Related Experiment Video
Updated: Jul 7, 2026

Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators
Published on: April 4, 2016
Integrability, stability, and adiabaticity in nonlinear stimulated Raman adiabatic passage
1University of Electro-Communications, 1-5-1, Chofu-ga-oka, Chofu-shi, Tokyo 182-8585, Japan.
Abstract:
We study the dynamics of a two-color photoassociation of atoms into diatomic molecules via nonlinear stimulated Raman adiabatic passage process. The system has a famous counterpart in (linear) quantum mechanics, and has been discussed recently in the context of generalizing the 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 find nonlinear dynamical instabilities, cases of complete integrability, and improved conditions of adiabaticity.
Related Concept Videos
Adiabatic Processes for an Ideal Gas
Pressure and Volume in an Adiabatic Process
Work Done in an Adiabatic Process
Stability
The stability of an LTI system is determined by the roots of its characteristic equation, known as poles. A system is stable if it produces a bounded...
The Joule and Joule–Thomson Experiments
Linear Approximation in Frequency Domain
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear.

