Molecular excited state in the interaction quench dynamics of two different atoms in a two-dimensional anisotropic trap

We explore the interaction quench dynamics of two atoms with different masses and subject to different trapping potentials. Notably, under such anisotropic conditions, the nonequilibrium dynamics can lead to the occupation of molecular excited states. We consider cases of quenching from attractive to repulsive interaction and vice versa, analyzing the impact of the pre- and postquench states. The analysis of overlap integrals for the both states reveals a significant contribution from the molecular excited state. Moreover, the overlap with the prequench states might serve as an indicator of when this excited state may emerge. Additionally, we calculate the energy spectrum for the lowest levels in the both isotropic and anisotropic harmonic traps. Throughout our study, we use a Gaussian-shaped finite-range interaction potential.