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Please use this identifier to cite or link to this item: https://elib.bsu.by/handle/123456789/311271
Title: Rudner Photonic Topological Insulators in the Language of the Zhegalkin Operators
Authors: Fedchenko, D.
Kulikov, V.
Timofeev, I.
Keywords: ЭБ БГУ::ЕСТЕСТВЕННЫЕ И ТОЧНЫЕ НАУКИ::Физика
Issue Date: 2023
Publisher: Minsk : Education and Upbringing
Citation: Nonlinear Phenomena in Complex Systems. - 2023. - Vol. 26. - № 1. - P. 72-76
Abstract: A topological insulator is a material that exhibits the properties of a conductor on the surface and of an insulator in the bulk. The Rudner game is a simplified model of a topological insulator implemented on a two-dimensional photonic lattice of resonators, which is described in the language of tricolor four-cycle two-dimensional Wolfram cellular automata. It is a case of a regular two-dimensional lattice, in which each cell is colored in one of three colors (for a photonic topological insulator, these colors mean the presence of a photon in a resonator, the absence of a photon, and a topological insulator boundary). By setting the transformation rule for each cell, depending on the state of the nearest neighbors and the cell itself, for equal discrete time intervals we obtain a cellular automaton. In this study, the Rudner game is rewritten equivalently in terms of operators in the Zhegalkin polynomial ring with coefficients in a field consisting of three elements.
URI: https://elib.bsu.by/handle/123456789/311271
ISSN: 1561-4085
DOI: 10.33581/1561-4085-2023-26-1-72-76
Licence: info:eu-repo/semantics/openAccess
Appears in Collections:2023. Volume 26. Number 1

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