Anderson localization as a parametric instability of the linear kicked oscillator

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.

7 pages, Revtex, no figures, submitted to Phys. Rev. E

References in corpus (2)

• Localization and Mobility Edge in One-Dimensional Potentials with Correlated Disorder
• Experimental observation of the mobility edge in a waveguide with correlated disorder

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