(a) Flowchart of rt-TDDFT approach for evolution of coupled electronic and ionic systems. Here, we assume that the two subsystems have the same evolution time step (~10 attosecond). (b) The scheme of quantum electronic and nuclear dynamic evolution. Upon the photoexcitation, electrons are excited from the ground-state potential energy surface (PES) (S0) and ions move on an excited PES (S1). (c) Real-space picture for solid-state HHG.