  Non-adiabatic decay rates for a radio-frequency dressed magnetic trap are
calculated using Fermi's Golden Rule: that is, we examine the probability for a
single atom to make transitions out of the dressed trap and into a continuum in
the adiabatic limit, where perturbation theory can be applied. This approach
can be compared to the semi-classical Landau-Zener theory of a resonant dressed
atom trap, and it is found that, when carefully implemented, the Landau-Zener
theory overestimates the rate of non-adiabatic spin flip transitions in the
adiabatic limit. This indicates that care is needed when determining
requirements on trap Rabi frequency and magnetic field gradient in practical
atom traps.
