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

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13
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Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13, випуск за цей рік
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dc.contributor.author	Bossé, E.-O.
dc.contributor.author	Vinet, L.
dc.date.accessioned	2019-02-18T18:41:50Z
dc.date.available	2019-02-18T18:41:50Z
dc.date.issued	2017
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 33C45; 81P45; 81V80
dc.identifier.other	DOI:10.3842/SIGMA.2017.074
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/148758
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue on Symmetries and Integrability of Dif ference Equations. The full collection is available at http://www.emis.de/journals/SIGMA/SIDE12.html. This survey is based in part on a talk given by one of us (L.V.) at SIDE12. We are grateful to the Guest Editors of the Special Issue in Symmetries and Integrability of Dif ference Equations for their invitation to write a topical review. The authors wish to thank Jean-Michel Lemay for his input on the para-Racah model as well as M. Christandl, V.X. Genest, H. Miki, S. Tsujimoto and A. Zhedanov for their collaboration on many of the advances presented here. E.-O.B. gratefully ´ acknowledges a scolarship from the Physics Department of Universit´e de Montr´eal. The research of L.V. is supported in part by a grant from NSERC (Canada). We wish to acknowledge the elaborate and constructive reports of the referees that have helped improve the paper.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Coherent Transport in Photonic Lattices: A Survey of Recent Analytic Results	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA