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 |
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Автори: | , |
Формат: | Стаття |
Мова: | English |
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Інститут математики НАН України
2017
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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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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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1837473243141767168 |