Behaviors and high-order harmonic generation for short-range model potential in the intense laser field by using the symplectic algorithm*

The asymptotic boundary condition to solve the time-dependent Schrodinger equation for a short-range model potential in an intense laser field is presented. The condition is obtained by means of the asymptotic behavior of the short-range model potential in the sufficiently large distance and Fourier transformation, and then the time-dependent Schrodinger equation is discretized into an inhomogeneous linear canonical equation. The inhomogeneous linear canonical equation is solved using the symplectic algorithm. The calculated wavefunctions, time-evolution of the population on the bound state, and the high-order harmonic generation verify that our numerical method is reasonable and effective.