Gravitons show a helicity-dependent spin Hall effect from Berry curvature, producing an energy Hall current splitting exactly twice as large as the photon case.
Spin Hall effect of gravitational waves
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abstract
Gravitons possess a Berry curvature due to their helicity. We derive the semiclassical equations of motion for gravitons taking into account the Berry curvature. We show that this quantum correction leads to the splitting of the trajectories of right- and left-handed gravitational waves in curved space, and that this correction can be understood as a topological phenomenon. This is the spin Hall effect (SHE) of gravitational waves. We find that the SHE of gravitational waves is twice as large as that of light. Possible future observations of the SHE of gravitational waves can potentially test the quantum nature of gravitons beyond the classical general relativity.
fields
hep-th 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
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 space geometry.
citing papers explorer
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Spin Hall effect and Berry curvature of gravitons from quantum field theory
Gravitons show a helicity-dependent spin Hall effect from Berry curvature, producing an energy Hall current splitting exactly twice as large as the photon case.
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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 space geometry.