Parametric resonances and resonant delocalisation in quasi-phase matched photon-pair generation and quantum frequency conversion
Parametric resonances and resonant delocalisation in quasi-phase matched photon-pair generation and quantum frequency conversion
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DOI：
10.1088/1367-2630/ab319e
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发表时间：
2019-02
影响因子：
3.3
通讯作者：
P. Main;P. Mosley;A. Gorbach
中科院分区：
文献类型：
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作者：
P. Main;P. Mosley;A. Gorbach
现有的通过非线性光学晶体和光波导中的自发下转换(SPDC)产生光子对的理论是不完整的，因为它没有考虑到参数共振这一重要的物理现象。我们证明了经典光场在参数共振区的指数增益对应于量子SPDC的Glauber-Fock模型中的共振离域。我们提出了一种测量Floquet本征模局域化的定量方法，作为经典增益的类比，以识别共振离域的区域。利用这种方法，我们能够重建SPDC不稳定域的经典‘Arnold’舌状图。我们还预测了描述量子频率转换过程的二能级模型中共振离域的新区域。
The existing widely-accepted theory of photon-pair generation via spontaneous down-conversion (SPDC) in nonlinear optical crystals and waveguides is incomplete, as it fails to account for the important physical phenomenon of parametric resonances. We demonstrate that exponential gain of classical fields in the regime of parametric resonance corresponds to resonant delocalisation in the Glauber–Fock model of quantum SPDC. We propose a quantitative measure of localisation of Floquet eigen-modes as an analogue of classical gain to identify regimes of resonant delocalisation. Using this method, we are able to reconstruct the classical ‘Arnold tongues’ map of domains of instabilities for SPDC. We also predict novel regimes of resonant delocalisation in the two-level model describing quantum frequency conversion processes.