纠缠光子的角施密特谱：非共线相位匹配的精确公式推导和实验表征
Angular Schmidt spectrum of entangled photons: derivation of an exact formula and experimental characterization for non-collinear phase matching
摘要：
我们推导了由参量下转换（PDC）产生的轨道角动量（OAM）纠缠态的角施密特谱的精确公式。我们表明，我们的公式产生真正的理论频谱没有任何收敛问题，因为已经与以前推导的公式的情况。此外，我们使用这个公式来实验表征的角度施密特光谱的非共线PDC。我们报告的测量非常广泛的角度施密特光谱对应的角度施密特数高达233，据我们所知，这是迄今为止报道的最高数字。我们的研究对于基于OAM的量子信息应用具有重要意义。
英文摘要：
We derive an exact formula for the angular Schmidt spectrum of the orbital angular momentum (OAM)-entangled states produced by parametric down-conversion (PDC). We show that our formula yields true theoretical spectrum without any convergence issue as has been the case with the previously derived formulas. Furthermore, we use this formula to experimentally characterize the angular Schmidt spectrum for non-collinear PDC. We report the measurements of very broad angular Schmidt spectra corresponding to angular Schmidt numbers up to 233, which, to the best of our knowledge, is the highest number reported so far. Our studies can be very important for OAM-based quantum information applications.
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