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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2017 |
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Інститут математики НАН України
2017
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| Zitieren: | 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| _version_ | 1862574634377936896 |
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| author | Bossé, E.-O. Vinet, L. |
| author_facet | Bossé, E.-O. Vinet, L. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-11-26T10:10:54Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-148758 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-26T10:10:54Z |
| publishDate | 2017 |
| publisher | Інститут математики НАН України |
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| spelling | Bossé, E.-O. Vinet, L. 2019-02-18T18:41:50Z 2019-02-18T18:41:50Z 2017 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 https://nasplib.isofts.kiev.ua/handle/123456789/148758 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Coherent Transport in Photonic Lattices: A Survey of Recent Analytic Results Article published earlier |
| spellingShingle | Coherent Transport in Photonic Lattices: A Survey of Recent Analytic Results Bossé, E.-O. Vinet, L. |
| title | 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_short | Coherent Transport in Photonic Lattices: A Survey of Recent Analytic Results |
| title_sort | coherent transport in photonic lattices: a survey of recent analytic results |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148758 |
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