Anderson localization as a parametric instability of the linear kicked oscillator
Anderson localization as a parametric instability of the linear kicked oscillator
We rigorously analyze 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, the localization length being related to the rate of exponential growth of the energy …