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.

arXiv comment29 pages; v2: minor changes, to appear in Annals of Physics

References in corpus (33)

• Weyl and Dirac Semimetals in Three Dimensional Solids
• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• Extremely high-intensity laser interactions with fundamental quantum systems
• Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
• Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
• Observation of the chiral magnetic effect in ZrTe5
• Floquet Engineering of Quantum Materials
• High-frequency approximation for periodically driven quantum systems from a Floquet-space perspective
• Charge separation induced by P-odd bubbles in QCD matter
• The Chiral Magnetic Effect and Anomaly-Induced Transport
• Chiral Kinetic Theory
• Advances in QED with intense background fields
• Dynamically assisted Schwinger mechanism
• Kinetic theory with Berry curvature from quantum field theories
• Effective Hamiltonians for periodically driven systems
• Catalysis of Schwinger Vacuum Pair Production
• Real-time dynamics of the Chiral Magnetic Effect
• Barrier control in tunneling e^+ e^- photoproduction
• Generalized Bloch theorem and chiral transport phenomena
• Experimental searches for the chiral magnetic effect in heavy-ion collisions
• The intensity dependent mass shift: existence, universality and detection
• Exact WKB analysis of the vacuum pair production by time-dependent electric fields
• Axial Ward identity and the Schwinger mechanism -- Applications to the real-time chiral magnetic effect and condensates
• Dynamics of the Chiral Magnetic Effect in a weak magnetic field
• Franz-Keldysh effect in strong-field QED
• Quark pair creation in color electric fields and effects of magnetic fields
• Chirality Production with Mass Effects-Schwinger Pair Production and the Axial Ward Identity
• Signatures of the Schwinger mechanism assisted by a fast-oscillating electric field
• Finite pulse effects on $e^{+}{e}^{-}$ pair creation from strong electric fields
• Spatially Assisted Schwinger Mechanism and Magnetic Catalysis
• High-frequency Expansion for Floquet Prethermal Phases with Emergent Symmetries: Application to Time Crystals and Floquet Engineering
• Mode Decomposed Chiral Magnetic Effect and Rotating Fermions
• 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