Controlling dissociation by trapping trajectories in highly energetic states

A.K. de Almeida , R. Egydio de Carvalho and E.F. de Lima

Physica A: Statistical Mechanics and its Applications, 2016, vol. 449, issue C, 101-110

Abstract: We consider the non-linear dynamics of a polar diatomic molecule under the action of laser–field interactions and in the presence of a dissipation mechanism, described by the classical damped and driven one-dimensional Morse oscillator. In the absence of laser fields and dissipation, the phase space consists of a negative-energy bound region and a positive-energy dissociative region. Laser–molecule interaction changes the phase space allowing transitions from the bound to the dissociative region through chaotic routes. We show that for a spatially dependent dipole force, resonances with positive energies allow the trapping of trajectories in pseudo-bound states. We also show that, upon the introduction of dissipation, there exist non-trivial point attractors as well as chaotic attractors, which capture the trajectories in pseudo-bound states. Consequently, in addition to the parameters associated with the laser–molecule interaction, the amplitude of the dissipation acts as a control parameter of the photo-dissociation dynamics.

Keywords: Morse potential; Non-linear resonance; Dissociation; Dissipation; Attractors (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:449:y:2016:i:c:p:101-110

DOI: 10.1016/j.physa.2015.12.109

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