傅里叶变换极限预示单光子的产生
Generation of Fourier transform limited heralded single photons
摘要：
在本文中，我们研究了参量下转换过程中检测到闲置光子所触发的预示单光子波包的光谱（时间）特性。在时周期Wigner函数的框架内研究了产生的单光子，由此可以计算单光子谱宽和持续时间。我们推导了产生纯单光子和傅里叶变换受限单光子的双光子联合谱振幅的具体条件。同样，我们提出了具体的源的几何形状，导致这些条件的履行，并表明，这些几何形状之一，导致在给定的泵浦带宽，时间上最短的可能预示单光子波包。
英文摘要：
In this paper we study the spectral (temporal) properties of heralded single photon wavepackets, triggered by the detection of an idler photon in the process of parametric downconversion. The generated single photons are studied within the framework of the chronocyclic Wigner function, from which the single photon spectral width and temporal duration can be computed. We derive specific conditions on the two-photon joint spectral amplitude which result in both pure and Fourier- transform limited heralded single photons. Likewise, we present specific source geometries which lead to the fulfilment of these conditions and show that one of these geometries leads, for a given pump bandwidth, to the temporally shortest possible heralded single photon wavepackets.
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