The dynamics of a single trapped ion in a dense media: A stochastic approach

The realization of cold hybrid atom-ion systems has revolutionized the field of atomic,

molecular, and optical physics, leading to new ways of studying impurity physics ,

atom-ion collisions, and quantum information sciences. Additionally, it is a

representative platform for novel advances in ultracold chemistry. Usually, the

dynamics and thermal properties of the system are theoretically studied by

implementing Molecular Dynamics simulations. Given the high number of degrees of

freedom, it is also useful to address the problem using a stochastic approach that

encodes the thermal bath fluctuations in mean field stochastic forces. In this talk, we

present the results describing the physical properties and dynamical evolution of a cold

hybrid atom-ion system using a stochastic equation of motion formulation. We extended

our description from the usual quadrupolar traps to multipolar cases and traced the

criteria for the experimental realization of these systems.