论文标题
高增益参数下转换的量子空间动力学，并伴随着级联的上转换
Quantum spatial dynamics of high-gain parametric down-conversion accompanied by cascaded up-conversion
论文作者
论文摘要
在有限的非线性$χ^{（2）} $中，在参数近似中研究了量子级别转换（PDC）的量子级别转换（CUPC）。以Bogoliubov转换形式呈现的创建和歼灭操作员的确切解决方案对于高增益制度有效，并且明确包括PDC和CUPC的非零波形不匹配。通过使用特征方程的参数放大和振荡状态，分析了归化，三模式和四模式的情况。我们表明，参数放大存在于级联相匹配条件下的实现下，而PDC和CUPC过程均分别进行了非相匹配。估计CUPC对二元PDC的正交挤压的影响。
Quantum cascaded up-conversion (CUpC) of parametric down conversion (PDC) in a finite nonlinear $χ^{(2)}$-crystal is studied theoretically within parametric approximation. The exact solution for creation and annihilation operators presented in the form of Bogoliubov transformation is valid for the high-gain regime and explicitly includes the non-zero wavevector-mismatch both for the PDC and CUpC. With the use of characteristic equation parametric amplification and oscillating regimes are analysed for degenerate, three- and four-mode cases. We show that the parametric amplification exists under the fulfilment of the cascaded phase-matching conditions while both the PDC and CUpC processes are separately non-phase-matched. The influence of CUpC on quadrature squeezing of degenerate PDC is estimated.
