The shape of the CAP is described by Eq. ( ) with various values of the turn-on radius r 0 , in a range from 4.0-18.5 bohr. The curvature parameter η is tested within a range 0.4-4.0 Ha/bohr 2 . The time propagation algorithm is described in Section II B and the time step is ∆t = 0.1 a.u.. In performing the Fourier transform that is indicated in Eq. ( ), a Hann window function, w(t) = sin 2 [πt/(t fin -t ini )], is applied to the time series of µ(t) data.