• Photonics Research
  • Vol. 11, Issue 2, 196 (2023)
Xiuye Liu1、2 and Jianhua Zeng1、2、*
Author Affiliations
  • 1State Key Laboratory of Transient Optics and Photonics, Xi’an Institute of Optics and Precision Mechanics of Chinese Academy of Sciences, Xi’an 710119, China
  • 2University of Chinese Academy of Sciences, Beijing 100049, China
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    DOI: 10.1364/PRJ.474527 Cite this Article Set citation alerts
    Xiuye Liu, Jianhua Zeng. Gap solitons in parity–time symmetric moiré optical lattices[J]. Photonics Research, 2023, 11(2): 196 Copy Citation Text show less

    Abstract

    Parity–time (PT) symmetric lattices have been widely studied in controlling the flow of waves, and recently, moiré superlattices, connecting the periodic and non-periodic potentials, have been introduced for exploring unconventional physical properties in physics, while the combination of both and nonlinear waves therein remains unclear. Here, we report a theoretical survey of nonlinear wave localizations in PT symmetric moiré optical lattices, with the aim of revealing localized gap modes of different types and their stabilization mechanism. We uncover the formation, properties, and dynamics of fundamental and higher-order gap solitons as well as vortical ones with topological charge, all residing in the finite bandgaps of the underlying linear-Bloch wave spectrum. The stability regions of localized gap modes are inspected in two numerical ways: linear-stability analysis and direct perturbance simulations. Our results provide an insightful understanding of soliton physics in combined versatile platforms of PT symmetric systems and moiré patterns.
    iΨt=122Ψ+VPT(r)Ψ+|Ψ|2Ψ,

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    VPT(r)=V1[(cos2x+cos2y)+iV0(sin2x+sin2y)]+V2[(cos2x+cos2y)+iV0(sin2x+sin2y)],

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    (xy)=(cosθsinθsinθcosθ)(xy).

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    μϕ=122ϕ+VPT(r)ϕ+|ϕ|2ϕ.

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    iλρ=122ρμρ+VPT(r)ρ+2|ϕ|2ρ+ϕ2ϱ,

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    iλϱ=+122ϱ+μϱVPT*(r)ϱ2|ϕ|2ϱϕ2ρ.

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    Xiuye Liu, Jianhua Zeng. Gap solitons in parity–time symmetric moiré optical lattices[J]. Photonics Research, 2023, 11(2): 196
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