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How periodic orbit bifurcations drive multiphoton ionization

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S Huang1, C Chandre2 and T Uzer1

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The multiphoton ionization of hydrogen by a strong bichromatic microwave field is a complex process prototypical for atomic control research. Periodic orbit analysis captures this complexity: through the stability of periodic orbits we can match qualitatively the variation of experimental ionization rates with a control parameter, the relative phase between the two modes of the field. Moreover, an empirical formula reproduces quantum simulations to a high degree of accuracy. This quantitative agreement shows how short periodic orbits organize the dynamics in multiphoton ionization.


PACS

32.80.Rm Multiphoton ionization and excitation to highly excited states

05.45.-a Nonlinear dynamics and nonlinear dynamical systems

MSC

37G15 Bifurcations of limit cycles and periodic orbits

37D45 Strange attractors, chaotic dynamics

Subjects

Atomic and molecular physics

Statistical physics and nonlinear systems

Dates

Issue 11 (14 June 2007)

Received 24 April 2007, in final form 25 April 2007

Published 23 May 2007



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