Integrability, Stability, and Adiabaticity in Nonlinear Stimulated Raman Adiabatic Passage (Phys. Rev. Lett.) - A.P. Itin et al.

Phys. Rev. Lett. 99, 223903 (2007)

Integrability, Stability, and Adiabaticity in Nonlinear Stimulated Raman Adiabatic Passage

A. P. Itin1,2 and S. Watanabe1
1University of Electro-Communications, 1-5-1, Chofu-ga-oka, Chofu-shi, Tokyo 182-8585, Japan
2Space Research Institute, RAS, Profsoyuznaya str. 84/32, 117997 Moscow, Russia
(Received 22 March 2007; published 28 November 2007)


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.

©2007 The American Physical Society
URL: http://link.aps.org/abstract/PRL/v99/e223903
doi:10.1103/PhysRevLett.99.223903
PACS: 42.65.Dr, 02.30.Hq, 03.75.Mn, 05.30.Jp