Time-domain simulation of two electrons in a quantum dot

Abstract

A time-domain simulation method is presented that utilizes the Hartree–Fock formulation to characterize two particles in a quantum dot. The basis of the simulation is the finite-difference time-domain method. The computation is made tractable by formulating the Coulomb and exchange terms as digital filtering problems, and utilizing two-dimensional fast Fourier transforms. Two-electron wave packet dynamics are calculated.