d'Alembert-Schrödinger hybrid simulation for laser-induced multiquantum state transitions in a three-dimensional artificial atom.

In this Letter, a d'Alembert-Schrödinger hybrid method is proposed to analyze the transient interaction between the incident electromagnetic control pulse and the electron. This hybrid method is based on the d'Alembert equation, which describes the propagation of the electromagnetic field and the time-dependent Schrödinger equation, which describes the action of the electron. Moreover, the finite-difference time-domain method is used to solve those equations. In our simulation, using the presented hybrid equations and the control equation of the quantum state, a scheme is presented to design laser pulses to control discrete quantum states in a three-dimensional artificial atom model. Excitingly, the laser pulses have been successfully designed for the perfect four quantum states' transition for the first time. With that, the spatiotemporal distribution for the probability density of an electron wave packet is showed in detail to describe the laser-induced transition process of quantum states.