We present a comprehensive calculation of 3D dynamic stabilization
(DS) of ground-state hydrogen in superintense circularly polarized laser
pulses. Three laser-pulse envelopes have been considered: Gaussian,
sech, and Lorentzian. The ionization probability at the end of the pulse
Pion
was calculated for a range of high frequencies
ω
ranging from 0.65 to 8 au, for peak fields up to about 60 au (depending on
ω), and for full width at half maximum pulse lengths
τp
extending from 0.25 to 100 cycles (depending on
ω). This is a very accurate calculation, very much more time
consuming than its linear polarization counterpart. For Gaussian and
sech
pulses we find prominent DS and substantial atomic survival under conditions where
our nonrelativistic, dipole approximation calculation is expected to be valid. For
Lorentzian pulses there is no DS in the range studied, and we explain the reasons. We
find that the evolution of the atom is adiabatic and amenable to single-state
Floquet theory, up to very large peak fields (several au), and down to very short
pulses (few cycle, subfemtosecond). The general case of nonadiabatic pulses is
interpreted in terms of the multistate Floquet theory. We compare the results for
Pion
in the cases of circular and linear polarization and find a surprising resemblance, when
represented as a function of the peak intensity. Our results indicate the possibility of
observing DS experimentally with the VUV–FEL light sources that are now in test
operation, or with the attosecond pulses obtained from high harmonic generation, in a
state-of-the-art experiment, however.