Coherent dynamics of radiating atomic systems in pseudospin representation

TL;DR

This review introduces a unified pseudospin-based approach to describe the full radiation dynamics of atomic and spin systems, including quantum stages and various coherent phenomena such as superradiance and photon filamentation.

Contribution

It presents a novel, unified mathematical framework using pseudospin representation applicable to all stages of radiation dynamics in atomic and spin systems.

Findings

Characterization of different superradiance types

Description of triggering dipolar waves and photon filamentation

Analysis of pseudospin atomic squeezing and entanglement production

Abstract

The aim of this review is twofold. First, a general approach is presented allowing for a unified description of dynamics in radiating systems of different nature. Both atomic systems as well as spin assemblies can be treated in the frame of the same mathematical method based on pseudospin (or spin) representation of evolution equations. The approach is applicable to all stages of radiation dynamics, including the most difficult initial quantum stage, where coherence is not yet developed. This makes it possible to study the process of coherent self-organization from the chaotic quantum stage. Second, the approach is illustrated by applying it for the description of several coherent phenomena. Different types of superradiance are characterized: pure superradiance, triggered superradiance, pulsing and punctuated superradiance. The theory is presented of such interesting effects as triggering dipolar waves, turbulent photon filamentation, collective liberation of light, pseudospin atomic squeezing, and operator entanglement production.