Collective Light Emission of a Finite Size Atomic Chain

TL;DR

This paper investigates the radiative properties and emission patterns of finite one-dimensional atomic chains, emphasizing how chain size and lattice constant influence collective electronic state damping rates.

Contribution

It provides a detailed analysis of radiative corrections and damping rates in finite atomic chains, including the derivation of the symmetric state damping rate as a function of atom number.

Findings

Damping rates depend on chain size and lattice constant.

Symmetric state damping rate derived as a function of atom number.

Emission pattern of finite chains characterized.

Abstract

Radiative properties of collective electronic states in a one dimensional atomic chain are investigated. Radiative corrections are included with emphasize put on the effect of the chain size through the dependence on both the number of atoms and the lattice constant. The damping rates of collective states are calculated in considering radiative effects for different values of the lattice constant relative to the atomic transition wave length. Especially the symmetric state damping rate as a function of the number of the atoms is derived. The emission pattern off a finite linear chain is also presented. The results can be adopted for any chain of active material, e.g., a chain of semiconductor quantum dots or organic molecules on a linear matrix.