Detailed analysis of two simplified Rydberg dressed atoms confined in a harmonic trap

Abstract

By using a step-like potential it is possible to mimic the Rydberg short range part of the interaction between two atoms. It is possible in this case to establish an analytical solution of the Schrodinger equation. In this contribution we are analyzing in detail this simplified model by highlighting the major players in different interaction schemes (different strengths and ranges), different dimensionalities and the impact on spatial correlation. We are able to achieve an improvement to this model by applying a perturbation treatment to the potential. The dynamical aspects related to a sudden change of the potential features are also investigated.