  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.
