中国物理B ›› 2024, Vol. 33 ›› Issue (6): 60305-060305.doi: 10.1088/1674-1056/ad322a

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Topological laser on square lattice with gain-loss-induced higher-order corner modes

Ming-Jie Liao(廖明杰), Mei-Song Wei(韦梅松), Shuailing Wang(王帅领), Jingping Xu(许静平)†, and Yaping Yang(羊亚平)‡   

  1. MOE Key Laboratory of Advanced Micro-Structured Materials, School of Physics Science and Engineering, Tongji University, Shanghai 200092, China
  • 收稿日期:2023-12-26 修回日期:2024-02-26 接受日期:2024-03-11 出版日期:2024-06-18 发布日期:2024-06-18
  • 通讯作者: Jingping Xu, Yaping Yang E-mail:xx_jj_pp@tongji.edu.cn;yang_yaping@tongji.edu.cn
  • 基金资助:
    This work was supported by the National Natural Science Foundation of China (Grant Nos. 12274326 and 12174288) and the National Key R&D Program of China (Grant No. 2021YFA1400602).

Topological laser on square lattice with gain-loss-induced higher-order corner modes

Ming-Jie Liao(廖明杰), Mei-Song Wei(韦梅松), Shuailing Wang(王帅领), Jingping Xu(许静平)†, and Yaping Yang(羊亚平)‡   

  1. MOE Key Laboratory of Advanced Micro-Structured Materials, School of Physics Science and Engineering, Tongji University, Shanghai 200092, China
  • Received:2023-12-26 Revised:2024-02-26 Accepted:2024-03-11 Online:2024-06-18 Published:2024-06-18
  • Contact: Jingping Xu, Yaping Yang E-mail:xx_jj_pp@tongji.edu.cn;yang_yaping@tongji.edu.cn
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (Grant Nos. 12274326 and 12174288) and the National Key R&D Program of China (Grant No. 2021YFA1400602).

摘要: We investigate the higher-order topological laser in the two-dimensional (2D) coupled-cavity array. By adding staggered on-site gain and loss to the 2D Hermitian array with a trivial phase, the system will emerge degenerate topological corner modes, which are protected by bulk band gap. For such a non-Hermitian model, by adjusting the parameters of the system and introducing the pumping into the cavity at the corner, a single-mode lasing with topological protection emerges. Furthermore, single-mode lasing exists over a wide range of pumping strengths. No matter where the cavity is initially stimulated, after enough time evolution, all the cavities belonging to the topological corner mode can emit a stable laser.

关键词: topological corner modes, nonlinear saturated gain, single-mode lasing

Abstract: We investigate the higher-order topological laser in the two-dimensional (2D) coupled-cavity array. By adding staggered on-site gain and loss to the 2D Hermitian array with a trivial phase, the system will emerge degenerate topological corner modes, which are protected by bulk band gap. For such a non-Hermitian model, by adjusting the parameters of the system and introducing the pumping into the cavity at the corner, a single-mode lasing with topological protection emerges. Furthermore, single-mode lasing exists over a wide range of pumping strengths. No matter where the cavity is initially stimulated, after enough time evolution, all the cavities belonging to the topological corner mode can emit a stable laser.

Key words: topological corner modes, nonlinear saturated gain, single-mode lasing

中图分类号:  (Phases: geometric; dynamic or topological)

  • 03.65.Vf
03.65.Vf (Phases: geometric; dynamic or topological) 42.60.By (Design of specific laser systems) 42.60.-v (Laser optical systems: design and operation)