Wavepacket golden rule treatment of interparticle Coulombic decay in paired quantum dots

The interparticle Coulombic decay process in paired quantum dots is studied by electron dynamics calculations. We consider a pair of Coulomb coupled one electron charged gallium arsenide quantum dots embedded in a nanowire. The two electron decay process is approximately described by a single active electron model. Within this model, we employ the time dependent wavepacket approach to the Fermi golden rule introduced in the context of vibrational predissociation to calculate autoionization rates, which are compared to exact rates obtained from fully correlated two electron dynamics calculations. We found that the approximate decay rates agree well with the exact results in the limit of sufficiently separated quantum dots. Finally, we explore whether the short range behavior of the new model can be further enhanced by the inclusion of local exchange effects by means of regularization of the Coulomb potential based on a Jastrow Slater wavefunction. The proposed method may open a route to study the interparticle Coulombic decay in more intricate systems, e.g., paired metal nanoparticle quantum dot systems