.074 http://dspace.nbuv.gov.ua/handle/123456789/148758 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description The analytic specifications of photonic lattices with fractional revival (FR) and perfect state transfer (PST) are reviewed. The approach to their design which is based on orthogonal polynomials is highlighted. A compendium of analytic models with PST is offered. New results on their FR properties are included. The nearest-neighbour approximation is adopted in most of the review; one analytic example with next-to-nearest neighbour interactions is also presented.
format Article
author Bossé, E.-O.
Vinet, L.
spellingShingle Bossé, E.-O.
Vinet, L.
Coherent Transport in Photonic Lattices: A Survey of Recent Analytic Results
Symmetry, Integrability and Geometry: Methods and Applications
author_facet Bossé, E.-O.
Vinet, L.
author_sort Bossé, E.-O.
title Coherent Transport in Photonic Lattices: A Survey of Recent Analytic Results
title_short Coherent Transport in Photonic Lattices: A Survey of Recent Analytic Results
title_full Coherent Transport in Photonic Lattices: A Survey of Recent Analytic Results
title_fullStr Coherent Transport in Photonic Lattices: A Survey of Recent Analytic Results
title_full_unstemmed Coherent Transport in Photonic Lattices: A Survey of Recent Analytic Results
title_sort coherent transport in photonic lattices: a survey of recent analytic results
publisher Інститут математики НАН України
publishDate 2017
url http://dspace.nbuv.gov.ua/handle/123456789/148758
citation_txt Coherent Transport in Photonic Lattices: A Survey of Recent Analytic Results / E.-O. Bossé, L. Vinet // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 52 назв. — англ.
series Symmetry, Integrability and Geometry: Methods and Applications
work_keys_str_mv AT bosseeo coherenttransportinphotoniclatticesasurveyofrecentanalyticresults
AT vinetl coherenttransportinphotoniclatticesasurveyofrecentanalyticresults
first_indexed 2025-07-12T20:10:34Z
last_indexed 2025-07-12T20:10:34Z
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