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Chin. Phys. B, 2024, Vol. 33(6): 064204    DOI: 10.1088/1674-1056/ad2507
ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS Prev   Next  

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
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.
Keywords:  cross-Kerr      transmission rate      nonreciprocity      four-wave mixing  
Received:  14 December 2023      Revised:  22 January 2024      Accepted manuscript online:  02 February 2024
PACS:  42.79.Sz (Optical communication systems, multiplexers, and demultiplexers?)  
  03.67.-a (Quantum information)  
  42.50.Pq (Cavity quantum electrodynamics; micromasers)  
  43.58.Wc (Electrical and mechanical oscillators)  
Fund: 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).
Corresponding Authors:  Li-Guo Qin, Jie-Hui Huang     E-mail:  lgqin@foxmail.com;huangjh@sues.edu.cn

Cite this article: 

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 2024 Chin. Phys. B 33 064204

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