Holographic quenches and anomalous transport

Abstract

We study the response of the chiral magnetic effect due to continuous quenches induced by time dependent electric fields within holography. Concretely, we consider a holographic model with dual chiral anomaly and compute the electric current parallel to a constant, homogeneous magnetic field and a time dependent electric field in the probe approximation. We explicitly solve the PDEs by means of pseudospectral methods in spatial and time directions and study the transition to an universal "fast" quench response. Moreover, we compute the amplitudes, i.e.,~residues of the quasi normal modes, by solving the (ODE) Laplace transformed equations. We investigate the possibility of considering the asymptotic growth rate of the amplitudes as a well defined notion of initial time scale for linearized systems. Finally, we highlight the existence of Landau level resonances in the electrical conductivity parallel to a magnetic field at finite frequency and show explicitly that these only appear in presence of the anomaly. We show that the existence of these resonances induces, among others, a long-lived AC electric current once the electric field is switched off.

34 pages, 10 figures

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• Chiral Magnetic Wave
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• Direct observation of Landau level resonance and mass generation in Dirac semimetal Cd3As2 thin films
• Pseudo-spectral construction of non-uniform black string solutions in five and six spacetime dimensions
• Phase diagram of 4D field theories with chiral anomaly from holography
• Anomalous Transport in Holographic Chiral Superfluids via Kubo Formulae
• Quasinormal mode expansion and the exact solution of the Cauchy problem for wave equations
• First experience with classical-statistical real-time simulations of anomalous transport with overlap fermions

Cited by in corpus (42)

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• Magnetophonons & type-B Goldstones from Hydrodynamics to Holography
• Constraints on quasinormal modes and bounds for critical points from pole-skipping
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• Longitudinal Sound and Diffusion in Holographic Massive Gravity
• A Holographic Superfluid Symphony
• Quasi-normal modes of dyonic black holes and magneto-hydrodynamics
• Is the Chiral Magnetic Effect fast enough?
• Hyperboloidal Approach to Quasinormal Modes
• On the Hydrodynamic Description of Holographic Viscoelastic Models
• Nonlinear Oscillatory Shear Tests in Viscoelastic Holography
• Correlations far from equilibrium in charged strongly coupled fluids subjected to a strong magnetic field
• Shear flows in far-from-equilibrium strongly coupled fluids
• An improved holographic nodal line semimetal
• Quenching the CME via the gravitational anomaly and holography
• Chiral magnetic response to arbitrary axial imbalance
• Out of equilibrium chiral magnetic effect and momentum relaxation in holography
• Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach
• Anomalous transport from holography: Part II
• Entropy production far from equilibrium in a chiral charged plasma in the presence of external electromagnetic fields
• Probing anomalous driving
• Higher-form symmetries, anomalous magnetohydrodynamics, and holography
• Spacetime dynamics of chiral magnetic currents in a hot non-Abelian plasma
• Real-time dynamics of axial charge and chiral magnetic current in a non-Abelian expanding plasma
• Chiral transport in strong fields from holography
• Second order equilibrium transport in strongly coupled $\mathcal{N}=4$ supersymmetric $SU(N_c)$ Yang-Mills plasma via holography
• Spectral methods for the spin-2 equation near the cylinder at spatial infinity
• Out of equilibrium Chiral Vortical Effect in Holography
• Non-equilibrium dynamics in Holography
• Far from equilibrium Chiral Magnetic Effect in Strong Magnetic Fields from Holography
• Strongly interacting matter in extreme magnetic fields
• Critical and near-critical relaxation of holographic superfluids
• First experience with classical-statistical real-time simulations of anomalous transport with overlap fermions
• Nonequilibrium steady states in driven holographic Weyl semi-metals
• Fundamental Landau Levels in a Strongly Coupled Plasma