Toward a measurement of the effective gauge field and the Born–Huang potential with atoms in chip traps

We study magnetic traps with very high trap frequencies where the spin is coupled to motion of atom. This allows us investigate how Born–Oppenheimer approximation fails and effective electric fields appear as consequence non-adiabatic dynamics. The results are based on exact numerical diagonalization full Hamiltonian describing coupling between internal external degrees freedom. position in energy decay rate trapping states corresponding imaginary part resonances this computed using complex rotation method.