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arXiv quant-ph/0312088quant-ph
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光参量下转换中高横向纠缠的分析与解释

Analysis and interpretation of high transverse entanglement in optical parametric down conversion

C. K. Law, J. H. Eberly

摘要:

基于Schmidt分解方法研究了下转换光子横波矢量的量子纠缠。我们发现,横向纠缠涉及两个变量:轨道角动量和横向频率。我们表明,在单色限制高值的纠缠密切控制由一个单一的参数(横向)动量守恒和纵向相位匹配之间的竞争。我们研究了施密特本征模的特点,并指出如何纠缠可以通过适当的模式选择方法增强。

英文摘要:

Quantum entanglement associated with transverse wave vectors of down conversion photons is investigated based on the Schmidt decomposition method. We show that transverse entanglement involves two variables: orbital angular momentum and transverse frequency. We show that in the monochromatic limit high values of entanglement are closely controlled by a single parameter resulting from the competition between (transverse) momentum conservation and longitudinal phase matching. We examine the features of the Schmidt eigenmodes, and indicate how entanglement can be enhanced by suitable mode selection methods.

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