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 κ and the quasi-periodic potential strength λ. For parabolic wave packetswith a given central energy E₀, we calculate the averaged time-dependent reflectance, R(t), forvarious values of κ and λ. 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(κ-1).