Stable Trapping of Multielectron Helium Bubbles in a Paul Trap

In a recent experiment, we have used a linear Paul trap to store and study multielectron bubbles (MEBs) in liquid helium.MEBs have a charge-to-mass ratio (between 10^-4 and 10⁻²C/kg) which is several orders of magnitude smaller than ions (between 10⁶ and 10⁸ C/kg)  studied in traditional ion traps. In addition, MEBs experience significant drag force while moving through the liquid. As a result, the experimental parameters for stable trapping of MEBs, such as magnitude and frequency of the applied electric fields, are very different from those used in typical ion trap experiments. The purpose of this paper is to model the motion of MEBs inside a linear Paul trap in liquid helium, determine the range of working parameters of the trap, and compare the results with experiments.