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arXiv 1804.09013physics.optics
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光的反常几何自旋霍尔效应?

Anomalous Geometric Spin Hall Effect of Light?

Zhen-Lai Wang, Xiang-Song Chen

摘要:

光的几何自旋霍尔效应(GSHEL)与光的自旋霍尔效应类似,也是光束强度(能流)的质心的自旋相关移位,但它是不依赖于特定光-物质相互作用的纯几何效应。本文用动量代替能流来讨论GSHEL,发现在能量-动量张量对称的情况下,动量流质心的位移是能流质心位移的两倍。有趣的是,对于正则能量动量张量,动量通量的质心移动与能量通量的质心移动一致。然而,如果我们考虑轨道角动量的影响,对于两个能量动量张量,动量通量的质心位移是能量通量的两倍。为了区分哪种光场的能量动量张量更“正确”,我们提出了一个通过光的力学效应来检验动量通量的GSHEL的实验方案。

英文摘要:

The geometric spin Hall effect of light (GSHEL), similar to the spin Hall effect of light, is also a spin-dependent shift of the centroid of light beam's intensity (energy flux), but it is a purely geometric effect that does not depend on a particular light-matter interaction. In this paper, we discuss the GSHEL with respect to momentum instead of energy flux, and find out that in the case of the symmetric energy-momentum tensor, the shift of the centroid of momentum flux is double that of energy flux. Interestingly, for the canonical energy-momentum tensor, the centroid shift of momentum flux agrees with that of energy flux. If we consider the effect of orbital angular momentum, however, the centroid displacement of momentum flux is twice that of energy flux for both energy-momentum tensors. To tell which energy-momentum tensor of light field would be more "correct", we propose a experimental scheme to test the GSHEL of momentum flux through the mechanical effect of light.

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