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Ab initio verification of the analytical R-matrix theory for strong field ionization

We summarize the key aspects of the recently developed analytical R-matrix (ARM) theory for strong field ionization (Torlina and Smirnova 2012 Phys. Rev. A 86 043408; Kaushal and Smirnova 2013 Phys. Rev. A 88 013421), and present tests of this theory using ab initio numerical simulations for hydrogen and helium atoms in long circularly polarized laser pulses. We find excellent agreement between the predictions of ARM and the numerical calculations.