Spectral element time-domain method simulation of the Maxwell-Schrödinger system

A scheme of designing laser pulses for controlling discrete quantum states has been proposed in the reference [1]. In this paper, the Time-Domain Spectral Element (SETD) method is used to solving the Maxwell-Schrödinger coupling equation system for 3D-1D physical problem. In order to facilitate the solution of this coupling process, the Hamiltonian by applying the length gauge is used here. The accuracy of the simulation results are demonstrated by the comparison with the reference [1].