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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 |
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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.
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Received: 21 February 2025
Revised: 11 April 2025
Accepted manuscript online: 07 May 2025
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PACS:
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03.75.Lm
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(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
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42.50.Md
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(Optical transient phenomena: quantum beats, photon echo, free-induction decay, dephasings and revivals, optical nutation, and self-induced transparency)
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43.25.Rq
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(Solitons, chaos)
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| Fund: Project supported by the Innovation Capability Improvement Project of Hebei Province, China (Grant No. 22567605H). |
Corresponding Authors:
Tian-Fu Xu
E-mail: tfxu@ysu.edu.cn
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Cite this article:
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 2025 Chin. Phys. B 34 080303
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