Adiabatic Fidelity of Coherent Atom-Heteronuclear Molecule Conversion

We study the adiabatic dark-state evolutions in coherent creations of heteronuclear diatomic or triatomic molecules from an ultracold two-species atomic condensate. We find that, for different nonlinear systems, the relations between the adiabatic fidelities and the adiabatic parameters are in a universal power law but with quite different parameters.