| 引用本文格式: Meng Nan. Effect of cross-Kerr nonlinearity on second-order nonlinearity induced transparency [J]. J. At. Mol. Phys., 2024, 41(6): 065002 (in Chinese) [孟楠. 交叉克尔非线性对二阶非线性诱导透明的影响 [J]. 原子与分子物理学报, 2024, 41(6): 065002] |
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| 交叉克尔非线性对二阶非线性诱导透明的影响 |
| Effect of cross-Kerr nonlinearity on second-order nonlinearity induced transparency |
| 摘要点击 244 全文点击 62 投稿时间：2023-04-11 修订日期：2023-04-24 |
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| DOI编号
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| 中文关键词
交叉克尔非线性 诱导透明 量子光学 |
| 英文关键词
Cross-Kerr nonlinearity Induced transparency Quantum optics |
| 基金项目
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| 中文摘要
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| 考虑耦合介质存在交叉克尔非线性的情形下，研究了交叉克尔效应对耦合双谐振腔中二阶非线性诱导透明的影响。首先给出了描述体系理论模型的哈密顿量，再通过对海森堡-朗之万方程进行线性化，得到了探测场的透射率，进而得出系统的吸收和色散关系。研究结果表明，在交叉克尔非线性强度较小时，可忽略其对诱导透明的影响；随着交叉克尔非线性强度的增大，诱导透明窗口宽度随之快速变窄。此外，吸收曲线中还出现了双吸收峰。进一步增强交叉克尔非线性，导致原本出现的诱导透明消失，并在新吸收峰处产生了新的诱导透明，新的诱导透明的吸收零点位置随着交叉克尔非线性增加而向左偏移。这些结果可能在不透明介质的窄窗口光传输和提高光学腔的性能方面提供一些参考。 |
| 英文摘要
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| Considering the presence of cross-Kerr nonlinearity in the coupling medium, the influence of the cross-Kerr effect on the second-order nonlinearity induced transparency in coupled dual optical cavities is studied analytically. Firstly, the Hamiltonian that describes the theoretical model of the system is given, and then the transmittance of the detection field is obtained by linearizing the Heisenberg-Langevin equation, and finally the absorption and dispersion relations of the system are obtained. The numerical simulation results showed that when the strength of the cross-Kerr nonlinearity is small, its influence on the induced transparency can be ignored. As the strength of the cross-Kerr nonlinearity increases, the width of the induced transparency window narrows rapidly. In addition, double absorption peaks appear in the absorption curve. When the cross-Kerr nonlinearity is further enhanced, the original induced transparency disappears, and a new induced transparency is generated at the new absorption peak. The zero-absorption position of the new induced transparency shifts to the left side as the cross-Kerr nonlinearity increases. These results may provide some useful assistance in the narrow-window light transmission of opaque media and the improvement of the performance of optical cavities. |
