NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2008, Vol.11, No.2, pp.292-298


Classical Chaos and Its Relation to Quantum Dynamics in The Case of Multiphoton Dissociation of the Morse Oscillator.
V. Constantoudis, L. P. Konstantinidis, K. I. Dimitriou, Th. Mercouris, and C. A. Nicolaides

Fundamental aspects of the multiphoton dissociation process of a diatomic molecule induced by an infrared laser are described quantitatively and analyzed in the context of both classical and quantum mechanics. The emphasis is on the exploration of the effects of variation of pulse shape and of initial phase, two field parameters whose influence has not been examined systematically in the past. It is found that, a) the effects of pulse shape changes are more important for frequencies lower of the frequency giving the maximum escape probability than for frequencies higher of and b) the initial field phase affects the escape probability even when the pulse contains as many as 100 cycles. Analysis of the results of calculations shows that classical dynamics captures the main trends that are revealed by quantum dynamics. An explanation of the findings is provided in terms of the modifications in classical phase space and of energy exchanges between the main periodic orbits of the oscillator and the external field.
Key words: classical/quantum dynamics, chaos, multiphoton dissociation

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