Optical Properties of Rydberg Excitons and Polaritons

TL;DR

This paper develops an analytical framework using the Real Density Matrix Approach to compute optical functions of Rydberg excitons and polaritons, accounting for coherence effects, and validates results with experimental data.

Contribution

It introduces a method combining RDMA and Green's functions to analytically derive optical properties of Rydberg excitons, including coherence effects.

Findings

Analytical expressions for optical functions derived.

Coherence effects influence line shape and resonance.

Good agreement with experimental data.

Abstract

We show how to compute the optical functions when Rydberg Excitons appear, including the effect of the coherence between the electron-hole pair and the electromagnetic field. We use the Real Density Matrix Approach (RDMA), which, combined with Green's function method, enables one to derive analytical expressions for the optical functions. Choosing the susceptibility, we performed numerical calculations appropriate to a Cu$_2$0 crystal. The effect of the coherence is displayed in the line shape. We also examine in details and explain the dependence of the oscillator strength and the resonance placement on the state number. We report a good agreement with recently published experimental data.