弯曲时空中光子自旋霍尔效应的量子动力学理论
Photonic spin Hall effect from quantum kinetic theory in curved spacetime
摘要：
基于量子场论，我们建立了弯曲时空中极化光子的Wigner函数和量子动力学理论。从这个框架，光子手征/zilch涡效应再现在一个刚性旋转坐标。在空间非均匀坐标系中，我们导出了平衡态光子螺旋度流和能流的自旋霍尔效应。我们的推导揭示了这种光子霍尔效应与光子涡旋效应通过洛伦兹不变性联系在一起，并且它们的输运系数是相互匹配的。
英文摘要：
Based on quantum field theory, we formulate the Wigner function and quantum kinetic theory for polarized photons in curved spacetimes which admit a covariantly constant timelike vector. From this framework, the photonic chiral/zilch vortical effects are reproduced in a rigidly rotating coordinate. In a spatially inhomogeneous coordinate, we derive the spin Hall effect for the photon helicity current and energy current in equilibrium. Our derivation reveals that such photonic Hall effect are related to the photonic vortical effect via the Lorentz invariance and their transport coefficients match each other.
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