Integrability, stability, and adiabaticity in nonlinear stimulated Raman adiabatic passage

TL;DR

This paper investigates the dynamics of nonlinear STIRAP in atom-molecule photoassociation, revealing nonlinear instabilities, integrability cases, and improved adiabaticity conditions using classical Hamiltonian methods.

Contribution

It introduces a novel approach applying classical Hamiltonian dynamics to analyze nonlinear STIRAP, enhancing understanding of stability and adiabaticity in such systems.

Findings

Identified nonlinear dynamical instabilities.

Discovered cases of complete integrability.

Derived improved conditions for adiabaticity.

Abstract

We study dynamics of a two-color photoassociation of atoms into diatomic molecules via nonlinear Stimulated Raman adiabatic passage (STIRAP) process. This system has a famous counterpart in (linear) quantum mechanics, and been discussed recently in the context of generalizing quantum adiabatic theorem to nonlinear systems. Here we use another approach to study adiabaticity and stability in the system: we apply methods of classical Hamiltonian dynamics. We found nonlinear dynamical instabilities, cases of complete integrability, and improved conditions of adiabaticity.