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

TL;DR

This paper presents a stochastic model based on the Langevin equation to analyze the energy dynamics of a trapped ion immersed in ultracold atomic media, incorporating micromotion effects and comparing with Monte Carlo simulations.

Contribution

It introduces a hybrid analytical-numerical stochastic approach to describe ion dynamics in a thermal bath, including micromotion and noise effects, advancing understanding of sympathetic cooling.

Findings

Derived ion energy evolution and distribution during cooling.

Analyzed impact of stochastic noise on energy transfer.

Validated results against Monte Carlo simulations.

Abstract

Based on the Langevin equation, a stochastic formulation is implemented to describe the dynamics of a trapped ion in a bath of ultracold atoms, including an excess of micromotion. The ion dynamics is described following a hybrid analytical-numerical approach in which the ion is treated as a classical impurity in a thermal bath. As a result, the ion energy's time evolution and distribution are derived from studying the sympathetic cooling process. Furthermore, the ion dynamics under different stochastic noise terms is also considered to gain information on the bath properties' role in the system's energy transfer processes. Finally, the results obtained from this formulation are contrasted with those obtained with a more traditional Monte Carlo approach.