Stabilization of one-dimensional soft-core and singular model atoms

Ultrastrong-field one-electron atom photoionization in one dimension reexamined. The applicability of soft-core and “cusp” potentials as models of a 1D hydrogen atom is revised in the context of the stabilization phenomenon. Our ab initio numerical simulations reveal that the results obtained using the 1D smoothed Coulomb potential and those obtained for Coulomb potential with a singularity strongly disagree.