Manipulation of quantum particles in rapidly oscillating potentials by inducing phase hops

TL;DR

This paper demonstrates that quantum particles in rapidly oscillating potentials can have their mean-motion significantly manipulated through phase hops, with theoretical predictions confirmed by numerical simulations.

Contribution

It introduces a novel method of controlling quantum particles by inducing phase hops in oscillating potentials, supported by analytical and numerical analysis.

Findings

Phase hops can significantly alter quantum particle mean-motion.

Multiple phase hops can have cumulative effects.

Numerical simulations confirm theoretical predictions.

Abstract

Analytical calculations show that the mean-motion of a quantum particle trapped by a rapidly oscillating potential can be significantly manipulated by inducing phase hops, i.e., by instantaneously changing the potential's phase. A phase hop can be visualized as being the result of a collision with an imaginary particle which can be controlled. Several phase hops can have accumulating effects on the particle's mean-motion, even if they transform the particle's Hamiltonian into its initial one. The theoretical predictions are verified by numerical simulations for the one-dimensional Paul-trap.