  To exploit the high intensity of laser radiation, we propose to select
frequencies at which single-photon absorption is of too low energy and two or
more photons are needed to produce states of an atom that can undergo
interatomic Coulombic decay (ICD) with its neighbors. For Ne dimer it is
explicitly demonstrated that the proposed scheme to investigate interatomic
processes by multiphoton absorption is much more efficient than with
single-photon absorption of sufficiently large frequency as used until now.
Extensive calculations on Ne dimer including all the involved nuclear dynamics
and the losses by ionization of the participating states show how the
low-energy ICD electrons and Ne$^+$ pairs are produced for different laser
intensities and pulse durations. At higher intensities the production of Ne$^+$
pairs by successive ionization of the two atoms becomes competitive and the
respective emitted electrons interfere coherently with the ICD electrons. It is
also demonstrated that a measurement after a time delay can be used to
determine the contribution of ICD even at high laser intensity.
