第41卷第6期2024年12月J.At.Mol.Phys.,2024,41:065002(6pp)交叉克尔非线性对二阶非线性诱导透明的影响原子与分子物理学报JOURNALOFATOMICANDMOLECULARPHYSICSVol.41No.6Dec.2024孟楠（郑州商学院通识教育中心，郑州451200）摘要：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，再通过对海森堡一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.关键词：交叉克尔非线性；诱导透明；量子光学中图分类号：0431.2Effectofcross-Kerrnonlinearityonsecond-ordernonlinearityinducedtransparency文献标识码：AD0I:10.19855/j.1000-0364.2024.065002MENGNan(GeneralEducationCenter,ZhengzhouBusinessUniversity,Zhengzhou451200,China)Abstract:Consideringthepresenceofcross-Kerrnonlinearityinthecouplingmedium,theinfluenceofthecross-Kerreffectonthesecond-ordernonlinearityinducedtransparencyincoupleddualopticalcavitiesisstud-iedanalytically.Firstly,theHamiltonianthatdescribesthetheoreticalmodelofthesystemisgiven,andthenthetransmittanceofthedetectionfieldisobtainedbylinearizingtheHeisenberg-Langevinequation,andfinallytheabsorptionanddispersionrelationsofthesystemareobtained.Thenumericalsimulationresultsshowedthatwhenthestrengthofthecross-Kerrnonlinearityissmall,itsinfluenceontheinducedtransparencycanbeignored.Asthestrengthofthecross-Kerrnonlinearityincreases,thewidthoftheinducedtransparencywindownarrowsrapid-ly.Inaddition,doubleabsorptionpeaksappearintheabsorptioncurve.Whenthecross-Kerrnonlinearityisfur-therenhanced,theoriginalinducedtransparencydisappears,andanewinducedtransparencyisgeneratedatthenewabsorptionpeak.Thezero-absorpt...
