Complete Rabi oscillations in the ion-laser interaction

TL;DR

This paper analytically investigates the full Rabi oscillations of a trapped ion interacting with a laser, considering specific initial states without approximations, revealing detailed dynamical behavior.

Contribution

It provides exact analytical solutions for ion-laser dynamics with particular initial states, extending understanding beyond typical approximations.

Findings

Demonstrates complete Rabi oscillations for certain initial states

Provides conditions on physical parameters for system evolution

Achieves analytical results without approximations

Abstract

We present the dynamics of a single harmonically trapped ion interacting with a laser, considering a linear combination of two eigenstates of the system as the initial state. The conditions on the physical parameters that allow for the evolution of the system are discussed. We are able to obtain analytical results even though no approximations are realized and are able to show Rabi oscillations for such initial states.