强非简并参量下转换的方位本征模
Azimuthal eigenmodes at strongly non-degenerate parametric down-conversion
摘要：
基于参量光下转换的量子光学技术尚未应用于太赫兹频率范围。这是由于太赫兹频率范围内探测单光子的复杂性和光学太赫兹双光子模式的强纠缠。本研究探讨了强非简并参量下转换产生的散射辐射的角结构时，空闲辐射的频率不超过几个太赫兹。我们证明，在一定的近似下，有可能获得方位角本征模的非线性相互作用算子。这些本征模中的场算子的演化方程的解具有Bogolyubov变换的形式，其允许对于任意值的参数增益获得散射矩阵。该散射矩阵描述了双光子对的产生和相关光太赫兹场的强通量的产生，所述相关光太赫兹场在两个光谱范围内形成辐射的宏观量子态。
英文摘要：
Quantum-optical technologies based on parametric light down-conversion are not yet applied in the terahertz frequency range. This is owing to the complexity of detecting single photons in the terahertz frequency range and the strong entanglement of modes of optical-terahertz biphotons. This study investigates the angular structure of scattered radiation generated by strongly non-degenerate parametric down-conversion when the frequency of the idler radiation does not exceed several terahertz. We demonstrate that under certain approximations, it is possible to obtain azimuthal eigenmodes for the nonlinear-interaction operator. The solution of the evolution equations for the field operators in these eigenmodes has the form of the Bogolyubov transformation, which allows a scattering matrix to be obtained for arbitrary values of the parametric gain. This scattering matrix describes both the production of biphoton pairs and the generation of intense fluxes of correlated optical-terahertz fields that form a macroscopic quantum state of radiation in two spectral ranges.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
