脉冲模式非线性频率上转换的光子数量子统计特性研究

频率上转换技术在量子光学中的应用日益受到重视，而对脉冲模式的单光子水平的频率上转换的光子数量子统计和传递特性的理论研究还有待完善。在相互作用绘景下用三波混频方程重点讨论了时域上分别为连续相干光场和高斯脉冲相干光场的信号光和抽运光相互作用的非线性频率上转换过程中的光子数量子统计分布的保持和传递特性。结果表明在不同模式的信号光子和抽运光场相互作用下，非线性频率上转换过程可以传递和保持入射的信号光子的光子数量子统计分布特性，对于发展新型量子上转换器件和基于频率转换的量子操控器件有重要的参考意义。

Abstract

Frequency conversion technique attracts increasing attention in the applications in quantum optics. While the single-photon level pulse mode frequency conversion′s quantum photon number statistics and quantum transmission theory still need to be improved. The photon number statistical distribution and quantum state transference in the interaction picture are discussed by three-wave mixing equation of the nonlinear frequency up-conversion, where the signal photons and pump light field are either continuous wave or Gaussian-shaped pulse mode. The results show that in different modes of signal photons and pump light field interaction, the photon number statistical distribution can be transferred and remain the same as the incident signal photon in the nonlinear frequency conversion process. These results have important reference value for the development of new quantum up-conversion devices and quantum control devices which are based on quantum frequency conversion.

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