Signatures of Anderson localization in the ionization rates of periodically driven Rydberg states

Details Signatures of Anderson localization in the ionization rates of periodically driven Rydberg states Signatures of Anderson localization in the ionization rates of periodically driven Rydberg states

2002-11-12

arxiv.org/abs/nlin/0211017v1

J. Phys. A: Math. Gen. 34 (2001) 7181-7193

Nonlinear Sciences

Chaotic Dynamics

13 pages, 9 figures

Scientific paper

10.1088/0305-4470/34/36/305

We provide a statistical characterization of the ionization yield of one-dimensional, periodically driven Rydberg states of atomic hydrogen, in the spirit of Anderson localization theory. We find excellent agreement with predictions for the conductance across an Anderson localized, quasi one-dimensional, disordered wire, in the semiclassical limit of highly excited atomic initial states. For the moderate atomic excitations typically encountered in state of the art laboratory experiments, finite-size effects induce significant deviations from the solid-state picture. However, large scale fluctuations of the atomic conductance prevail and are robust when averaged over a finite interval of driving field amplitudes, as inevitably done in the experiment.

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