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arXiv 1111.1616quant-ph
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非线性层状结构中纠缠光子对的空间特性

Spatial properties of entangled photon pairs generated in nonlinear layered structures

Jan Perina

摘要:

将相互作用矢量场展开为单色平面波,建立了非线性层状结构中自发参量下转换的空间量子模型。取决于信号和空闲场的频率和传播方向的双光子光谱振幅被用来导出发射场的横向分布以及它们的空间相关性。强度空间分布及其空间相关性主要取决于这些光子带结构中形成的透射峰的位置。提出了一种考虑非线性过程效率的结构几何优化方法。作为典型的例子,分析了几种由GAN/AlN层组成的结构。它们允许产生在几个发射方向上相关的光子对。光子对产生率的增加优于层数的二次幂。还可以获得显示出反聚束和反聚结的有效地产生光子对的结构。揭示了光子带隙结构中关联区分裂的三个原因:光子在结构中的锯齿形运动、空间对称性和偏振相关特性。在这些结构中也可以观察到光谱分裂。

英文摘要:

A spatial quantum model of spontaneous parametric down-conversion in nonlinear layered structures is developed expanding the interacting vectorial fields into monochromatic plane waves. A two-photon spectral amplitude depending on the signal- and idler-field frequencies and propagation directions is used to derive transverse profiles of the emitted fields as well as their spatial correlations. Intensity spatial profiles and their spatial correlations are mainly determined by the positions of transmission peaks formed in these structures with photonic bands. A method for geometry optimization of the structures with respect to efficiency of the nonlinear process is suggested. Several structures composed of GaN/AlN layers are analyzed as typical examples. They allow the generation of photon pairs correlated in several emission directions. Photon-pair generation rates increasing better than the second power of the number of layers can be reached. Also structures efficiently generated photon pairs showing anti-bunching and anti-coalescence can be obtained. Three reasons for splitting the correlated area in photonic-band-gap structures are revealed: zig-zag movement of photons inside the structure, spatial symmetry and polarization-dependent properties. Also spectral splitting can be observed in these structures.

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。

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