Chained Quantum Arnold Transformations

TL;DR

This paper introduces a method using chained Quantum Arnold Transformations to model the wave function evolution of a particle in a harmonic trap, simulating ion capture and release processes.

Contribution

It presents a novel concatenation technique of Quantum Arnold Transformations to analyze dynamic trapping scenarios in quantum systems.

Findings

Successfully models ion trapping and release processes.

Provides a mathematical framework for simulating trap dynamics.

Enhances understanding of quantum control in trapping systems.

Abstract

We put forward the concatenation of Quantum Arnold Transformations as a tool to obtain the wave function of a particle subjected to a harmonic potential which is switched on and off successively. This simulates the capture and release process of an ion in a trap and provides a mathematical picture of this physical process.