Stabilization of a one-dimensional short-range model atom in intense laser fields

Abstract

Abstract. The stabilization of atoms in the presence of very intense and short laser pulses has been proposed and confirmed in various numerical simulations (e.g. Su et al). A question was then raised by several authors (Chen and Bernstein, Krainov and Preobrazhenskii, and Geltman) concerning the possibility of producing such stabilization in a one-dimensional model atom with zero range of electron-nucleus interaction. In this paper we report evidence of stabilization through the suppression of ionization for such a model atom. We find that the use of a highfrequency laser pulse is necessary for such a realization.

Does the dynamic stabilization reflect the numerical instability of direct integration of time dependent Schrödinger equation?

“…In this case, the total ionization probability declines from 0.97 for intensity I = 10 17 W/cm 2 to 0.67 for I = 2 × 10 18 W/cm 2 . The suppression of the ionization probabilities found in these simulations thus confirms the previously published results [4,5] obtained from simulations using DISG, and does not support the conclusion drawn based on approximation method [7,8].…”

“…Instead, a full numerical solution of TDSE is required. In most simulations carried out to investigate the stabilization, the TDSE was solved directly on spatial coordinates with finite size, either using a model potential in 1D space [4] or in a real 3D space [5]. Additionally, the Sturmian basis expansion methods [6] have also been used and successfully demonstrating the stabilization.…”

Exactly solvable model for nonlinear light-matter interaction in an arbitrary time-dependent field

“…There are numerous works in previously published literature which either investigate one-dimensional atom models themselves, or use them as tools to test and study numerical techniques and theories. Much of this work was done in the context of stabilization in strong fields [20]. Numerical and eigenstate expansions have been applied [21], and the Floquet method was also used [22] with the system discussed here.…”

Quantum metastability in time-periodic potentials

“…For example, an active topic in the field of atomic physics is the dynamical stabilization of atoms by intense high-frequency laser fields [1,2,3,4]. Scattering of particles by a time-periodic potential is frequently used as a model for the photon-assisted tunneling and other quantum transport problems [5,6,7,8,9].…”