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Coherent Transport in Photonic Lattices: A Survey of Recent Analytic Results
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Coherent Transport in Photonic Lattices: A Survey of Recent Analytic Results
Інший ID:
2010 Mathematics Subject Classification: 33C45; 81P45; 81V80
DOI:10.3842/SIGMA.2017.074
DOI:10.3842/SIGMA.2017.074
Посилання:
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.
Підтримка:
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.
Дата:
2017
Переглядів:
465
Завантажень:
178
Анотація:
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.
