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arXiv quant-ph/9705023quant-ph
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托马斯旋转与偏振光:光学中的非阿贝尔几何相位

Thomas Rotation and Polarised Light: A non-Abelian Geometric Phase in Optics

Joseph Samuel, Supurna Sinha

摘要:

我们描述了一个非阿贝尔贝瑞相位偏振光学,建议类比由于Nityananda之间的提升在狭义相对论和椭圆二色性偏振光的影响。这个类比允许一个简单的光学实现的非阿贝尔规范场描述托马斯旋转。我们还展示了如何托马斯旋转可以理解几何上的庞加莱领域的Pancharatnam阶段。

英文摘要:

We describe a non-Abelian Berry phase in polarisation optics, suggested by an analogy due to Nityananda between boosts in special relativity and the effect of elliptic dichroism on polarised light. The analogy permits a simple optical realization of the non-Abelian gauge field describing Thomas rotation. We also show how Thomas rotation can be understood geometrically on the Poincaré sphere in terms of the Pancharatnam phase.

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