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2020

Zilch Vortical Effect, Berry Phase, and Kinetic Theory

Huang, Xu-Guang, Mitkin, Pavel, Sadofyev, Andrey V. et al.

Understand

Rotating photon gas exhibits a chirality separation along the angular velocity which is manifested through a generation of helicity and zilch currents.

In this paper we study this system using the corresponding Wigner function and construct elements of the covariant chiral kinetic theory for photons from first principles.
The Wigner function is solved order-by-order in $\hbar$ and the unconstrained terms are fixed by matching with quantum field theory results.
We further consider the zilch and helicity currents and show that both manifestations of the chirality transport originate in the Berry phase of photons similarly to other chiral effects.