Nonlinear Behaviour Of One-Dimensional Hydrogen Atom In An Ultra-Short Femto-Second Laser Field

M. Ghalim*, S. Barmaki, F. Mastour

Laboratoire de Physique Atomique et Moléculaire

Université HASSAN II, Faculté des Sciences Aïn Chock

B. P. 5366, Maârif. Km 8, route d'El Jadida, Casablanca, Maroc.

* Corresponding author. E-mail : ghalim@wanadoo.net.ma

Received 24 November 2000

Abstract

We have investigated classically the nonlinear behavior of one-dimensional hydrogen atom in an intense femto second laser. The electron trajectories were computed with the help of Runge Kutta algorithm to the fifth order. Our results show that both the trajectories and the ionization probability of the electron are very sensitive to the initial conditions and to the laser pulse phase. This sensitivity disappears when a classical distribution of atoms is used. A comparison with a quantum model is also made, showing a disagreement. Finally, the process of stabilization of the atom against ionization in the laser pulse is explored.

Keywords: Hydrogen model atom; Femtosecond laser; Runge Kutta algoritm; Ionization; Stabilization; Classical approach; Quantum approach.

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