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Fractal stabilization of Wannier-Stark resonances

M. Glueck·A. R. Kolovsky·H. J. Korsch
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Abstract

The quasienergy spectrum of a Bloch electron affected by dc-ac fields is known to be a fractal function of the so-called electric matching ratio which is the ratio of the ac field frequency and the Bloch frequency. This paper studies a manifestation of the fractal spectrum in the system atom in a standing laser wave, which is a quantum optical realization of a Bloch electron. It is shown that for an appropriate choice of the system parameters the atomic survival probability (a quantity measured in laboratory experiments) develops a fractal structure as a function of the electric matching ratio. Numerical simulations under classically chaotic scattering conditions show good agreement with theoretical predictions based on random matrix theory.

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M. Glueck, A. R. Kolovsky, H. J. Korsch. 2000-06-07. Fractal stabilization of Wannier-Stark resonances. https://doi.org/10.1209/epl%2Fi2000-00345-2

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