Linear and Non-linear Rabi Oscillations of a Two-Level System Resonantly Coupled to an Anderson-Localized Mode

TL;DR

This paper investigates how a collection of emitters resonantly coupled to an Anderson-localized mode exhibits both linear and non-linear Rabi oscillations, with a transition explained by an analytical model.

Contribution

The study introduces a numerical and analytical framework to understand the transition from linear to non-linear Rabi oscillations in a 2D scattering system.

Findings

Linear Rabi oscillations observed at low field intensities.

Non-linear Rabi oscillations induced by higher intensities.

An analytical model accurately describes the transition between regimes.

Abstract

We use time-domain numerical simulations of a two-dimensional (2D) scattering system to study the interaction of a collection of emitters resonantly coupled to an Anderson-localized mode. For a small electric field intensity, we observe the strong coupling between the emitters and the mode, which is characterized by linear Rabi oscillations. Remarkably, a larger intensity induces non-linear interaction between the emitters and the mode, referred to as the dynamical Stark effect, resulting in non-linear Rabi oscillations. The transition between both regimes is observed and an analytical model is proposed which accurately describes our numerical observations.