Stabilization dynamics in an intense circularly polarized laser field

We study quantum and classical dynamics of the electron in ionization stabilization of the two-dimensional hydrogen atom irradiated by an intense circularly polarized laser. When the quantum time evolution of the wave packet is stable but the corresponding classical time evolution is diffusive, stabilization can be understood to arise from the effect of quantum localization that suppresses classically chaotic diffusion. When both the quantum and classical time evolutions exhibit a stable behavior, stabilization can be regarded as originating from stable classical orbits generated by nonlinear resonance. We also investigate the effect of the bare Coulomb singularity on ionization stabilization.