K. Karremans et al., OBSERVATION OF THE TRANSITION TO CHAOS IN THE LEVEL STATISTICS OF DIAMAGNETIC HELIUM, Physical review letters, 81(22), 1998, pp. 4843-4846
We have investigated level statistics in constant-scaled-energy spectr
a of the diamagnetic helium atom. In a transversely laser-cooled beam
metastable triplet atoms are excited to Rydberg states in the presence
of a magnetic field, resolving all resonances. In the regime of regul
ar classical motion level distributions obeying Poisson statistics are
observed. Small deviations are attributed to scattering at the nonhyd
rogenic He+ core as inferred from closed-orbit theory. The nearest-nei
ghbor spacings in spectra in the chaotic regime demonstrate a clear sh
ift towards Wigner statistics. [S0031-9007(98)07780-1].