Nonlinear dynamics of antihydrogen in magnetostatic traps: implications for gravitational measurements

TL;DR

This paper investigates how gravity affects antihydrogen behavior in magnetic traps, analyzing measurement techniques and highlighting the role of stochasticity in experimental setups for gravitational studies.

Contribution

It provides a theoretical and numerical analysis of antihydrogen dynamics under gravity, emphasizing the importance of stochastic effects in trap-based measurements.

Findings

Stochasticity significantly impacts antihydrogen trajectories in vertical traps.

Different measurement techniques have distinct advantages and disadvantages.

Numerical simulations support the importance of gravity and stochastic effects in experiments.

Abstract

The influence of gravity on antihydrogen dynamics in magnetic traps is studied. The advantages and disadvantages of various techniques for measuring the ratio of the gravitational mass to the inertial mass of antihydrogen are discussed. Theoretical considerations and numerical simulations indicate that stochasticity may be especially important for some experimental techniques in vertically oriented traps.