Dynamical instabilities of spectroscopic transitions in dense resonant media

TL;DR

This paper investigates how near dipole-dipole interactions affect the dynamics of dense resonant media, revealing bifurcations and population oscillations in V-type three-level atoms, but not in two-level systems.

Contribution

It demonstrates that dipole-dipole interactions induce dynamical instabilities and bifurcations in V-type three-level atoms, a phenomenon not present in two-level atom models.

Findings

Dipole-dipole interactions cause Poincaré-Andronov-Hopf bifurcations in V-type atoms.

Population oscillations occur due to these bifurcations.

Two-level atom models do not exhibit dynamical instabilities.

Abstract

We consider the influence of the near dipole-dipole interaction, underlying the local field, on the dynamics of two-level and V-type three-level atoms exposed to cw-laser radiation. The dipole-dipole interaction between the V-type three-level atoms is shown to give rise to the Poincar\'e-Andronov-Hopf bifurcation in steady-state solution of the equations of motion. As a result, the populations of the energy levels periodically vary in time. In the framework of the two-level model, dynamical instabilities are proved to be impossible.