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Spin Hall effect of Photons in a Static Gravitational Field
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Spin Hall effect of Photons in a Static Gravitational Field
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Starting from a Hamiltonian description of the photon within the set of Bargmann-Wigner equations we derive new semiclassical equations of motion for the photon propagating in static gravitational field. These equations which are obtained in the representation diagonalizing the Hamiltonian at the order $\hbar $, present the first order corrections to the geometrical optics. The photon Hamiltonian shows a new kind of helicity-magnetotorsion coupling. However, even for a torsionless space-time, photons do not follow the usual null geodesic as a consequence of an anomalous velocity term. This term is responsible for the gravitational birefringence phenomenon: photons with distinct helicity follow different geodesics in a static gravitational field.
Forward citations
Cited by 2 Pith papers
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Quantum Metric and Nonlinear Hall Effect of Photons
Photons possess a quantum metric in momentum space that induces a nonlinear Hall effect for light in inhomogeneous media and nonlinear corrections to gravitational lensing from the interplay of position and momentum s...
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Spinoptics in the presence of axion-like particles in curved spacetime
Spinoptics equations for axion–Maxwell theory yield helicity-dependent photon trajectory corrections from both spacetime curvature and arbitrary axion profiles.
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