Effects of cross-Kerr coupling on transmission spectrum of double-cavity optomechanical system

doi:10.1088/1674-1056/ad2507

中国物理B ›› 2024, Vol. 33 ›› Issue (6): 64204-064204.doi: 10.1088/1674-1056/ad2507

Effects of cross-Kerr coupling on transmission spectrum of double-cavity optomechanical system

Li-Teng Chen(陈立滕)¹, Li-Guo Qin(秦立国)^1,†, Li-Jun Tian(田立君)², Jie-Hui Huang(黄接辉)^1,‡, Nan-Run Zhou(周南润)³, and Shang-Qing Gong(龚尚庆)⁴

1 School of Mathematics, Physics and Statistics, Shanghai University of Engineering Science, Shanghai 201620, China;
2 Department of Physics, Shanghai University, Shanghai 200444, China;
3 School of Electrical Engineering, Shanghai University of Engineering Science, Shanghai 201620, China;
4 School of Physics, East China University of Science and Technology, Shanghai 200237, China

收稿日期:2023-12-14 修回日期:2024-01-22 接受日期:2024-02-02 出版日期:2024-06-18 发布日期:2024-06-18
通讯作者: Li-Guo Qin, Jie-Hui Huang E-mail:lgqin@foxmail.com;huangjh@sues.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61605225, 61772295, 12174247, and 11664018) and the Natural Science Foundation of Shanghai (Grant No. 16ZR1448400).

Effects of cross-Kerr coupling on transmission spectrum of double-cavity optomechanical system

Li-Teng Chen(陈立滕)¹, Li-Guo Qin(秦立国)^1,†, Li-Jun Tian(田立君)², Jie-Hui Huang(黄接辉)^1,‡, Nan-Run Zhou(周南润)³, and Shang-Qing Gong(龚尚庆)⁴

1 School of Mathematics, Physics and Statistics, Shanghai University of Engineering Science, Shanghai 201620, China;
2 Department of Physics, Shanghai University, Shanghai 200444, China;
3 School of Electrical Engineering, Shanghai University of Engineering Science, Shanghai 201620, China;
4 School of Physics, East China University of Science and Technology, Shanghai 200237, China

Received:2023-12-14 Revised:2024-01-22 Accepted:2024-02-02 Online:2024-06-18 Published:2024-06-18
Contact: Li-Guo Qin, Jie-Hui Huang E-mail:lgqin@foxmail.com;huangjh@sues.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61605225, 61772295, 12174247, and 11664018) and the Natural Science Foundation of Shanghai (Grant No. 16ZR1448400).

摘要/Abstract

摘要： We theoretically study the transmission spectrum of the cavity field in a double-cavity optomechanical system with cross-Kerr (CK) effect. The system consists of two tunneling coupling optomechanical cavities with a mechanical resonator as a coupling interface. By doping CK medium into the mechanical resonator, CK couplings between the cavity fields and the mechanical resonator are introduced. We investigate the effects of CK coupling strength on the transmission spectrum of the cavity field, including the transmission rate, nonreciprocity and four-wave mixing (FWM). We find that the transmission spectrum of the probe field can show two obvious transparent windows, which can be widened by increasing the CK coupling strength. For the transmission between the two cavity fields, the perfect nonreciprocity and reciprocity are present and modulated by CK coupling and phase difference between two effective optomechanical couplings. In addition, the effects of the optomechanical and CK couplings on FWM show that the single peak of FWM is split into three symmetrical peaks due to the introduction of the CK effect.

关键词: cross-Kerr, transmission rate, nonreciprocity, four-wave mixing

Abstract: We theoretically study the transmission spectrum of the cavity field in a double-cavity optomechanical system with cross-Kerr (CK) effect. The system consists of two tunneling coupling optomechanical cavities with a mechanical resonator as a coupling interface. By doping CK medium into the mechanical resonator, CK couplings between the cavity fields and the mechanical resonator are introduced. We investigate the effects of CK coupling strength on the transmission spectrum of the cavity field, including the transmission rate, nonreciprocity and four-wave mixing (FWM). We find that the transmission spectrum of the probe field can show two obvious transparent windows, which can be widened by increasing the CK coupling strength. For the transmission between the two cavity fields, the perfect nonreciprocity and reciprocity are present and modulated by CK coupling and phase difference between two effective optomechanical couplings. In addition, the effects of the optomechanical and CK couplings on FWM show that the single peak of FWM is split into three symmetrical peaks due to the introduction of the CK effect.

Key words: cross-Kerr, transmission rate, nonreciprocity, four-wave mixing

中图分类号: (Optical communication systems, multiplexers, and demultiplexers?)

42.79.Sz

03.67.-a (Quantum information) 42.50.Pq (Cavity quantum electrodynamics; micromasers) 43.58.Wc (Electrical and mechanical oscillators)

Li-Teng Chen(陈立滕), Li-Guo Qin(秦立国), Li-Jun Tian(田立君), Jie-Hui Huang(黄接辉), Nan-Run Zhou(周南润), and Shang-Qing Gong(龚尚庆). Effects of cross-Kerr coupling on transmission spectrum of double-cavity optomechanical system[J]. 中国物理B, 2024, 33(6): 64204-064204.

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Effects of cross-Kerr coupling on transmission spectrum of double-cavity optomechanical system

Effects of cross-Kerr coupling on transmission spectrum of double-cavity optomechanical system

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