An analytical model for cross-Kerr nonlinearity in a four-level N-type atomic system with Doppler broadening

doi:10.1088/1674-1056/ac2d19

中国物理B ›› 2022, Vol. 31 ›› Issue (2): 24201-024201.doi: 10.1088/1674-1056/ac2d19

An analytical model for cross-Kerr nonlinearity in a four-level N-type atomic system with Doppler broadening

Dinh Xuan Khoa, Nguyen Huy Bang, Nguyen Le Thuy An, Nguyen Van Phu, and Le Van Doai^†

Vinh University, 182 Le Duan Street, Vinh City, Vietnam

收稿日期:2021-04-23 修回日期:2021-08-23 接受日期:2021-10-06 出版日期:2022-01-13 发布日期:2022-01-25
通讯作者: Le Van Doai E-mail:doailv@vinhuni.edu.vn
基金资助:
This work was supported by Vietnam's Ministry of Education and Training under Grant No. B2018-TDV-01SP.

An analytical model for cross-Kerr nonlinearity in a four-level N-type atomic system with Doppler broadening

Dinh Xuan Khoa, Nguyen Huy Bang, Nguyen Le Thuy An, Nguyen Van Phu, and Le Van Doai^†

Vinh University, 182 Le Duan Street, Vinh City, Vietnam

Received:2021-04-23 Revised:2021-08-23 Accepted:2021-10-06 Online:2022-01-13 Published:2022-01-25
Contact: Le Van Doai E-mail:doailv@vinhuni.edu.vn
Supported by:
This work was supported by Vietnam's Ministry of Education and Training under Grant No. B2018-TDV-01SP.

摘要/Abstract

摘要： We present an analytical model for cross-Kerr nonlinear coefficient in a four-level N-type atomic medium under Doppler broadening. The model is applied to ⁸⁷Rb atoms to analyze the dependence of the cross-Kerr nonlinear coefficient on the external light field and the temperature of atomic vapor. The analysis shows that in the absence of electromagnetically induced transparency (EIT) the cross-Kerr nonlinear coefficient is zero, but it is significantly enhanced when the EIT is established. It means that the cross-Kerr effect can be turned on/off when the external light field is on or off. Simultaneously, the amplitude and the sign of the cross-Kerr nonlinear coefficient are easily changed according to the intensity and frequency of the external light field. The amplitude of the cross-Kerr nonlinear coefficient remarkably decreases when the temperature of atomic medium increases. The analytical model can be convenient to fit experimental observations and applied to photonic devices.

关键词: electromagnetically induced transparency, Kerr nonlinear effect, Doppler effect

Abstract: We present an analytical model for cross-Kerr nonlinear coefficient in a four-level N-type atomic medium under Doppler broadening. The model is applied to ⁸⁷Rb atoms to analyze the dependence of the cross-Kerr nonlinear coefficient on the external light field and the temperature of atomic vapor. The analysis shows that in the absence of electromagnetically induced transparency (EIT) the cross-Kerr nonlinear coefficient is zero, but it is significantly enhanced when the EIT is established. It means that the cross-Kerr effect can be turned on/off when the external light field is on or off. Simultaneously, the amplitude and the sign of the cross-Kerr nonlinear coefficient are easily changed according to the intensity and frequency of the external light field. The amplitude of the cross-Kerr nonlinear coefficient remarkably decreases when the temperature of atomic medium increases. The analytical model can be convenient to fit experimental observations and applied to photonic devices.

Key words: electromagnetically induced transparency, Kerr nonlinear effect, Doppler effect

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

42.50.Gy

42.65.-k (Nonlinear optics)

Dinh Xuan Khoa, Nguyen Huy Bang, Nguyen Le Thuy An, Nguyen Van Phu, and Le Van Doai. An analytical model for cross-Kerr nonlinearity in a four-level N-type atomic system with Doppler broadening[J]. 中国物理B, 2022, 31(2): 24201-024201.

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An analytical model for cross-Kerr nonlinearity in a four-level N-type atomic system with Doppler broadening

An analytical model for cross-Kerr nonlinearity in a four-level N-type atomic system with Doppler broadening

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