Nonlinear Topological Effects in Optical Coupled Hexagonal Lattice

Topological physics in optical lattices have attracted much attention in recent years. The nonlinear effects on such optical systems remain well-explored and a large amount of progress has been achieved. In this paper, under the mean-field approximation for a nonlinearly optical coupled boson–hexago...

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Autores principales:	Fude Li, Kang Xue, Xuexi Yi
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	nonlinear energy band nonlinear Berry phase topological phase transition Science Q Astrophysics QB460-466 Physics QC1-999
Acceso en línea:	https://doaj.org/article/52eaee0d818f41eb9808f30126e9fe2a
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id	oai:doaj.org-article:52eaee0d818f41eb9808f30126e9fe2a
record_format	dspace
spelling	oai:doaj.org-article:52eaee0d818f41eb9808f30126e9fe2a2021-11-25T17:29:22ZNonlinear Topological Effects in Optical Coupled Hexagonal Lattice10.3390/e231114041099-4300https://doaj.org/article/52eaee0d818f41eb9808f30126e9fe2a2021-10-01T00:00:00Zhttps://www.mdpi.com/1099-4300/23/11/1404https://doaj.org/toc/1099-4300Topological physics in optical lattices have attracted much attention in recent years. The nonlinear effects on such optical systems remain well-explored and a large amount of progress has been achieved. In this paper, under the mean-field approximation for a nonlinearly optical coupled boson–hexagonal lattice system, we calculate the nonlinear Dirac cone and discuss its dependence on the parameters of the system. Due to the special structure of the cone, the Berry phase (two-dimensional Zak phase) acquired around these Dirac cones is quantized, and the critical value can be modulated by interactions between different lattices sites. We numerically calculate the overall Aharonov-Bohm (AB) phase and find that it is also quantized, which provides a possible topological number by which we can characterize the quantum phases. Furthermore, we find that topological phase transition occurs when the band gap closes at the nonlinear Dirac points. This is different from linear systems, in which the transition happens when the band gap closes and reopens at the Dirac points.Fude LiKang XueXuexi YiMDPI AGarticlenonlinear energy bandnonlinear Berry phasetopological phase transitionScienceQAstrophysicsQB460-466PhysicsQC1-999ENEntropy, Vol 23, Iss 1404, p 1404 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	nonlinear energy band nonlinear Berry phase topological phase transition Science Q Astrophysics QB460-466 Physics QC1-999
spellingShingle	nonlinear energy band nonlinear Berry phase topological phase transition Science Q Astrophysics QB460-466 Physics QC1-999 Fude Li Kang Xue Xuexi Yi Nonlinear Topological Effects in Optical Coupled Hexagonal Lattice
description	Topological physics in optical lattices have attracted much attention in recent years. The nonlinear effects on such optical systems remain well-explored and a large amount of progress has been achieved. In this paper, under the mean-field approximation for a nonlinearly optical coupled boson–hexagonal lattice system, we calculate the nonlinear Dirac cone and discuss its dependence on the parameters of the system. Due to the special structure of the cone, the Berry phase (two-dimensional Zak phase) acquired around these Dirac cones is quantized, and the critical value can be modulated by interactions between different lattices sites. We numerically calculate the overall Aharonov-Bohm (AB) phase and find that it is also quantized, which provides a possible topological number by which we can characterize the quantum phases. Furthermore, we find that topological phase transition occurs when the band gap closes at the nonlinear Dirac points. This is different from linear systems, in which the transition happens when the band gap closes and reopens at the Dirac points.
format	article
author	Fude Li Kang Xue Xuexi Yi
author_facet	Fude Li Kang Xue Xuexi Yi
author_sort	Fude Li
title	Nonlinear Topological Effects in Optical Coupled Hexagonal Lattice
title_short	Nonlinear Topological Effects in Optical Coupled Hexagonal Lattice
title_full	Nonlinear Topological Effects in Optical Coupled Hexagonal Lattice
title_fullStr	Nonlinear Topological Effects in Optical Coupled Hexagonal Lattice
title_full_unstemmed	Nonlinear Topological Effects in Optical Coupled Hexagonal Lattice
title_sort	nonlinear topological effects in optical coupled hexagonal lattice
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/52eaee0d818f41eb9808f30126e9fe2a
work_keys_str_mv	AT fudeli nonlineartopologicaleffectsinopticalcoupledhexagonallattice AT kangxue nonlineartopologicaleffectsinopticalcoupledhexagonallattice AT xuexiyi nonlineartopologicaleffectsinopticalcoupledhexagonallattice
_version_	1718412283008253952

Nonlinear Topological Effects in Optical Coupled Hexagonal Lattice

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