In. Kosarev et Gl. Yudin, QUASI-STATIONARY STATE DECAY THEORY OF NONRESONANT MULTIPHOTON IONIZATION, Journal of physics. B, Atomic molecular and optical physics, 26(14), 1993, pp. 2115-2126
A non-perturbative theory which is based on the three-dimensional gaug
e-invariant quasistationary state decay approach is developed to descr
ibe the non-resonant multiphoton ionization of real atoms. Using this
approach, we are able to (a) solve a time-dependent Schrodinger equati
on for an atom-field system in a controllable approximation. Thus this
leads us to (b) the possibility of describing non-resonant multiphoto
n processes which are straightforwardly treated in our formalism with
none of the gauge difficulties sometimes encountered in previous appro
aches. Low-order low-frequency moderate-field approximations of the th
eory eventually reduce to results of earlier efforts, namely, the pion
eering non-perturbative description of multiphoton ionization by Keldy
sh and refinements to it through partial consideration of atom-field i
nteraction in initial state (Faisal, Reiss), Besides, (c) we can analy
se the exceptional stabilization effect in a high-frequency superinten
se laser field. Our analytic high-frequency results provide a simple y
et instructive extension to the weak-bound regime of ionization proces
ses. To illustrate the main features of the stabilization phenomenon,
simple atomic systems consisting of an electron bounded initially by C
oulomb and delta-well binding potentials are considered. The calculate
d ionization probabilities show that there is no stabilization effect
in the case of negative ions, but on the contrary, for neutral atoms a
nd positively charged ions, the stabilization takes place.