Multiphoton quantum dynamics of many-electron atomic and molecular systems in intense laser fields**Project supported by the National Natural Science Foundation of China (Grant Nos. 11674268 and 11764038), the Natural Science Foundation of Guangdong Province, China (Grant No. 2020A1515010927), and Department of Education of Guangdong Province, China (Grant Nos. 2018KCXTD011 and 2019KTSCX037).

Abstract

We present the recent new developments of time-dependent Schrödinger equation and time-dependent density-functional theory for accurate and efficient treatment of the electronic structure and time-dependent quantum dynamics of many-electron atomic and molecular systems in intense laser fields. We extend time-dependent generalized pseudospectral (TDGPS) numerical method developed for time-dependent wave equations in multielectron systems. The TDGPS method allows us to obtain highly accurate time-dependent wave functions with the use of only a modest number of spatial grid point for complex quantum dynamical calculations. The usefulness of these procedures is illustrated by a few case studies of atomic and molecular processes of current interests in intense laser fields, including multiphoton ionization, above-threshold ionization, high-order harmonic generation, attosecond pulse generation, and quantum dynamical processes related to multielectron effects. We conclude this paper with some open questions and perspectives of multiphoton quantum dynamics of many-electron atomic and molecular systems in intense laser fields.