Dark-gap solitons with mixed nonlinear and linear lattices

doi:10.1088/1674-1056/add4dd

中国物理B ›› 2025, Vol. 34 ›› Issue (8): 80303-080303.doi: 10.1088/1674-1056/add4dd

Dark-gap solitons with mixed nonlinear and linear lattices

Xue-Fei Zhang(张雪菲), Xiao-Yang Wang(王笑阳), Hui-Lian Wei(魏慧莲), and Tian-Fu Xu(徐天赋)†

Hebei Key Laboratory of Microstructural Material Physics, School of Science, Yanshan University, Qinhuangdao 066004, China

收稿日期:2025-02-21 修回日期:2025-04-11 接受日期:2025-05-07 出版日期:2025-07-17 发布日期:2025-08-12
通讯作者: Tian-Fu Xu E-mail:tfxu@ysu.edu.cn
基金资助:
Project supported by the Innovation Capability Improvement Project of Hebei Province, China (Grant No. 22567605H).

Dark-gap solitons with mixed nonlinear and linear lattices

Xue-Fei Zhang(张雪菲), Xiao-Yang Wang(王笑阳), Hui-Lian Wei(魏慧莲), and Tian-Fu Xu(徐天赋)†

Hebei Key Laboratory of Microstructural Material Physics, School of Science, Yanshan University, Qinhuangdao 066004, China

Received:2025-02-21 Revised:2025-04-11 Accepted:2025-05-07 Online:2025-07-17 Published:2025-08-12
Contact: Tian-Fu Xu E-mail:tfxu@ysu.edu.cn
Supported by:
Project supported by the Innovation Capability Improvement Project of Hebei Province, China (Grant No. 22567605H).

摘要/Abstract

摘要： We study the existence and stability of dark-gap solitons in linear lattice and nonlinear lattices. The results indicate that the combination of linear and nonlinear lattices gives dark-gap solitons unique properties. The linear lattice can stabilize dark-gap solitons, while the nonlinear lattice reduces the stability of dark-gap solitons. On the basis of numerical analysis, we investigate the effects of lattice depth, chemical potential, nonlinear lattice amplitude, and nonlinear lattice period on the soliton in mixed lattices with the same and different periods. The stability of dark-gap soliton is studied carefully by means of real-time evolution and linear stability analysis. Dark-gap solitons can exist stably in the band gap, but the solitons formed by the mixed lattices are slightly different when the period is the same or different.

关键词: dark-gap solitons, nonlinear and linear lattices, linear stability analysis

Abstract: We study the existence and stability of dark-gap solitons in linear lattice and nonlinear lattices. The results indicate that the combination of linear and nonlinear lattices gives dark-gap solitons unique properties. The linear lattice can stabilize dark-gap solitons, while the nonlinear lattice reduces the stability of dark-gap solitons. On the basis of numerical analysis, we investigate the effects of lattice depth, chemical potential, nonlinear lattice amplitude, and nonlinear lattice period on the soliton in mixed lattices with the same and different periods. The stability of dark-gap soliton is studied carefully by means of real-time evolution and linear stability analysis. Dark-gap solitons can exist stably in the band gap, but the solitons formed by the mixed lattices are slightly different when the period is the same or different.

Key words: dark-gap solitons, nonlinear and linear lattices, linear stability analysis

中图分类号: (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)

03.75.Lm

42.50.Md (Optical transient phenomena: quantum beats, photon echo, free-induction decay, dephasings and revivals, optical nutation, and self-induced transparency) 43.25.Rq (Solitons, chaos)

Xue-Fei Zhang(张雪菲), Xiao-Yang Wang(王笑阳), Hui-Lian Wei(魏慧莲), and Tian-Fu Xu(徐天赋). Dark-gap solitons with mixed nonlinear and linear lattices[J]. 中国物理B, 2025, 34(8): 80303-080303.

Xue-Fei Zhang(张雪菲), Xiao-Yang Wang(王笑阳), Hui-Lian Wei(魏慧莲), and Tian-Fu Xu(徐天赋). Dark-gap solitons with mixed nonlinear and linear lattices[J]. Chin. Phys. B, 2025, 34(8): 80303-080303.

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Dark-gap solitons with mixed nonlinear and linear lattices

Dark-gap solitons with mixed nonlinear and linear lattices

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