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

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.

Presented on QUAMP-4 conference (UCL, London); 4 pages; bibliography is slightly extended as compared to a version published in PRL

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Cited by in corpus (20)

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• The effect of nonlinearity on adiabatic evolution of light
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• Adiabatic Fidelity for Atom-Molecule Conversion in a Nonlinear Three-Level Λ-system
• Coherent tunneling via adiabatic passage in a three-well Bose-Hubbard system
• Berry Phase in Atom-Molecule Conversion Systems and Fractional Monopole
• Robust Control of Unstable Non-linear Quantum Systems
• Microwave-stimulated Raman adiabatic passage in a Bose-Einstein condensate on an atom chip
• Fast-forward scaling of atom-molecule conversion in Bose-Einstein condensates
• Interferometry using Adiabatic Passage in Dilute Gas Bose-Einstein Condensates
• Quasi-energies, parametric resonances, and stability limits in ac-driven $\mathcal{P}\mathcal{T}$-symmetric systems
• Semiclassical Spectrum of Small Bose-Hubbard Chains: A Normal Form Approach
• Adiabatic tracking for photo- and magneto-association of Bose-Einstein condensates with Kerr nonlinearities
• Optimal control and ultimate bounds of 1:2 nonlinear quantum systems
• Particle-Localized Ground State of Atom-Molecule Bose-Einstein Condensates in a Double-Well Potential
• Hierarchical Theory of Quantum Adiabatic Evolution
• Dynamical quantum phase transition of a two-component Bose-Einstein condensate in an optical lattice
• Stability, Adiabaticity and Transfer efficiency in a nonlinear Λ-system
• Stability of linear and non-linear lambda and tripod systems in the presence of amplitude damping