Adiabatic Fidelity for Atom-Molecule Conversion in a Nonlinear Three-Level Λ-system

Abstract

We investigate the dynamics of the population transfer for atom-molecule three-level $\Lambda$-system on stimulated Raman adiabatic passage(STIRAP). We find that the adiabatic fidelity for the coherent population trapping(CPT) state or dark state, as the function of the adiabatic parameter, approaches to unit in a power law. The power exponent however is much less than the prediction of linear adiabatic theorem. We further discuss how to achieve higher adiabatic fidelity for the dark state through optimizing the external parameters of STIRAP. Our discussions are helpful to gain higher atom-molecule conversion yield in practical experiments.

4 pages, 5 figures

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• Berry Phase in Atom-Molecule Conversion Systems and Fractional Monopole
• Quantum phase transition in a three-level atom-molecule system
• Interaction-induced instability and chaos in the photoassociative stimulated Raman adiabatic passage from atomic to molecular Bose-Einstein condensates
• Hierarchical Theory of Quantum Adiabatic Evolution
• Stability of linear and non-linear lambda and tripod systems in the presence of amplitude damping