中国物理B ›› 2025, Vol. 34 ›› Issue (5): 54203-054203.doi: 10.1088/1674-1056/adb949

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Enhancement of four-wave mixing due to coherent hole burning in a degenerate two-level system

Zhi-Yuan Liu(刘知远)1, Yi-Fan Yao(姚一凡)1, Yue Sun(孙悦)1, Jia-Yu Han(韩佳瑜)1, and Ying-Jie Du(杜英杰)1,2,†   

  1. 1 School of Physics, Northwest University, Xi'an 710127, China;
    2 Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China
  • 收稿日期:2024-11-19 修回日期:2025-01-12 接受日期:2025-02-24 出版日期:2025-05-15 发布日期:2025-04-18
  • 通讯作者: Ying-Jie Du E-mail:yingjied@nwu.edu.cn
  • 基金资助:
    Project supported by the Open Subject of the State Key Laboratory of Quantum Optics and Quantum Optics Devices (Grant No. KF202209).

Enhancement of four-wave mixing due to coherent hole burning in a degenerate two-level system

Zhi-Yuan Liu(刘知远)1, Yi-Fan Yao(姚一凡)1, Yue Sun(孙悦)1, Jia-Yu Han(韩佳瑜)1, and Ying-Jie Du(杜英杰)1,2,†   

  1. 1 School of Physics, Northwest University, Xi'an 710127, China;
    2 Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China
  • Received:2024-11-19 Revised:2025-01-12 Accepted:2025-02-24 Online:2025-05-15 Published:2025-04-18
  • Contact: Ying-Jie Du E-mail:yingjied@nwu.edu.cn
  • Supported by:
    Project supported by the Open Subject of the State Key Laboratory of Quantum Optics and Quantum Optics Devices (Grant No. KF202209).

摘要: We present a theoretical study of four-wave mixing (FWM) in a degenerate two-level atomic system subject to a magnetic field whose Zeeman sublevels constitute a tripod-type atomic system, which is driven by a linearly polarized field, and coupled and probed by two sets of left and right circularly polarized fields. The optical effects of coherent hole burning (CHB) and electromagnetically induced transparency (EIT) are involved in the coherent system, among which the CHB has much larger response for the FWM than the EITs. Three situations of CHB are involved, and they are the solitary CHB, overlapped CHBs, and an overlap between CHB and EIT. The overlapped CHBs have the greatest magnitude of FWM signal among the three situations. Whereas, for the overlapped CHB and EIT, it has the smallest FWM magnitude, which is no more than one tenth of the former. While for the single CHB, the FWM magnitude is half of that of the overlapped CHBs. It is noted that, in the overlap between CHB and EIT, dual EIAs can be obtained, whose FWM signal also has an enhancement in comparison to no EIA.

关键词: four-wave mixing, coherent hole burning, electromagnetically induced transparency, electromagnetically induced absorption

Abstract: We present a theoretical study of four-wave mixing (FWM) in a degenerate two-level atomic system subject to a magnetic field whose Zeeman sublevels constitute a tripod-type atomic system, which is driven by a linearly polarized field, and coupled and probed by two sets of left and right circularly polarized fields. The optical effects of coherent hole burning (CHB) and electromagnetically induced transparency (EIT) are involved in the coherent system, among which the CHB has much larger response for the FWM than the EITs. Three situations of CHB are involved, and they are the solitary CHB, overlapped CHBs, and an overlap between CHB and EIT. The overlapped CHBs have the greatest magnitude of FWM signal among the three situations. Whereas, for the overlapped CHB and EIT, it has the smallest FWM magnitude, which is no more than one tenth of the former. While for the single CHB, the FWM magnitude is half of that of the overlapped CHBs. It is noted that, in the overlap between CHB and EIT, dual EIAs can be obtained, whose FWM signal also has an enhancement in comparison to no EIA.

Key words: four-wave mixing, coherent hole burning, electromagnetically induced transparency, electromagnetically induced absorption

中图分类号:  (Effects of atomic coherence on propagation, absorption, and Amplification of light; electromagnetically induced transparency and Absorption)

  • 42.50.Gy
32.80.Qk (Coherent control of atomic interactions with photons) 42.65.-k (Nonlinear optics)