中国物理B ›› 2024, Vol. 33 ›› Issue (2): 20302-020302.doi: 10.1088/1674-1056/ad0bf0

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Chiral bound states in a staggered array of coupled resonators

Wu-Lin Jin(金伍林)1, Jing Li(李静)1, Jing Lu(卢竞)1, Zhi-Rui Gong(龚志瑞)2, and Lan Zhou(周兰)1,†   

  1. 1 Synergetic Innovation Center for Quantum Effects and Applications, Key Laboratory for Matter Microstructure and Function of Hunan Province, Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of the Ministry of Education, Synergetic Innovation Center for Quantum Effects and Applications, Institute of Interdisciplinary Studies, Xiangjiang-Laboratory and Department of Physics, Hunan Normal University, Changsha 410081, China;
    2 College of Physics and Optoelectronic Engineering, Shenzhen University, Shenzhen 518060, China
  • 收稿日期:2023-08-18 修回日期:2023-11-02 接受日期:2023-11-13 出版日期:2024-01-16 发布日期:2024-01-25
  • 通讯作者: Lan Zhou E-mail:zhoulan@hunnu.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11975095, 12075082, 11935006, and 12247105), the Major Sci-Tech Program of Hunan Province, China (Grant No. 2023ZJ1010), and the Natural Science Foundation of Guangdong Province, China (Grant Nos. 2019A1515011400 and 2023A151501223).

Chiral bound states in a staggered array of coupled resonators

Wu-Lin Jin(金伍林)1, Jing Li(李静)1, Jing Lu(卢竞)1, Zhi-Rui Gong(龚志瑞)2, and Lan Zhou(周兰)1,†   

  1. 1 Synergetic Innovation Center for Quantum Effects and Applications, Key Laboratory for Matter Microstructure and Function of Hunan Province, Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of the Ministry of Education, Synergetic Innovation Center for Quantum Effects and Applications, Institute of Interdisciplinary Studies, Xiangjiang-Laboratory and Department of Physics, Hunan Normal University, Changsha 410081, China;
    2 College of Physics and Optoelectronic Engineering, Shenzhen University, Shenzhen 518060, China
  • Received:2023-08-18 Revised:2023-11-02 Accepted:2023-11-13 Online:2024-01-16 Published:2024-01-25
  • Contact: Lan Zhou E-mail:zhoulan@hunnu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11975095, 12075082, 11935006, and 12247105), the Major Sci-Tech Program of Hunan Province, China (Grant No. 2023ZJ1010), and the Natural Science Foundation of Guangdong Province, China (Grant Nos. 2019A1515011400 and 2023A151501223).

摘要: We study the chiral bound states in a coupled-resonator array with staggered hopping strengths, which interacts with a two-level small atom through a single coupling point or two adjacent ones. In addition to the two typical bound states found above and below the energy bands, this system presents an extraordinary chiral bound state located within the energy gap. We use the chirality to quantify the breaking of the mirror symmetry. We find that the chirality value undergoes continuous changes by tuning the coupling strengths. The preferred direction of the chirality is controlled not only by the competition between the intracell and the intercell hoppings in the coupled-resonator array, but also by the coherence between the two coupling points. In the case with one coupling point, the chirality values varies monotonously with difference between the intracell hopping and the intercell hoppings. While in the case with two coupling points, due to the coherence between the two coupling points the perfect chiral states can be obtained.

关键词: bound states, two-level small atom, coupled-resonator array, chirality

Abstract: We study the chiral bound states in a coupled-resonator array with staggered hopping strengths, which interacts with a two-level small atom through a single coupling point or two adjacent ones. In addition to the two typical bound states found above and below the energy bands, this system presents an extraordinary chiral bound state located within the energy gap. We use the chirality to quantify the breaking of the mirror symmetry. We find that the chirality value undergoes continuous changes by tuning the coupling strengths. The preferred direction of the chirality is controlled not only by the competition between the intracell and the intercell hoppings in the coupled-resonator array, but also by the coherence between the two coupling points. In the case with one coupling point, the chirality values varies monotonously with difference between the intracell hopping and the intercell hoppings. While in the case with two coupling points, due to the coherence between the two coupling points the perfect chiral states can be obtained.

Key words: bound states, two-level small atom, coupled-resonator array, chirality

中图分类号:  (Relativistic wave equations)

  • 03.65.Pm
03.65.-w (Quantum mechanics)