  From the viewpoint of AdS/CFT correspondence, we investigate the holographic
thermalization process in a four dimensional Einstein-Maxwell-axions gravity
theory, which is considered as a simple bulk theory dual to a boundary theory
with momentum relaxation. We probe the thermalization process using the equal
time two-point functions and the entanglement entropy with the circle profile.
We analyze the effects of momentum relaxation on the process in details and
results show that the momentum relaxation gives longer thermalization time,
which means it suppresses the holographic thermalization process. This matches
the properties of the quasi-normal frequencies for the bulk fluctuations which
the frequency violates from zero mode more profoundly for stronger momentum
relaxation. We claim that is reasonable because the decay of the bulk
fluctuations holographically describes the approach to thermal equilibrium in
the dual theory.
