Ionization of Hydrogen Atoms by a Low-frequency Laser Field of an Arbitrary Strength
نویسنده
چکیده
We present a further development of an analytical model for the tunneling ionization of atoms by a lowfrequency laser field of an arbitrary strength, including the strong-field region. The model uses a very accurate approximation of the true ionization barrier/potential in the Schrödinger equation by the effective parabolic barrier/ potential-based on the algorithm suggested by Miller and Good and later employed by Kulyagin and Taranukhin (KT) for calculating the ionization rate W(F) of hydrogen atoms from the ground state. We point out and eliminate a number of principal errors made by KT and calculate W(F) much more accurately. We demonstrate that the dependence of the ionization rate on the laser field is monotonic and does not show any effect of the stabilization ("local ionization suppression") claimed by KT. Our results for W(F) are in a good agreement with the results of quantum fully-numerical simulations. The analytical method, further developed in the present paper, can be extended without difficulty to calculations of the tunneling ionization for a number of other quantum systems. PACS Numbers: 32.80.Fb, 31.15.-p.
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