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

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dc.contributor.authorBossé, E.-O.
dc.contributor.authorVinet, L.
dc.date.accessioned2019-02-18T18:41:50Z
dc.date.available2019-02-18T18:41:50Z
dc.date.issued2017
dc.description.abstractThe 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.sponsorshipThis 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.identifier.citationCoherent 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.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 33C45; 81P45; 81V80
dc.identifier.otherDOI:10.3842/SIGMA.2017.074
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/148758
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleCoherent Transport in Photonic Lattices: A Survey of Recent Analytic Resultsuk_UA
dc.typeArticleuk_UA

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