  Under holographic prescription for Schwinger-Keldysh closed time contour for
non-equilibrium system, we consider fluctuation effect of the order parameter
in a holographic superconductor model. Near the critical point, we derive the
time-dependent Ginzburg-Landau effective action governing dynamics of the
fluctuating order parameter. In a semi-analytical approach, the time-dependent
Ginzburg-Landau action is computed up to quartic order of the fluctuating order
parameter, and first order in time derivative.
