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Anderson localization as a parametric instability of the linear kicked oscillator

L. Tessieri·F. M. Izrailev
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Abstract

We rigorously analyse the correspondence between the one-dimensional standard Anderson model and a related classical system, the `kicked oscillator' with noisy frequency. We show that the Anderson localization corresponds to a parametric instability of the oscillator, with the localization length determined by an increment of the exponential growth of the energy. Analytical expression for a weak disorder is obtained, which is valid both inside the energy band and at the band edge.

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L. Tessieri, F. M. Izrailev. 1999-12-14. Anderson localization as a parametric instability of the linear kicked oscillator. https://doi.org/10.1103/physreve.62.3090

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