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Semiclassical ionization dynamics of the hydrogen molecular ion in an electric field of arbitrary orientation

T Bartsch and T Uzer

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Quasi-static models of barrier suppression have played a major role in our understanding of the ionization of atoms and molecules in strong laser fields. Despite their success, in the case of diatomic molecules these studies have so far been restricted to fields aligned with the molecular axis. In this paper we investigate the locations and heights of the potential barriers in the hydrogen molecular ion in an electric field of arbitrary orientation. We find that the barriers undergo bifurcations as the external field strength and direction are varied. This phenomenon represents an unexpected level of intricacy even on this most elementary level of the dynamics. We describe the dynamics of tunnelling ionization through the barriers semiclassically and use our results to shed new light on the success of a recent theory of molecular tunnelling ionization as well as earlier theories that restrict the electric field to be aligned with the molecular axis.


PACS

33.80.Eh Autoionization, photoionization, and photodetachment

03.65.Ge Solutions of wave equations: bound states

03.65.Xp Tunneling, traversal time, quantum Zeno dynamics

03.65.Sq Semiclassical theories and applications

Subjects

Atomic and molecular physics

Quantum information and quantum mechanics

Dates

Issue 2 (28 January 2005)

Received 30 June 2004

Published 5 January 2005



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