Overdamped dynamics of a Brownian particle levitated in a Paul trap

Abstract

We study the dynamics of the center of mass of a Brownian particle levitated in a Paul trap. We focus on the overdamped regime in the context of levitodynamics, comparing theory with our numerical simulations and experimental data from a nanoparticle in a Paul trap. We provide an exact analytical solution to the stochastic equation of motion, expressions for the standard deviation of the motion, and thermalization times by using the WKB method under two different limits. Finally, we prove the power spectral density of the motion can be approximated by that of an Ornstein-Uhlenbeck process and use the found expression to calibrate the motion of a trapped particle.

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Cited by in corpus (4)

• Extending vacuum trapping to absorbing objects with hybrid Paul-optical traps
• The physics and applications of strongly coupled plasmas levitated in electrodynamic traps
• Investigations on Dynamical Stability in 3D Quadrupole Ion Traps
• On the Convergence of WKB Approximations of the Damped Mathieu Equation