Nonadiabatic 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 semiclassical 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 nonadiabatic 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.
Funding
Devices based on Entanglement in Cold Arrays of Trapped Atoms; G0340; EPSRC-ENGINEERING & PHYSICAL SCIENCES RESEARCH COUNCIL; EP/I010394/1
UK Quantum Technology Hub for Sensors and Metrology; G1511; EPSRC-ENGINEERING & PHYSICAL SCIENCES RESEARCH COUNCIL; EP/M013294/1