中国物理B ›› 2026, Vol. 35 ›› Issue (2): 24207-024207.doi: 10.1088/1674-1056/adf69d

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Multi-frequency non-reciprocal optical directional amplifier realized with non-Hermitian resonator arrays

Jin-Xiang Xue(薛金香)1, Chuan-Xun Du(杜传勋)1,3,†, Cheng-Chao Liu(刘成超)1, Liu Yang(杨柳)1, and Yong-Long Wang(王永龙)1,2,3,‡   

  1. 1 School of Physics and Electronic Engineering, Linyi University, Linyi 276005, China;
    2 Department of Physics, Nanjing University, Nanjing 210093, China;
    3 National Laboratory of Solid State Microstructures, Nanjing University, Nanjing 210093, China
  • 收稿日期:2025-04-14 修回日期:2025-07-30 接受日期:2025-08-01 发布日期:2026-01-27
  • 通讯作者: Chuan-Xun Du, Yong-Long Wang E-mail:duchuanxun@lyu.edu.cn;wangyonglong@lyu.edu.cn
  • 基金资助:
    This work is jointly supported by the National Nature Science Foundation of China (Grant Nos. 12475019 and 12073056), the Major National Science and Technology Project of China (Grant No. BX2024B054), National Lab of Solid State Microstructure of Nanjing University (Grant Nos. M35040, M35053, and M37014), and the Natural Science Foundation of Shandong Province (Grant No. ZR2024MA038).

Multi-frequency non-reciprocal optical directional amplifier realized with non-Hermitian resonator arrays

Jin-Xiang Xue(薛金香)1, Chuan-Xun Du(杜传勋)1,3,†, Cheng-Chao Liu(刘成超)1, Liu Yang(杨柳)1, and Yong-Long Wang(王永龙)1,2,3,‡   

  1. 1 School of Physics and Electronic Engineering, Linyi University, Linyi 276005, China;
    2 Department of Physics, Nanjing University, Nanjing 210093, China;
    3 National Laboratory of Solid State Microstructures, Nanjing University, Nanjing 210093, China
  • Received:2025-04-14 Revised:2025-07-30 Accepted:2025-08-01 Published:2026-01-27
  • Contact: Chuan-Xun Du, Yong-Long Wang E-mail:duchuanxun@lyu.edu.cn;wangyonglong@lyu.edu.cn
  • Supported by:
    This work is jointly supported by the National Nature Science Foundation of China (Grant Nos. 12475019 and 12073056), the Major National Science and Technology Project of China (Grant No. BX2024B054), National Lab of Solid State Microstructure of Nanjing University (Grant Nos. M35040, M35053, and M37014), and the Natural Science Foundation of Shandong Province (Grant No. ZR2024MA038).

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摘要： For a multi-frequency non-reciprocal optical device, we first realize multi-frequency optical non-reciprocal transmission using a non-Hermitian multi-mode resonator array. Practically, multi-frequency operation can add channels to the non-reciprocal optical device and the non-reciprocity can route optical signals and prevent the reverse flow of noise. Using the Scully-Lamb model and gain saturation effect, we accomplish dual-frequency non-reciprocal transmission by introducing nonlinearity into a linear array of four-mode resonators. The accomplishment is directly demonstrated by the non-reciprocal transmission phenomena present in the non-divergent peaks. For example, a directional cyclic amplifier is constructed with non-reciprocal units. Regarding potential applications, non-reciprocal optical systems can be employed in dual-frequency control, parallel information processing, photonic integrated circuits, optical devices and so on.

关键词: non-Hermitian systems, $\mathcal{PT}$-symmetry, multi-frequency of non-reciprocity, optical directional amplifier

Abstract: For a multi-frequency non-reciprocal optical device, we first realize multi-frequency optical non-reciprocal transmission using a non-Hermitian multi-mode resonator array. Practically, multi-frequency operation can add channels to the non-reciprocal optical device and the non-reciprocity can route optical signals and prevent the reverse flow of noise. Using the Scully-Lamb model and gain saturation effect, we accomplish dual-frequency non-reciprocal transmission by introducing nonlinearity into a linear array of four-mode resonators. The accomplishment is directly demonstrated by the non-reciprocal transmission phenomena present in the non-divergent peaks. For example, a directional cyclic amplifier is constructed with non-reciprocal units. Regarding potential applications, non-reciprocal optical systems can be employed in dual-frequency control, parallel information processing, photonic integrated circuits, optical devices and so on.

Key words: non-Hermitian systems, $\mathcal{PT}$-symmetry, multi-frequency of non-reciprocity, optical directional amplifier

中图分类号:  (Nonlinear optics)

  • 42.65.-k
42.50.Pq (Cavity quantum electrodynamics; micromasers) 03.65.Yz (Decoherence; open systems; quantum statistical methods)