The dynamics of a single trapped ion in a high density media: a stochastic approach

In this work, we use a stochastic formulation, based on the Langevin and generalized Langevin equation, to describe the dynamics of a trapped ion surrounded by a cloud of ultracold atoms and in the presence of micromotion excess. This formulation allows us to explore the ion's dynamical aspects and the ion's sympathetic cooling by the atomic bath. Furthermore, stochastic force modeling using different noises enables us to explore the role of bath correlations in ion dynamics. Finally, our results bring a new perspective and novel insights with respect to traditional simulations based on hard-sphere molecular dynamics.