Chiral anomaly in a (1+1)-dimensional Floquet system under high-frequency electric fields

Abstract

We investigate the chiral anomaly in a Floquet system under a time-periodic electric field in (1+1) dimensions. Using the van~Vleck high-frequency expansion, we analytically calculate the chiral current and the pseudo-scalar condensate for massless/massive fermions and how they are balanced with the topological charge. In the high-frequency limit, we find that finite-mass effects are suppressed and the topological charge is dominated by the chirality production. Our calculations show that the information about the chiral anomaly is stored not in the static Floquet Hamiltonian but in the periodic kick operator. The computational steps are useful as the theoretical foundation for higher-dimensional generalization.

29 pages; v2: minor changes, to appear in Annals of Physics

References in corpus (6)

• Charge separation induced by P-odd bubbles in QCD matter
• Dynamically assisted Schwinger mechanism
• Barrier control in tunneling e^+ e^- photoproduction
• Experimental searches for the chiral magnetic effect in heavy-ion collisions
• Finite pulse effects on $e^{+}{e}^{-}$ pair creation from strong electric fields
• Chirality imbalance and chiral magnetic effect under a parallel electromagnetic field

Cited by in corpus (3)

• Evolution of chirality in a multiphoton pair production process
• On the inefficiency of fermion level-crossing under the parity-violating spin-2 gravitational field
• Study on axial fields in the dynamically assisted Schwinger effect