In the recent publication [Opt. Expr 28, 1249 (2020)] the single photon scattering is studied in a second-order nonlinear system. In this paper, we study controllable single photon scattering in a one-dimensional waveguide coupling with an additional cavity by second order nonlinear materials in a non-cascading configuration, where the additional cavity is embedded with a two-level atom and filled with Kerr-nonlinear materials. Considering the second order nonlinear coupling, we analyze the transmission properties of the three different coupling forms as follows: (i) The two-level atom is excited without the Kerr-nonlinearity. (ii)The Kerr-nonlinearity is excited without the two-level atom. (iii) Both of the two-level atom and Kerr-nonlinearity are excited. The transmission and reflection amplitudes are obtained by the discrete coordinates approach for the three cases. The results show that the transmission properties can be adjusted by the above three different coupling forms, which indicate our scheme can be used as a single photon switch to control the transmission and reflection of the single photon in the one-dimensional coupled resonant waveguide, and which is compared to the results with a two level system [Phys. Rev. A 85, 053840 (2012)] and find the advantages.

中文翻译：

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一维耦合谐振器波导中的单光子传输，具有二阶非线性耦合到包含两级原子和克尔非线性的纳米腔

在最近的出版物 [Opt. Expr 28, 1249 (2020)] 在二阶非线性系统中研究了单光子散射。在本文中，我们通过非级联配置中的二阶非线性材料研究了一维波导耦合中的可控单光子散射，其中附加腔嵌入了双能级原子并填充了 Kerr-非线性材料。考虑到二阶非线性耦合，我们分析了三种不同耦合形式的传输特性如下： (i) 两能级原子在没有克尔非线性的情况下被激发。(ii) 克尔非线性在没有两能级原子的情况下被激发。(iii) 两能级原子和克尔非线性都被激发。对于三种情况，透射和反射幅度是通过离散坐标方法获得的。结果表明，通过上述三种不同的耦合形式可以调节传输特性，表明我们的方案可以作为单光子开关来控制单光子在一维耦合谐振波导中的传输和反射，并且将其与两级系统的结果进行比较 [Phys. Rev. A 85, 053840 (2012)] 并找出优点。并将其与两级系统的结果进行比较 [Phys. Rev. A 85, 053840 (2012)] 并找出优点。并将其与两级系统的结果进行比较 [Phys. Rev. A 85, 053840 (2012)] 并找出优势。