Multiple mobility edges in quasi-periodic mosaic lattices revisited: A numerical study based on time-dependent reflection

The dynamics of a short wave packet in one-dimensional quasi-periodic lattices withmosaic modulated on-site potentials is investigated numerically. This model is characterized bythe modulation period $\kappa$ and the quasi-periodic potential strength $\lambda$. For parabolic wave packetswith a given central energy $E_{0}$, we calculate the averaged time-dependent reflectance, $\langle R(t) \rangle$, forvarious values of $\kappa$ and $\lambda$. From the extensive numerical calculations, we show that there existmultiple mobility edges in such a model with the number of mobility edges is always equal to $2(\kappa-1)$.